Most viewed questions in Applied Mechanics and Design / GO Mechanical

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GATE Mechanical 2014 Set 4 | Question: 4
A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution with a mean of $Rs.$ $500$ and a standard deviation of $Rs$. $50$. The percentage of savings account holders, who maintain an average daily balance more than $Rs$. $500$ is _______

A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution with a mean of $Rs.$ $500$ and a standard deviation o...

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GATE Mechanical 2014 Set 3 | Question: 31
A body of mass (M) $10$ $kg$ is initially stationary on a $45^{\circ}$ inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is $0.5$. The body slides down the plane and attains a velocity of $20 m/s$. The distance traveled (in meter) by the body along the plane is _______

A body of mass (M) $10$ $kg$ is initially stationary on a $45^{\circ}$ inclined plane as shown in figure. The coefficient of dynamic friction between the body and the pla...

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GATE Mechanical 2014 Set 1 | Question: 55
An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using sand core (density $1600$ $kg$/$m^3$). The net buoyancy force (in newton) acting on the core is _______

An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using san...

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GATE2017 ME-2: 21
The crystal structure of aluminium is. body-centered cubic. face-centered cubic. close-packed hexagonal. body-centered tetragonal.

The crystal structure of aluminium is.body-centered cubic.face-centered cubic.close-packed hexagonal.body-centered tetragonal.

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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...

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GATE2016-2-10
A single degree of freedom mass-spring-viscous damper system with mass $m$, spring constant $k$ and viscous damping coefficient $q$ is critically damped. The correct relation among $m$, $k$, and $q$ is $q=\sqrt{2km} \\$ $q=2\sqrt{km} \\$ $q=\sqrt{\dfrac{2k}{m}} \\$ $q=2\sqrt{\dfrac{k}{m}}$

A single degree of freedom mass-spring-viscous damper system with mass $m$, spring constant $k$ and viscous damping coefficient $q$ is critically damped. The correct rela...

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GATE2016-1-35
A slider crank mechanism with crank radius $200\:mm$ and connecting rod length $800\:mm$ is shown. The crank is rotating at $600\:rpm$ in the counterclockwise direction. In the configuration shown, the crank makes an angle of $90^\circ$ with the sliding ... $kN-m$) is __________

A slider crank mechanism with crank radius $200\:mm$ and connecting rod length $800\:mm$ is shown. The crank is rotating at $600\:rpm$ in the counterclockwise direction. ...

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GATE2016-1-30
A block of mass $m$ rests on an inclined plane and is attached by a string to the wall as shown in the figure. The coefficient of static friction between the plane and the block is $0.25$. The string can withstand a maximum force of $20$ $N$. The maximum value ... equilibrium is ____________ $kg$. Take $cos\theta$ and $sin \theta$ Acceleration due to gravity $g$ = $10$ $m$/$s^2$

A block of mass $m$ rests on an inclined plane and is attached by a string to the wall as shown in the figure. The coefficient of static friction between the plane and th...

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GATE2015-1-44
A cantilever beam with flexural rigidity of $200$ $N.m^2$ is loaded as shown in the figure. The deflection (in $mm$) at the tip of the beam is _______

A cantilever beam with flexural rigidity of $200$ $N.m^2$ is loaded as shown in the figure. The deflection (in $mm$) at the tip of the beam is _______

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GATE2015-3-30
For ball bearings, the fatigue life $L$ measured in number of revolutions and the radial load $F$ are related by $FL^{1/3} = K$, where $K$ is a constant. It withstands a radial load of $2$ $kN$ for a life of $540$ million revolutions. The load (in $kN$) for a life of one million revolutions is ________

For ball bearings, the fatigue life $L$ measured in number of revolutions and the radial load $F$ are related by $FL^{1/3} = K$, where $K$ is a constant. It withstands a ...

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GATE Mechanical 2014 Set 3 | Question: 37
A four-wheel vehicle of mass $1000 \: kg$ moves uniformly in a straight line with the wheels revolving at $10 \: rad/s$. The wheels are identical, each with a radius of $0.2 \: m$. Then a constant braking torque is applied to all the ... a uniform deceleration. For the vehicle to stop in $10 \: s$, the braking torque (in $N.m$) on each wheel is______

A four-wheel vehicle of mass $1000 \: kg$ moves uniformly in a straight line with the wheels revolving at $10 \: rad/s$. The wheels are identical, each with a radius of $...

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GATE Mechanical 2014 Set 2 | Question: 19
A component can be produced by any of the four processes $I$, $II$, $III$ and $IV$. The fixed cost and the variable cost for each of the processes are listed below. The most economical process for producing a batch of $100$ ... $I$ $II$ $III$ $IV$

A component can be produced by any of the four processes $I$, $II$, $III$ and $IV$. The fixed cost and the variable cost for each of the processes are listed below. The m...

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GATE Mechanical 2014 Set 2 | Question: 6
A steel cube, with all faces free to deform, has Young's modulus, $E$, Poisson's ratio, $ν$, and coefficient of thermal expansion, $\alpha$. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, $\Delta T$, ... $-\dfrac{\alpha (\Delta T)E}{1-2V} \\$ $\dfrac{\alpha (\Delta T)E}{3(1-2V)}$

A steel cube, with all faces free to deform, has Young’s modulus, $E$, Poisson’s ratio, $ν$, and coefficient of thermal expansion, $\alpha$. The pressure (hydrostati...

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GATE Mechanical 2014 Set 3 | Question: 24
The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table. ... $P-3, Q-4, R-1, S-5,T-2, U-6$ $P-4, Q-1, R-5, S-2,T-3, U-6$

The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table.$\begin{array}{|l|l|}\hline \textb...

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GATE2020-ME-1: 8
A four bar mechanism is shown below. For the mechanism to be a crank-rocker mechanism, the length of the link $PQ$ can be $80\: mm$ $200\: mm$ $300\: mm$ $350\: mm$

A four bar mechanism is shown below. For the mechanism to be a crank-rocker mechanism, the length of the link $PQ$ can be$80\: mm$$200\: mm$$300\: mm$$350\: mm$

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GATE2018-1-32
A self-aligning ball bearing has a basic dynamic load rating $(C_{10}$, for $10^6$ revolutions) of $35$ kN. If the equivalent radial load on the bearing is $45$ kN, the expected life (in $10^6$ revolutions) is below $0.5$ $0.5$ to $0.8$ $0.8$ to $1.0$ above $1.0$

A self-aligning ball bearing has a basic dynamic load rating $(C_{10}$, for $10^6$ revolutions) of $35$ kN. If the equivalent radial load on the bearing is $45$ kN, the e...

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Arjun asked Feb 17, 2018

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GATE2016-3-6
A force F is acting on a bent bar which is clamped at one end as shown in the figure. The CORRECT free body diagram is

A force F is acting on a bent bar which is clamped at one end as shown in the figure.The CORRECT free body diagram is

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GATE2016-2-31
A system of particles in motion has mass center $G$ as shown in the figure. The particle $i$ has mass $m_i$ and its position with respect to a fixed point $O$ is given by the position vector $r_i$. The position of the particle with respect to $G$ ... $\sum _i\rho _i\times m_i\ddot{r_i}$ $\sum _ir _i\times m_i\ddot{r_i}$ $\sum _i\rho _i\times m_i\ddot{\rho _i}$

A system of particles in motion has mass center $G$ as shown in the figure. The particle $i$ has mass $m_i$ and its position with respect to a fixed point $O$ is given by...

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GATE Mechanical 2014 Set 4 | Question: 8
Which one of the following is used to convert a rotational motion into a translational motion? Bevel gears Double helical gears Worm gears Rack and pinion gears

Which one of the following is used to convert a rotational motion into a translational motion?Bevel gearsDouble helical gearsWorm gearsRack and pinion gears

Arjun

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GATE2020-ME-1: 28
Bars of square and circular cross-section with $0.5\: m$ length are made of a material with shear strength of $20\: MPa$. The square bar cross-section dimension is $4\:cm \times$ $4\:cm$ and the cylindrical bar cross- ... the applied load as per maximum shear stress theory? Tensile and compressive load specimens Torsional load specimen Bending load specimen None of the specimens

Bars of square and circular cross-section with $0.5\: m$ length are made of a material with shear strength of $20\: MPa$. The square bar cross-section dimension is $4\:cm...

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GATE2016-1-9
A cantilever beam having square cross-section of side $a$ is subjected to an end load. If $a$ is increased by $19\%$, the tip deflection decreases approximately by $19\%$ $29\%$ $41\%$ $50\%$

A cantilever beam having square cross-section of side $a$ is subjected to an end load. If $a$ is increased by $19\%$, the tip deflection decreases approximately by$19\%$$...

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GATE Mechanical 2014 Set 4 | Question: 7
If the Poisson's ratio of an elastic material is $0.4$, the ratio of modulus of rigidity to Young's modulus is _______

If the Poisson's ratio of an elastic material is $0.4$, the ratio of modulus of rigidity to Young's modulus is _______

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GATE Mechanical 2014 Set 1 | Question: 7
A metallic rod of $500$ $mm$ length and $50$ $mm$ diameter, when subjected to a tensile force of $100$ $kN$ at the ends, experiences a n increase in its length by $0.5$ $mm$ and a reduction in its diameter by $0.015$ $mm$. The Poisson’s ratio of the rod material is _______

A metallic rod of $500$ $mm$ length and $50$ $mm$ diameter, when subjected to a tensile force of $100$ $kN$ at the ends, experiences a n increase in its length by $0.5$ $...

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GATE ME 2013 | Question: 32
A compound gear train with gears $P$, $Q$, $R$ and $S$ has number of teeth $20$, $40$, $15$ and $20$, respectively. Gears $Q$ and $R$ are mounted on the same shaft as shown in the figure below. The diameter of the gear $Q$ is twice that of the gear $R$. ... module of the gear $R$ is $2$ $mm$, the center distance in $mm$ between gears $P$ and $S$ is $40$ $80$ $120$ $160$

A compound gear train with gears $P$, $Q$, $R$ and $S$ has number of teeth $20$, $40$, $15$ and $20$, respectively. Gears $Q$ and $R$ are mounted on the same shaft as sho...

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GATE ME 2013 | Question: 39
A single degree of freedom system having mass $1$ $kg$ and stiffness $10$ $kN/m$ initially at rest is subjected to an impulse force of magnitude $5$ $kN$ for $10^{-4}$ seconds. The amplitude in $mm$ of the resulting free vibration is $0.5$ $1.0$ $5.0$ $10.0$

A single degree of freedom system having mass $1$ $kg$ and stiffness $10$ $kN/m$ initially at rest is subjected to an impulse force of magnitude $5$ $kN$ for $10^{-4}$ se...

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GATE2015-2-35
In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of $14$ $rad/s$ and the crank length is $300$ $mm$, the maximum acceleration of the slider (in $m$/$s^2$) is ___________

In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of $14$ $rad/s$ and the crank length...

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GATE2015-2-8
A gas is stored in a cylindrical tank of inner radius $7$ $m$ and wall thickness $50$ $mm$. The gage pressure of the gas is $2$ $MPa$. The maximum shear stress (in $MPa$) in the wall is $35$ $70$ $140$ $280$

A gas is stored in a cylindrical tank of inner radius $7$ $m$ and wall thickness $50$ $mm$. The gage pressure of the gas is $2$ $MPa$. The maximum shear stress (in $MPa$)...

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GATE Mechanical 2014 Set 2 | Question: 40
A spur pinion of pitch diameter $50$ $mm$ rotates at $200$ $rad/s$ and transmits $3 kW$ power. The pressure angle of the tooth of the pinion is $20^\circ$. Assuming that only one pair of the teeth is in contact, the total force (in newton) exerted by a tooth of the pinion on the tooth on a mating gear is _______

A spur pinion of pitch diameter $50$ $mm$ rotates at $200$ $rad/s$ and transmits $3 kW$ power. The pressure angle of the tooth of the pinion is $20^\circ$. Assuming that ...

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GATE2016-3-20
Engineering strain of a mild steel sample is recorded as $0.100\%$. The true strain is $0.010\%$ $0.055\%$ $0.099\%$ $0.101\%$

Engineering strain of a mild steel sample is recorded as $0.100\%$. The true strain is$0.010\%$$0.055\%$$0.099\%$$0.101\%$

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GATE Mechanical 2014 Set 4 | Question: 31
A thin gas cylinder with an internal radius of $100$ $mm$ is subject to an internal pressure of $10$ $MPa$. The maximum permissible working stress is restricted to $100$ $MPa$. The minimum cylinder wall thickness (in $mm$) for safe design must be _______

A thin gas cylinder with an internal radius of $100$ $mm$ is subject to an internal pressure of $10$ $MPa$. The maximum permissible working stress is restricted to $100$ ...

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GATE2017 ME-2: 22
Given the atomic weight of Fe is $56$ and that of $C$ is $12$, the weight percentage of carbon in cementite $(Fe_{3}C)$ is _________.

Given the atomic weight of Fe is $56$ and that of $C$ is $12$, the weight percentage of carbon in cementite $(Fe_{3}C)$ is _________.

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GATE2017 ME-1: 21
In a metal forming operation when the material has just started yielding. the principal stresses are $\sigma_{1}=+180 MPa, \sigma_{2}=-100 MPa, \sigma_{3}=0$. Following von Mises' criterion, the yield stress is _________ MPa.

In a metal forming operation when the material has just started yielding. the principal stresses are $\sigma_{1}=+180 MPa, \sigma_{2}=-100 MPa, \sigma_{3}=0$. Following v...

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GATE2015-3-17
A cylindrical tank with closed ends is filled with compressed air at a pressure of $500$ $kPa$. The inner radius of the tank is $2$ $m$, and it has wall thickness of $10$ $mm$. The magnitude of maximum in-plane shear stress (in $MPa$) is ________

A cylindrical tank with closed ends is filled with compressed air at a pressure of $500$ $kPa$. The inner radius of the tank is $2$ $m$, and it has wall thickness of $10$...

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GATE Mechanical 2014 Set 3 | Question: 6
A rotating steel shaft is supported at the ends. It is subjected to a point load at the center. The maximum bending stress developed is $100$ $MPa$. If the yield, ultimate and corrected endurance strength of the shaft material are $300$ $MPa$, $500$ $MPa$ and $200$ $MPa$, respectively, then the factor of safety for the shaft is _______

A rotating steel shaft is supported at the ends. It is subjected to a point load at the center. The maximum bending stress developed is $100$ $MPa$. If the yield, ultimat...

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GATE Mechanical 2014 Set 3 | Question: 9
A mass $m_1$ of $100$ $kg$ traveling with a uniform velocity of $5$ $m/s$ along a line collides with a stationary mass $m_2$ of $1000$ $kg$. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is $0.6$ $0.1$ $0.01$ $0$

A mass $m_1$ of $100$ $kg$ traveling with a uniform velocity of $5$ $m/s$ along a line collides with a stationary mass $m_2$ of $1000$ $kg$. After the collision, both the...

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GATE2017 ME-1: 20
Cylindrical pins of diameter $15^{\pm0.020}$ mm are being produced on a machine. Statistical quality control tests show a mean of $14.995$ mm and standard deviation of $0.004$ mm. The process capability index $Cp$ is $0.833$ $1.667$ $3.333$ $3.750$

Cylindrical pins of diameter $15^{\pm0.020}$ mm are being produced on a machine. Statistical quality control tests show a mean of $14.995$ mm and standard deviation of $0...

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GATE Mechanical 2014 Set 4 | Question: 11
Ball bearings are rated by a manufacturer for a life of $10^6$ revolutions. The catalogue rating of a particular bearing is $16$ $kN$. If the design load is $2$ $kN$, the life of the bearing will be $p\times 10^6$ revolutions, where $p$ is equal to _______

Ball bearings are rated by a manufacturer for a life of $10^6$ revolutions. The catalogue rating of a particular bearing is $16$ $kN$. If the design load is $2$ $kN$, the...

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GATE Mechanical 2014 Set 2 | Question: 10
In a structure subjected to fatigue loading, the minimum and maximum stresses developed in a cycle are $200$ $MPa$ and $400$ $MPa$ respectively. The value of stress amplitude (in $MPa$) is _______

In a structure subjected to fatigue loading, the minimum and maximum stresses developed in a cycle are $200$ $MPa$ and $400$ $MPa$ respectively. The value of stress ampli...

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GATE2017 ME-2: 7
The state of stress at a point is $\sigma _{x}=\sigma _{y}=\sigma _{z}=\tau _{xz}=\tau _{zx}=\tau _{yz}=\tau _{zy}=0$ and $\tau _{xy}=\tau _{yx}=50$ MPa. The maximum normal stress (in MPa) at that point is ________.

The state of stress at a point is $\sigma _{x}=\sigma _{y}=\sigma _{z}=\tau _{xz}=\tau _{zx}=\tau _{yz}=\tau _{zy}=0$ and $\tau _{xy}=\tau _{yx}=50$ MPa. The maximum norm...

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GATE2016-2-12
For the brake shown in the figure, which one of the following is TRUE? Self energizing for clockwise rotation of the drum Self energizing for anti-clockwise rotation of the drum Self energizing for rotation in either direction of the drum Not of the self energizing type

For the brake shown in the figure, which one of the following is TRUE?Self energizing for clockwise rotation of the drumSelf energizing for anti-clockwise rotation of the...

Arjun

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Arjun asked Feb 24, 2017