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Recent questions tagged numerical-answers
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GATE2016-3-43
A cylindrical steel rod, $0.01 \: m$ in diameter and $0.2 \: m$ in length is first heated to $750^ \circ C$ and then immersed in a water bath at $100^ \circ C$. The heat transfer coefficient is $250 \: W/m^2-K$. The density, specific heat and thermal ... $k=43 \: W/m-K$, respectively. The time required for the rod to reach $300^ \circ C$ is ________ seconds.
A cylindrical steel rod, $0.01 \: m$ in diameter and $0.2 \: m$ in length is first heated to $750^ \circ C$ and then immersed in a water bath at $100^ \circ C$. The heat ...
Arjun
28.5k
points
Arjun
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Feb 24, 2017
Heat Transfer
gateme-2016-set3
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
heat-exchanger
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–
0
answers
0
votes
GATE2016-3-42
Two large parallel plates having a gap of $10 \: mm$ in between them are maintained at temperatures $T_1 = 1000 \: K$ and $T_2 = 400 \: K$. Given emissivity values, $\epsilon _1 = 0.5$, $\epsilon _2=0.25$ and Stefan-Boltzmann constant $\sigma =5.67 \times 10^{−8} \: W/m^2-K^4$, the heat transfer between the plates (in $kW/m^2$) is __________
Two large parallel plates having a gap of $10 \: mm$ in between them are maintained at temperatures $T_1 = 1000 \: K$ and $T_2 = 400 \: K$. Given emissivity values, $\ep...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set3
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
heat-transfer-correlations-for-flow-over-flat-plates-and-through-pipes
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–
0
answers
0
votes
GATE2016-3-40
The water jet exiting from a stationary tank through a circular opening of diameter $300 \: mm$ impinges on a rigid wall as shown in the figure. Neglect all minor losses and assume the water level in the tank to remain constant. The net horizontal force experienced by the wall is ___________ $kN$. Density of water is $1000 \: kg/m^3$. Acceleration due to gravity $g=10 \: m/s^2$.
The water jet exiting from a stationary tank through a circular opening of diameter $300 \: mm$ impinges on a rigid wall as shown in the figure. Neglect all minor losses ...
Arjun
28.5k
points
Arjun
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Feb 24, 2017
Fluid Mechanics
gateme-2016-set3
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2016-3-39
Consider a fully developed steady laminar flow of an incompressible fluid with viscosity $μ$ through a circular pipe of radius $R$. Given that the velocity at a radial location of $R/2$ from the centerline of the pipe is $U_1$, the shear stress at the wall is $KμU_1$/$R$, where $K$ is __________
Consider a fully developed steady laminar flow of an incompressible fluid with viscosity $μ$ through a circular pipe of radius $R$. Given that the velocity at a radial l...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set3
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
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–
0
answers
0
votes
GATE2016-3-38
A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $25$ $mm^2$. A torque $T$ = $200N-m$ is acting on the joint. Neglecting friction due to clamping force, maximum shear stress in a bolt is ______ $MPa$.
A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $25$ $mm^2$. A torque $T$ = $200N-m$ is acting on the joint. Neglectin...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
machine-design
bolted-joints
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–
0
answers
0
votes
GATE2016-3-37
A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of $\sqrt{\dfrac{3k}{m}}$, the ratio of the amplitude of steady state response to the static deflection of the spring is __________
A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of $\sqrt{\dfrac{3k}{m}}$, the ratio of ...
Arjun
28.5k
points
Arjun
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Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
machine-design
springs
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–
0
answers
0
votes
GATE2016-3-36
Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses $m_1$ is attached to the opposite sides of the shaft in the vertical plane as shown in figure. Consider $m=1 \: kg$, $e=50 \: mm$, $e_1=20 \: mm$ ... $a=2 \: m$ and $a_1 = 2.5 \: m$. For the system to be dynamically balanced, $m_1$ should be ________ $kg$.
Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses $m_1$ is attached to the opposite sides of the s...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
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–
0
answers
0
votes
GATE2016-3-33
A square plate of dimension $L \times L$ is subjected to a uniform pressure load $p=250 \: MPa$ on its edges as shown in the figure. Assume plane stress conditions. The Young’s modulus $E=200 \: GPa$ .The deformed shape is a square of dimension $L− 2\delta$. If $L = 2 \: m$ and $\delta=0.001 \: m$, the Poisson’s ratio of the plate material is __________
A square plate of dimension $L \times L$ is subjected to a uniform pressure load $p=250 \: MPa$ on its edges as shown in the figure. Assume plane stress conditions. The Y...
Arjun
28.5k
points
Arjun
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Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
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–
0
answers
0
votes
GATE2016-3-32
A rigid rod $(AB)$ of length $L=\sqrt{2} \: m$ is undergoing translational as well as rotational motion in the $x-y$ plane (see the figure). The point $A$ has the velocity $V_1=\hat{i}+2\hat{j} \: m/s$. The end B is constrained to move only along the $x$ direction. The magnitude of the velocity $V_2$ (in $m/s$) at the end B is __________
A rigid rod $(AB)$ of length $L=\sqrt{2} \: m$ is undergoing translational as well as rotational motion in the $x-y$ plane (see the figure). The point $A$ has the velocit...
Arjun
28.5k
points
Arjun
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Feb 24, 2017
Theory of Machines
gateme-2016-set3
numerical-answers
theory-of-machines
applied-mechanics-and-design
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–
0
answers
0
votes
GATE2016-3-31
A circular disc of radius $100 \: mm$ and mass $1 \: kg$, initially at rest at position $A$, rolls without slipping down a curved path as shown in figure. The speed $v$ of the disc when it reaches position $B$ is _________ $m/s$. Acceleration due to gravity $g = 10 \: m/s^2$.
A circular disc of radius $100 \: mm$ and mass $1 \: kg$, initially at rest at position $A$, rolls without slipping down a curved path as shown in figure. The speed $v$ o...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Theory of Machines
gateme-2016-set3
numerical-answers
theory-of-machines
applied-mechanics-and-design
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–
0
answers
0
votes
GATE2016-3-30
An inextensible massless string goes over a frictionless pulley. Two weights of $100$ $N$ and $200$ $N$ are attached to the two ends of the string. The weights are released from rest, and start moving due to gravity. The tension in the string (in $N$) is __________
An inextensible massless string goes over a frictionless pulley. Two weights of $100$ $N$ and $200$ $N$ are attached to the two ends of the string. The weights are releas...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2016-3-27
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________ Here, $\overline{F}(x,y)=y\hat{i}+2x\hat{j}$ ... $x-y$ Cartesian reference. In evaluating the line integral, the curve has to be traversed in the counter-clockwise direction.
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________Here, $\overline{F...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set3
numerical-answers
calculus
vector-identities
initial-and-boundary-value-problems
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–
0
answers
0
votes
GATE2016-3-26
The number of linearly independent eigenvectors of matrix $A=\begin{bmatrix} 2 & 1 & 0\\ 0 &2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ is _________
The number of linearly independent eigenvectors of matrix $A=\begin{bmatrix} 2 & 1 & 0\\ 0 &2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ is _________
Arjun
28.5k
points
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Feb 24, 2017
Linear Algebra
gateme-2016-set3
numerical-answers
linear-algebra
eigen-values
eigen-vectors
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–
0
answers
0
votes
GATE2016-3-19
The blade and fluid velocities for an axial turbine are as shown in the figure. The magnitude of absolute velocity at entry is $300$ $m/s$ at an angle of $65^\circ$ to the axial direction, while the magnitude of the absolute velocity at exit is ... downward direction. Given that the axial (horizontal) velocity is the same at entry and exit, the specific work (in $kJ/kg$) is__________
The blade and fluid velocities for an axial turbine are as shown in the figure.The magnitude of absolute velocity at entry is $300$ $m/s$ at an angle of $65^\circ$ to the...
Arjun
28.5k
points
Arjun
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Feb 24, 2017
Applications
gateme-2016-set3
numerical-answers
fluid-mechanics-and-thermal-science
applications
turbomachinary
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–
0
answers
0
votes
GATE2016-3-15
Steady one-dimensional heat conduction takes place across the faces $1$ and $3$ of a composite slab consisting of slabs $A$ and $B$ in perfect contact as shown in the figure, where $k_A$ , $k_B$ denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature $T_2$ (in $^\circ C$) is __________
Steady one-dimensional heat conduction takes place across the faces $1$ and $3$ of a composite slab consisting of slabs $A$ and $B$ in perfect contact as shown in the fig...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set3
numerical-answers
one-dimensional-heat-conduction
heat-transfer
applied-mechanics-and-design
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–
0
answers
0
votes
GATE2016-3-13
A channel of width $450$ $mm$ branches into two sub-channels having width $300$ $mm$ and $200$ $mm$ as shown in figure. If the volumetric flow rate (taking unit depth) of an incompressible flow through the main channel is $0.9$ $m^3/s$ and the velocity ... velocity in the sub-channel of width $300$ $mm$ is _____________ $m/s$. Assume both inlet and outlet to be at the same elevation.
A channel of width $450$ $mm$ branches into two sub-channels having width $300$ $mm$ and $200$ $mm$ as shown in figure. If the volumetric flow rate (taking unit depth) of...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set3
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2016-3-11
The static deflection of a spring under gravity, when a mass of $1 \:kg$ is suspended from it, is $1 \: mm$. Assume the acceleration due to gravity $g =10 \: m/s^2$. The natural frequency of this spring-mass system (in $rad/s$) is_____________
The static deflection of a spring under gravity, when a mass of $1 \:kg$ is suspended from it, is $1 \: mm$. Assume the acceleration due to gravity $g =10 \: m/s^2$. The ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
machine-design
springs
+
–
0
answers
0
votes
GATE2016-3-4
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −$3$ to +$3$ is __________
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −$3$ to +$3$ is __________
Arjun
28.5k
points
Arjun
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Feb 24, 2017
Probability and Statistics
gateme-2016-set3
numerical-answers
probability-and-statistics
probability
normal-distribution
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–
0
answers
0
votes
GATE2016-2-52
The surface irregularities of electrodes used in an electrochemical machining (ECM) process are $3 \: μm$ and $6 \: μm$ as shown in the figure. If the work-piece is of pure iron and $12V \: DC$ ... $F_e^{+2}$ and the Faraday constant to be $96500$ Coulomb.
The surface irregularities of electrodes used in an electrochemical machining (ECM) process are $3 \: μm$ and $6 \: μm$ as shown in the figure. If the work-piece is of ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set2
numerical-answers
fluid-mechanics
+
–
0
answers
0
votes
GATE2016-2-55
A project consists of $14$ activities, $A$ to $N$. The duration of these activities (in days) are shown in brackets on the network diagram. The latest finish time (in days) for node $10$ is __________
A project consists of $14$ activities, $A$ to $N$. The duration of these activities (in days) are shown in brackets on the network diagram. The latest finish time (in day...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
network-flow-models
+
–
0
answers
0
votes
GATE2016-2-54
A food processing company uses $25,000 \:kg$ ... on an annual basis is $20\%$ of the purchase price of the corn flour per $kg$. The optimal order quantity (in $kg$) is _____________
A food processing company uses $25,000 \:kg$ of corn flour every year. The quantity-discount price of corn flour is provided in the table below:$$\begin{array}{|l|l|} \hl...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
network-flow-models
+
–
0
answers
0
votes
GATE2016-2-51
For a certain job,the cost of metal cutting is $Rs$. $18C/V$ and the cost of tooling is $Rs$. $270C/(TV)$,where $C$ is a constant,$V$ is the cutting speed in $m/min$ and $T$ is the tool life in minutes.The Taylor's tool life equation is $VT^{0.25}$-$150$.The cutting speed (in $m/min$) for the minimum tool cost is
For a certain job,the cost of metal cutting is $Rs$. $18C/V$ and the cost of tooling is $Rs$. $270C/(TV)$,where $C$ is a constant,$V$ is the cutting speed in $m/min$ and ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
+
–
0
answers
0
votes
GATE2016-2-50
The Voltage-length characteristics of a direct current arc in an arc welding process is $V=(100+40l)$ ,where $l$ is the length of arc in $mm$ and $V$ is arc voltages in volts.during a welding process,the arc length varies between $1$ and $2 \: mm$ and welding current is in range $200-250 \: A$.Assuming a linear power source,the short circuit current is_____$A$
The Voltage-length characteristics of a direct current arc in an arc welding process is $V=(100+40l)$ ,where $l$ is the length of arc in $mm$ and $V$ is arc voltages in v...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
+
–
0
answers
0
votes
GATE2016-2-49
Gray cast iron blocks of size $100mm\times 50mm\times 10mm$ with a central spherical cavity of diameter $4 \:mm$ are sand cast.The shrinkage allowance for the pattern is $3\%$.The ratio of the volume of the pattern to the volume of casting is
Gray cast iron blocks of size $100mm\times 50mm\times 10mm$ with a central spherical cavity of diameter $4 \:mm$ are sand cast.The shrinkage allowance for the pattern is...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
+
–
0
answers
0
votes
GATE2016-2-44
A piston-cylinder device initially contains $0.4 \: m^3$ of air (to be treated as an ideal gas) at $100 \: kPa$ and $80^ \circ C$. The air is now isothermally compressed to $0.1 \: m^3$. The work done during this process is ________ $kJ$.
A piston-cylinder device initially contains $0.4 \: m^3$ of air (to be treated as an ideal gas) at $100 \: kPa$ and $80^ \circ C$. The air is now isothermally compressed ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set2
numerical-answers
fluid-mechanics
ic-engines
+
–
0
answers
0
votes
GATE2016-2-39
The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that $45$ percent of its volume is in oil while the rest is in water. The density of the body is _________ $kg/m^3$. The specific gravity of oil is $0.7$ and density of water is $1000$ $kg/m^3$. Acceleration due to gravity $g$ = $10$ $m/s^2$.
The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that $45$ percent of its volume is in oil while th...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set2
numerical-answers
fluid-mechanics
+
–
0
answers
0
votes
GATE2016-2-47
The partial pressure of the water vapour in a moist air sample of relative humidity $70\%$ is $1.6 \: kPa$,the total pressure being $101.35 \: kPa$ ... where $p_o=101.325 \: kPa$. The dry bulb temperature of the moist air sample (in $_{}^{\circ}\textrm{C}$) is
The partial pressure of the water vapour in a moist air sample of relative humidity $70\%$ is $1.6 \: kPa$,the total pressure being $101.35 \: kPa$.moist air may be treat...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applications
gateme-2016-set2
numerical-answers
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
+
–
0
answers
0
votes
GATE2016-2-46
A refrigerator uses $R-134a$ as its refrigerant and operates on an ideal vapour-compression refrigeration cycle between $0.14 \: MPa$ and $0.8 \: MPa$.if the mass flow rate of refrigerant is $0.05 \: kg/s$,the rate of heat rejection to the environment is_______$kW$ ... $\text{At } P=0.8 \: MPa, \: h=93.42 \: kJ/kg, \: \text{ (saturated liquid) }$
A refrigerator uses $R-134a$ as its refrigerant and operates on an ideal vapour-compression refrigeration cycle between $0.14 \: MPa$ and $0.8 \: MPa$.if the mass flow ra...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applications
gateme-2016-set2
numerical-answers
fluid-mechanics-and-thermal-science
applications
refrigeration-and-air-conditioning
+
–
0
answers
0
votes
GATE2016-2-45
A reversible cycle receives $40 \: kJ$ of heat from one heat source at a temperature of $127^ \circ C$ and $37 \: kJ$ from another heat source at $97^ \circ C$. The heat rejected (in $kJ$) to the heat sink at $47^ \circ C$ is __________
A reversible cycle receives $40 \: kJ$ of heat from one heat source at a temperature of $127^ \circ C$ and $37 \: kJ$ from another heat source at $97^ \circ C$. The heat ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set2
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2016-2-43
Two cylindrical shafts $A$ and $B$ at the same initial temperature are simultaneously placed in a furnace. The surfaces of the shafts remain at the furnace gas temperature at all times after they are introduced into the furnace. The temperature variation in the axial ... required (in hours) for the centerline of the shaft B to attain the temperature of $400^ \circ C$ is _______ .
Two cylindrical shafts $A$ and $B$ at the same initial temperature are simultaneously placed in a furnace. The surfaces of the shafts remain at the furnace gas temperatur...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set2
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2016-2-42
Consider a parallel-flow heat exchanger with area $A_p$ and a counter-flow heat exchanger with area $A_c$ . In both the heat exchangers, the hot stream flowing at $1 \: kg/s$ cools from $80^\circ C$ to $50^\circ C$. For the cold stream ... exchangers are of the same fluid. Also, both the heat exchangers have the same overall heat transfer coefficient. The ratio $A_c/A_p$ is _________
Consider a parallel-flow heat exchanger with area $A_p$ and a counter-flow heat exchanger with area $A_c$ . In both the heat exchangers, the hot stream flowing at $1 \: k...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set2
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
heat-exchanger
+
–
0
answers
0
votes
GATE2016-2-40
Consider fluid flow between two infinite horizontal plates which are parallel (the gap between them being $50 \: mm$). The top plate is sliding parallel to the stationary bottom plate at a speed of $3\: m/s$. The flow between the plates is solely due to the motion of the top plate. The ... $N/m^2$. Viscosity of the fluid $μ = 0.44 \:kg/m-s$ and density $\rho = 888 \: kg/m^3$.
Consider fluid flow between two infinite horizontal plates which are parallel (the gap between them being $50 \: mm$). The top plate is sliding parallel to the stationary...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set2
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2016-2-29
The error in numerically computing the integral $\int_{0}^{\pi }(\sin x+\cos x)dx$ using the trapezoidal rule with three intervals of equal length between $0$ and $\pi$ is ___________
The error in numerically computing the integral $\int_{0}^{\pi }(\sin x+\cos x)dx$ using the trapezoidal rule with three intervals of equal length between $0$ and $\pi$ i...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set2
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
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–
0
answers
0
votes
GATE2016-2-28
The probability that a screw manufactured by a company is defective is $0.1$. The company sells screws in packets containing $5$ screws and gives a guarantee of replacement if one or more screws in the packet are found to be defective. The probability that a packet would have to be replaced is _________
The probability that a screw manufactured by a company is defective is $0.1$. The company sells screws in packets containing $5$ screws and gives a guarantee of replaceme...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2016-set2
numerical-answers
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE2016-2-26
A scalar potential $\varphi$ has the following gradient: $\bigtriangledown \varphi =yz\hat{i}+xz\hat{j}+xy\hat{k}$ . Consider the integral $\int_{c}^{ }\bigtriangledown \varphi .d\overrightarrow{r}$ on the curve $\overrightarrow{r}=x\hat{i}+y\hat{j}+z\hat{k}$. The curve $C$ ... . The value of the integral is ________
A scalar potential $\varphi$ has the following gradient: $\bigtriangledown \varphi =yz\hat{i}+xz\hat{j}+xy\hat{k}$ . Consider the integral $\int_{c}^{ }\bigtriangledown \...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set2
numerical-answers
calculus
integrals
vector-identities
+
–
0
answers
0
votes
GATE2016-2-37
The system shown in the figure consists of block A of mass $5$ $kg$ connected to a spring through a massless rope passing over pulley B of radius $r$ and mass $20$ $kg$. The spring constant $k$ is $1500$ $N/m$. If there is no slipping of the rope over the pulley, the natural frequency of the system is_____________ $rad/s$.
The system shown in the figure consists of block A of mass $5$ $kg$ connected to a spring through a massless rope passing over pulley B of radius $r$ and mass $20$ $kg$. ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
numerical-answers
applied-mechanics-and-design
machine-design
springs
+
–
0
answers
0
votes
GATE2016-2-36
The rod $AB$, of length $1$ $m$, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along $QP$ and $QR$. If the velocity $VA$ of the slider at $A$ is $2$ $m/s$, the velocity of the midpoint of the rod at this instant is ___________ $m/s$.
The rod $AB$, of length $1$ $m$, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along $QP$ and $QR$. If the velocity $VA$...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
numerical-answers
applied-mechanics-and-design
machine-design
sliding-contact-bearings
+
–
0
answers
0
votes
GATE2016-2-35
A circular metallic rod of length $250 \: mm$ is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left side and there is a gap of $0.2 \: mm$ between the rod and the wall on the right side. If the ... material of the rod is $200 \: GPa$ and the coefficient of thermal expansion is $10^{−5}$ per $_{}^{\circ}\textrm{C}$.
A circular metallic rod of length $250 \: mm$ is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set2
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2016-2-34
In the figure, the load $P=1 \: N$, length $L=1 \: m$, Young’s modulus $E=70 \: GPa$, and the cross-section of the links is a square with dimension $10 \: mm \times 10 \: mm$. All joints are pin joints. The stress (in $Pa$) in the link $AB$ is ___________ (Indicate compressive stress by a negative sign and tensile stress by a positive sign.)
In the figure, the load $P=1 \: N$, length $L=1 \: m$, Young’s modulus $E=70 \: GPa$, and the cross-section of the links is a square with dimension $10 \: mm \times 10 ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-2-30
A mass of $2000$ $kg$ is currently being lowered at a velocity of $2$ $m/s$ from the drum as shown in the figure. The mass moment of inertia of the drum is $150$ $kg$-$m^2$. On applying the brake, the mass is brought to rest in a distance of $0.5$ $m$. The energy absorbed by the brake (in $kJ$) is __________
A mass of $2000$ $kg$ is currently being lowered at a velocity of $2$ $m/s$ from the drum as shown in the figure. The mass moment of inertia of the drum is $150$ $kg$-$m^...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
numerical-answers
applied-mechanics-and-design
machine-design
breaks
+
–
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