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    GATE Mechanical 2021 Set 2 | Question: 20
    Consider adiabatic flow of air through a duct. At a given point in the duct, velocity of air is $\text{300 m/s}$, temperature is $\text{330 K}$ and pressure is $\text{180 kPa}$. Assume that the air behaves as a perfect gas with constant ... $\text{K} (\textit{round off to two decimal places}$).
    Consider adiabatic flow of air through a duct. At a given point in the duct, velocity of air is $\text{300 m/s}$, temperature is $\text{330 K}$ and pressure is $\text{180 kPa}$. Assume that the air behaves as a perfect gas with constant $c_p=1.005 \text{ kJ/kg.K}$. The stagnation temperature at this point is _______ $\text{K} (\textit{round off to two decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 21
    Consider an ideal vapour compression refrigeration cycle working on $\text{R-134a}$ refrigerant. The $\text{COP}$ of the cycle is $10$ and the refrigeration capacity is $\text{150 kJ/kg}$. The heat rejected by the refrigerant in the condenser is __________ $\text{kJ/kg} (\textit{round off to the nearest integer}$).
    Consider an ideal vapour compression refrigeration cycle working on $\text{R-134a}$ refrigerant. The $\text{COP}$ of the cycle is $10$ and the refrigeration capacity is $\text{150 kJ/kg}$. The heat rejected by the refrigerant in the condenser is __________ $\text{kJ/kg} (\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 22
    A rigid tank of volume $50 \text{ m}^{3}$ contains a pure substance as a saturated liquid vapour mixture at $\text{400 kPa}$. Of the total mass of the mixture, $20\%$ mass is liquid and $80\%$ ... $\text{kg } (\textit{round off to the nearest integer}$).
    A rigid tank of volume $50 \text{ m}^{3}$ contains a pure substance as a saturated liquid vapour mixture at $\text{400 kPa}$. Of the total mass of the mixture, $20\%$ mass is liquid and $80\%$ mass is vapour. Properties at $\text{400 kPa}$ ... $/kg}$. The total mass of liquid vapour mixture in the tank is _______ $\text{kg } (\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 23
    An object is moving with a Mach number of $0.6$ in an ideal gas environment, which is at a temperature of $\text{350 K}$. The gas constant is $\text{320 J/kg.K}$ and ratio of specific heats is $1.3$. The speed of object is _________ $\text{m/s} (\textit{round off to the nearest integer}$).
    An object is moving with a Mach number of $0.6$ in an ideal gas environment, which is at a temperature of $\text{350 K}$. The gas constant is $\text{320 J/kg.K}$ and ratio of specific heats is $1.3$. The speed of object is _________ $\text{m/s} (\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 24
    A column with one end fixed and one end free has a critical buckling load of $\text{100 N}$. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be _______ $\text{N}\; (\textit{round off to the nearest integer}$).
    A column with one end fixed and one end free has a critical buckling load of $\text{100 N}$. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be _______ $\text{N}\; (\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 25
    A steel cubic block of side $\text{200 mm}$ is subjected to hydrostatic pressure of $\text{250 N/mm}^{2}$. The elastic modulus is $2 \times 10^{5}\:\text{N/mm}^{2}$ and Poisson ratio is $0.3$ for steel. The side of the block is reduced by _________ $\text{mm}\: (\textit{round off to two decimal places}$).
    A steel cubic block of side $\text{200 mm}$ is subjected to hydrostatic pressure of $\text{250 N/mm}^{2}$. The elastic modulus is $2 \times 10^{5}\:\text{N/mm}^{2}$ and Poisson ratio is $0.3$ for steel. The side of the block is reduced by _________ $\text{mm}\: (\textit{round off to two decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 35
    Find the positive real root of $x^3-x-3=0$ using Newton-Raphson method. lf the starting guess $(x_{0})$ is $2,$ the numerical value of the root after two iterations $(x_{2})$ is ______ ($\textit{round off to two decimal places}$).
    Find the positive real root of $x^3-x-3=0$ using Newton-Raphson method. lf the starting guess $(x_{0})$ is $2,$ the numerical value of the root after two iterations $(x_{2})$ is ______ ($\textit{round off to two decimal places}$).
    asked Mar 1 in Numerical Methods jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 36
    Daily production capacity of a bearing manufacturing company is $30000$ bearings. The daily demand of the bearing is $15000$. The holding cost per year of keeping a bearing in the inventory is $₹20$. The setup cost for the production of a ... $\textit{in integer}$).
    Daily production capacity of a bearing manufacturing company is $30000$ bearings. The daily demand of the bearing is $15000$. The holding cost per year of keeping a bearing in the inventory is $₹20$. The setup cost for the production of a batch is $₹1800$. Assuming $300$ working days in a year, the economic batch quantity in number of bearings is ______ ($\textit{in integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 37
    A cast product of a particular material has dimensions $75\: \text{mm} \times 125\: \text{mm} \times 20 \:\text{mm}$. The total solidification time for the cast product is found to be $2.0$ minutes as calculated using Chvorinov's rule ... = $\text{50 mm}$, the total solidification time will be ______ minutes ($\textit{round off to two decimal places}$).
    A cast product of a particular material has dimensions $75\: \text{mm} \times 125\: \text{mm} \times 20 \:\text{mm}$. The total solidification time for the cast product is found to be $2.0$ minutes as calculated using Chvorinov's rule having the index, $n =2$. ... $\text{50 mm}$, the total solidification time will be ______ minutes ($\textit{round off to two decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 38
    A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of $\text{5 mm}$ and a thickness of $\text{1 mm}$. The welding time was $\text{0.1 s}$ ... $\text{kW} (\textit{round off to two decimal places}$).
    A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of $\text{5 mm}$ and a thickness of $\text{1 mm}$. The welding time was $\text{0.1 s}$. The melting energy for the steel is $\text{20 J/mm}^{3}$. Assuming ... as $10\%$, the power required for performing the spot welding operation is ________ $\text{kW} (\textit{round off to two decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 39
    A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50 mm}({height}$). The grinding was performed using an alumina wheel ... energy under the aforesaid grinding conditions is ______ $\text{J/mm}^{3} (\textit{round off to one decimal place}$).
    A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50 mm}({height}$). The grinding was performed using an alumina wheel having a wheel diameter ... specific grinding energy under the aforesaid grinding conditions is ______ $\text{J/mm}^{3} (\textit{round off to one decimal place}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 40
    In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be $\text{400 N}$. The cutting velocity, $V_{c}=100$ $\text{m/min}$, depth of cut, $\text{t= 2.0 mm}$ ... , the shear strength, $\tau_{s}$, of the material will be ______ $\text{MPa} (\textit{round off to two decimal places}$).
    In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be $\text{400 N}$. The cutting velocity, $V_{c}=100$ $\text{m/min}$, depth of cut, $\text{t= 2.0 mm}$, feed, $s_{0}=0.1 \text{ mm}$/ ... $\text{m/min}$, the shear strength, $\tau_{s}$, of the material will be ______ $\text{MPa} (\textit{round off to two decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 41
    The thickness, width and length of a metal slab are $\text{50 mm}$, $\text{250 mm}$ and $\text{3600 mm}$, respectively. A rolling operation on this slab reduces the thickness by $10\%$ and increases the width by $3\%$. The length of the rolled slab is ________ $\text{mm} \:(\textit{round off to one decimal place}$).
    The thickness, width and length of a metal slab are $\text{50 mm}$, $\text{250 mm}$ and $\text{3600 mm}$, respectively. A rolling operation on this slab reduces the thickness by $10\%$ and increases the width by $3\%$. The length of the rolled slab is ________ $\text{mm} \:(\textit{round off to one decimal place}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 42
    A $\text{76.2 mm}$ gauge block is used under one end of a $\text{254 mm}$ sine bar with roll diameter of $\text{25.4 mm}$. The height of gauge blocks required at the other end of the sine bar to measure an angle of $30^{\circ}$ is ______ $\text{mm} (\textit{round off to two decimal places}$).
    A $\text{76.2 mm}$ gauge block is used under one end of a $\text{254 mm}$ sine bar with roll diameter of $\text{25.4 mm}$. The height of gauge blocks required at the other end of the sine bar to measure an angle of $30^{\circ}$ is ______ $\text{mm} (\textit{round off to two decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 43
    The demand and forecast of an item for five months are given in the table. ... Mean Absolute Percent Error $\text{(MAPE)}$ in the forecast is __________________ $\% (\textit{round off to two decimal places}$)
    The demand and forecast of an item for five months are given in the table. ... $\text{(MAPE)}$ in the forecast is __________________ $\% (\textit{round off to two decimal places}$)
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 44
    A shell and tube heat exchanger is used as a steam condenser. Coolant water enters the tube at $300 \text{ K}$ at a rate of $100 \text{ kg/s}$ ... temperature of the coolant water coming out of the condenser is __________________ $\text{K} (\textit{round off to the nearest integer}$).
    A shell and tube heat exchanger is used as a steam condenser. Coolant water enters the tube at $300 \text{ K}$ at a rate of $100 \text{ kg/s}$. The overall heat transfer coefficient is $1500 \text{ W/m}^{2}.\text{K}$, and total heat transfer area ... $\text{K} (\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 45
    Ambient air flows over a heated slab having flat, top surface at $y = 0$. The local temperature (in Kelvin) profile within the thermal boundary layer is given by $\text{T(y)} = 300 + 200 \exp (-5y)$, where $\text{y}$ is the distance ... $y=0$ is ____________________ $\text{K/m} (\textit{round off to the nearest integer}$).
    Ambient air flows over a heated slab having flat, top surface at $y = 0$. The local temperature (in Kelvin) profile within the thermal boundary layer is given by $\text{T(y)} = 300 + 200 \exp (-5y)$, where $\text{y}$ is the distance measured from the slab surface in ... $\text{|dT/dy|}$ within the slab at $y=0$ is ____________________ $\text{K/m} (\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 46
    Water flows out from a large tank of cross-sectional area $A_{t}=1 \text{ m}^{2}$ through a small rounded orifice of cross-sectional area $A_{o} = 1 \text{ cm}^2$, located at $y= 0$ ... in the tank to reach a level of $\text{y = H/4}$ is __________________ seconds ($\textit{round off to one decimal places}$).
    Water flows out from a large tank of cross-sectional area $A_{t}=1 \text{ m}^{2}$ through a small rounded orifice of cross-sectional area $A_{o} = 1 \text{ cm}^2$, located at $y= 0$. Initially the water level, measured from $y = 0$ ... time taken by water in the tank to reach a level of $\text{y = H/4}$ is __________________ seconds ($\textit{round off to one decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 47
    Consider the open feed water heater $\text{(FWH)}$ shown in the figure given below: Specific enthalpy of steam at location $2$ is $\text{2624 kJ/kg}$, specific enthalpy of water at location $5$ is $\text{226.7 kJ/kg}$ and specific enthalpy ... then the mass flow rate of steam at location $2$ will be ________ $\text{kg/s}$ (round off to one decimal place).
    Consider the open feed water heater $\text{(FWH)}$ shown in the figure given below: Specific enthalpy of steam at location $2$ is $\text{2624 kJ/kg}$, specific enthalpy of water at location $5$ is $\text{226.7 kJ/kg}$ and specific enthalpy of saturated water at location $6$ ... $2$ will be ________ $\text{kg/s}$ (round off to one decimal place).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 48
    A high velocity water jet of cross section area = $0.01 \text{ m}^{2}$ and velocity $\text{35 m/s}$ enters a pipe filled with stagnant water. The diameter of the pipe is $\text{0.32 m}$. This high velocity water jet entrains ... the figure. The flow rate of entrained water is _______________ liters/$\text{s}\: (\textit{round off to two decimal places}$).
    A high velocity water jet of cross section area = $0.01 \text{ m}^{2}$ and velocity $\text{35 m/s}$ enters a pipe filled with stagnant water. The diameter of the pipe is $\text{0.32 m}$. This high velocity water jet entrains additional water from the pipe ... as shown in the figure. The flow rate of entrained water is _______________ liters/$\text{s}\: (\textit{round off to two decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 49
    A vertical shaft Francis turbine rotates at $\text{300 rpm}$. The available head at the inlet to the turbine is $\text{200 m}$. The tip speed of the rotor is $\text{40 m/s}$. Water leaves the runner of the turbine without whirl. Velocity at ... $\% (\textit{round off to one decimal place}$).
    A vertical shaft Francis turbine rotates at $\text{300 rpm}$. The available head at the inlet to the turbine is $\text{200 m}$. The tip speed of the rotor is $\text{40 m/s}$ ... $g=9.8 \text{ m/s}^{2}$. The hydraulic efficiency of the turbine is ______ $\% (\textit{round off to one decimal place}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 50
    An adiabatic vortex tube, shown in the figure given below is supplied with $\text{5 kg/s}$ of air (inlet $1$) at $\text{500 kPa}$ and $\text{300 K}$. Two separate streams of air are leaving the device from outlets $2$ and $3$. ... the boundary of this device. The rate of entropy generation is _______ $\text{kW/K}\:(\textit{round off to one decimal place}$).
    An adiabatic vortex tube, shown in the figure given below is supplied with $\text{5 kg/s}$ of air (inlet $1$) at $\text{500 kPa}$ and $\text{300 K}$. Two separate streams of air are leaving the device from outlets $2$ and $3$. Hot air leaves the ... transfer across the boundary of this device. The rate of entropy generation is _______ $\text{kW/K}\:(\textit{round off to one decimal place}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 51
    A block of negligible mass rests on a surface that is inclined at $30^{\circ}$ to the horizontal plane as shown in the figure. When a vertical force of $\text{900 N}$ and a horizontal force of $\text{750 N}$ are applied, ... to slide. The coefficient of static friction between the block and surface is _______ ($\textit{round off to two decimal places}$).
    A block of negligible mass rests on a surface that is inclined at $30^{\circ}$ to the horizontal plane as shown in the figure. When a vertical force of $\text{900 N}$ and a horizontal force of $\text{750 N}$ are applied, the block is just about to slide. The coefficient of static friction between the block and surface is _______ ($\textit{round off to two decimal places}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 52
    The wheels and axle system lying on a rough surface is shown in the figure. Each wheel has diameter $\text{0.8 m}$ and mass $\text{1 kg}$. Assume that the mass of the wheel is concentrated at rim and neglect the mass of the spokes. The ... of the wheel axle system in horizontal direction is ______ $\text{m/s}^{2} (\textit{round off to one decimal place}$).
    The wheels and axle system lying on a rough surface is shown in the figure. Each wheel has diameter $\text{0.8 m}$ and mass $\text{1 kg}$ ... . The acceleration of the wheel axle system in horizontal direction is ______ $\text{m/s}^{2} (\textit{round off to one decimal place}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 53
    A cantilever beam with a uniform flexural rigidity ($\text{EI} = 200 \times 10^{6} \text{N.m}^{2}$ ) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the ... magnitude of the slope of the beam at its free end is ______ micro radian ($\textit{round off to the nearest integer}$).
    A cantilever beam with a uniform flexural rigidity ($\text{EI} = 200 \times 10^{6} \text{N.m}^{2}$ ) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the beam is $10000 \text{ N.m}^{2}$. The magnitude of the slope of the beam at its free end is ______ micro radian ($\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 54
    The torque provided by an engine is given by $T(\theta) =12000+ 2500 \sin(2 \theta) \text{N.m}$, where $\theta$ is the angle turned by the crank from inner dead center. The mean speed of the engine is $\text{200 rpm}$ and it ... minimum mass moment of inertia of the flywheel should be _______ $\text{kg.m}^{2} (\textit{round off to the nearest integer}$).
    The torque provided by an engine is given by $T(\theta) =12000+ 2500 \sin(2 \theta) \text{N.m}$, where $\theta$ is the angle turned by the crank from inner dead center. The mean speed of the engine is $\text{200 rpm}$ and it drives a machine that provides a ... $\text{kg.m}^{2} (\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 2 | Question: 55
    The figure shows the relationship between fatigue strength $\text{(S)}$ and fatigue life $\text{(N)}$ of a material. The fatigue strength of the material for a life of $1000$ cycles is $\text{450 MPa}$, while its fatigue strength for a ... to an alternating stress of $\text{200 MPa}$ will then be _______ cycles ($\textit{round off to the nearest integer}$).
    The figure shows the relationship between fatigue strength $\text{(S)}$ and fatigue life $\text{(N)}$ of a material. The fatigue strength of the material for a life of $1000$ cycles is $\text{450 MPa}$, while its fatigue strength for a life of $10^{6}$ ... this material subjected to an alternating stress of $\text{200 MPa}$ will then be _______ cycles ($\textit{round off to the nearest integer}$).
    asked Mar 1 in Others jothee 4.9k points
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    GATE Mechanical 2021 Set 1 | Question: 20
    Robot $\text{Ltd}$ ... fulfillment probability for the lead time period is _____________ units ($\textit{round off to two decimal places}$).
    Robot $\text{Ltd}$. wishes to maintain enough safety stock during the lead time period between starting a new production run and its completion such that the probability of satisfying the customer demand during the lead time period is $95\%$. The lead time ... achieve this demand fulfillment probability for the lead time period is _____________ units ($\textit{round off to two decimal places}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 21
    A pressure measurement device fitted on the surface of a submarine, located at a depth $\text{H}$ below the surface of an ocean, reads an absolute pressure of $\text{4.2 MPa}$. The density of sea water is $\text{1050 kg/m$^{3}$}$, the atmospheric ... $}$ The depth $\text{H}$ is _____________ $\text{m}$ ($\textit{round off to the nearest integer}$).
    A pressure measurement device fitted on the surface of a submarine, located at a depth $\text{H}$ below the surface of an ocean, reads an absolute pressure of $\text{4.2 MPa}$. The density of sea water is $\text{1050 kg/m$^{3}$}$, the atmospheric pressure is $\text{101 kPa}$, ... $}$ The depth $\text{H}$ is _____________ $\text{m}$ ($\textit{round off to the nearest integer}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 22
    Consider fully developed, steady state incompressible laminar flow of a viscous fluid between two large parallel horizontal plates. The bottom plate is fixed and the top plate moves with a constant velocity of $\text{U= 4 m/s}$. Separation between the ... average shear stress in the fluid is _____ $\text{Pa}$ ($\textit{round off to the nearest integer}$).
    Consider fully developed, steady state incompressible laminar flow of a viscous fluid between two large parallel horizontal plates. The bottom plate is fixed and the top plate moves with a constant velocity of $\text{U= 4 m/s}$. Separation between the plates is $\text{5 mm}$. There ... $\text{Pa}$ ($\textit{round off to the nearest integer}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 23
    A rigid insulated tank is initially evacuated. It is connected through a valve to a supply line that carries air at a constant pressure and temperature of $\text{250 kPa}$ and $\text{400 K}$ respectively. Now the valve is opened and air is ... Final temperature of the air inside the tank is _______ $\text{K}$ ($\textit{round off to one decimal place}$).
    A rigid insulated tank is initially evacuated. It is connected through a valve to a supply line that carries air at a constant pressure and temperature of $\text{250 kPa}$ and $\text{400 K}$ respectively. Now the valve is opened and air is allowed to flow into the tank ... $\text{K}$ ($\textit{round off to one decimal place}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 24
    The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is $\text{100 kg.m}^{2}$. The propeller rotates at $\omega =12$ $\text{rad/s}$. The ... moment generated on the shaft due to the motion described is ________ $\text{N.m}(\textit{round off to the nearest integer}$).
    The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is $\text{100 kg.m}^{2}$. The propeller rotates at $\omega =12$ $\text{rad/s}$. The waves acting on the ship ... The gyroscopic moment generated on the shaft due to the motion described is ________ $\text{N.m}(\textit{round off to the nearest integer}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 25
    Consider a single degree of freedom system comprising a mass $\text{M}$, supported on a spring and a dashpot as shown in the figure. If the amplitude of the free vibration response reduces from $\text{8 mm}$ to $\text{1.5 mm}$ in $3$ cycles, the damping ratio of the system is ______________ ($\textit{round off to three decimal places}$).
    Consider a single degree of freedom system comprising a mass $\text{M}$, supported on a spring and a dashpot as shown in the figure. If the amplitude of the free vibration response reduces from $\text{8 mm}$ to $\text{1.5 mm}$ in $3$ cycles, the damping ratio of the system is ______________ ($\textit{round off to three decimal places}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 35
    Activities $\text{A, B, C}$ and $\text{D}$ form the critical path for a project with a $\text{PERT}$ network. The means and variances of the activity duration for each activity are given below. All activity durations follow the Gaussian (normal) ... $\text{Note}$: Probability is a number between $0$ and $1$).
    Activities $\text{A, B, C}$ and $\text{D}$ form the critical path for a project with a $\text{PERT}$ network. The means and variances of the activity duration for each activity are given below. All activity durations follow the Gaussian (normal) distribution, and are ... ________________ ($\textit{round off to two decimal places}$). ($\text{Note}$: Probability is a number between $0$ and $1$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 36
    A true centrifugal casting operation needs to be performed horizontally to make copper tube sections with outer diameter of $\text{250 mm}$ and inner diameter of $\text{230 mm}$ ... the tube, the rotational speed required is _________ $\text{rpm}$ ($\textit{round off to the nearest integer}$).
    A true centrifugal casting operation needs to be performed horizontally to make copper tube sections with outer diameter of $\text{250 mm}$ and inner diameter of $\text{230 mm}$. The value of acceleration due to gravity, $g = 10\text{ m/s}^{2}$ ... $\text{rpm}$ ($\textit{round off to the nearest integer}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 37
    The resistance spot welding of two $\text{1.55 mm}$ thick metal sheets is performed using welding current of $\text{10000 A}$ for $\text{0.25 s}$. The contact resistance at the interface of the metal sheets is $0.0001\; \Omega$ . The ... $\%$ ($\textit{round off to one decimal place}$).
    The resistance spot welding of two $\text{1.55 mm}$ thick metal sheets is performed using welding current of $\text{10000 A}$ for $\text{0.25 s}$. The contact resistance at the interface of the metal sheets is $0.0001\; \Omega$ . The volume of weld nugget formed after ... $\%$ ($\textit{round off to one decimal place}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 38
    An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of $12^{\circ}$ on a lathe. During turning, the cutting force and the friction force are $\text{1000 N}$ and $\text{600 N}$, respectively. If the ... $\text{N}$ ($\textit{round off to two decimal places}$).
    An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of $12^{\circ}$ on a lathe. During turning, the cutting force and the friction force are $\text{1000 N}$ and $\text{600 N}$, respectively. If the chip thickness and the uncut ... $\text{0.75 mm}$, respectively, then the shear force is ________$\text{N}$ ($\textit{round off to two decimal places}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 39
    In a grinding operation of a metal, specific energy consumption is $15 \text{ J/mm}^{3}$. If a grinding wheel with a diameter of $\text{200 mm}$ is rotating at $\text{3000 rpm}$ to obtain a material removal rate of $6000\text{ mm$^{3}$/min}$, then the tangential force on the wheel is _______ $\text{N}$ ($\textit{round off to two decimal places}$).
    In a grinding operation of a metal, specific energy consumption is $15 \text{ J/mm}^{3}$. If a grinding wheel with a diameter of $\text{200 mm}$ is rotating at $\text{3000 rpm}$ to obtain a material removal rate of $6000\text{ mm$^{3}$/min}$, then the tangential force on the wheel is _______ $\text{N}$ ($\textit{round off to two decimal places}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 40
    A $\text{200 mm}$ wide plate having a thickness of $\text{20 mm}$ is fed through a rolling mill with two rolls. The radius of each roll is $\text{300 mm}$. The plate thickness is to be reduced to $\text{18 mm}$ in one pass ... to permit the rolling operation then the roll force will be _________ $\text{kN}$ ($\textit{round off to the nearest integer}$).
    A $\text{200 mm}$ wide plate having a thickness of $\text{20 mm}$ is fed through a rolling mill with two rolls. The radius of each roll is $\text{300 mm}$. The plate thickness is to be reduced to $\text{18 mm}$ in one pass using a roll speed of ... friction is sufficient to permit the rolling operation then the roll force will be _________ $\text{kN}$ ($\textit{round off to the nearest integer}$).
    asked Feb 22 in Others gatecse 1.6k points
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    GATE Mechanical 2021 Set 1 | Question: 41
    The $\text{XY}$ table of a $\text{NC}$ machine tool is to move from $P(1,1)$ to $Q(51,1)$; all coordinates are in $\text{mm}$. The pitch of the $\text{NC}$ drive leadscrew is $\text{1 mm}$. If the backlash between the leadscrew and the ... of the table on moving from $\text{P}$ to $\text{Q}$ is ______ $\text{mm}$ ($\textit{round off to two decimal places}$)
    The $\text{XY}$ table of a $\text{NC}$ machine tool is to move from $P(1,1)$ to $Q(51,1)$; all coordinates are in $\text{mm}$. The pitch of the $\text{NC}$ drive leadscrew is $\text{1 mm}$. If the backlash between the leadscrew and the nut is $1.8^{\circ}$ ... the total backlash of the table on moving from $\text{P}$ to $\text{Q}$ is ______ $\text{mm}$ ($\textit{round off to two decimal places}$)
    asked Feb 22 in Others gatecse 1.6k points
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