Hot questions in Applied Mechanics and Design / GO Mechanical

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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 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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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

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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 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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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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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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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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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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GATE Mechanical 2014 Set 3 | Question: 32
Consider a simply supported beam of length, $50h$, with a rectangular cross-section of depth, $h$, and width, $2h$. The beam carries a vertical point load, P, at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is $0.02$ $0.10$ $0.05$ $0.01$

Consider a simply supported beam of length, $50h$, with a rectangular cross-section of depth, $h$, and width, $2h$. The beam carries a vertical point load, P, at its mid-...

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GATE Mechanical 2014 Set 3 | Question: 33
The damping ratio of a single degree of freedom spring-mass-damper system with mass of $1 kg$, stiffness $100 N/m$ and viscous damping coefficient of $25 N.s/m$ is _______

The damping ratio of a single degree of freedom spring-mass-damper system with mass of $1 kg$, stiffness $100 N/m$ and viscous damping coefficient of $25 N.s/m$ is ______...

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GATE Mechanical 2014 Set 2 | Question: 36
A truck accelerates up a $10^0$ incline with a crate of $100$ $kg$. Value of static coefficient of friction between the crate and the truck surface is $0.3$. The maximum value of acceleration (in $m$/$s^2$) of the truck such that the crate does not slide down is _______

A truck accelerates up a $10^0$ incline with a crate of $100$ $kg$. Value of static coefficient of friction between the crate and the truck surface is $0.3$. The maximum ...

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GATE Mechanical 2014 Set 4 | Question: 10
A point mass is executing simple harmonic motion with an amplitude of $10$ $mm$ and frequency of $4$ $Hz$. The maximum acceleration ($m/s^2$) of the mass is _______

A point mass is executing simple harmonic motion with an amplitude of $10$ $mm$ and frequency of $4$ $Hz$. The maximum acceleration ($m/s^2$) of the mass is _______

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GATE Mechanical 2014 Set 3 | Question: 12
Consider a long cylindrical tube of inner and outer radii, $r_i$ and $r_o$ , respectively, length, $L$ and thermal conductivity, $k$. Its inner and outer surfaces are maintained at $T_i$ and $T_o$ , respectively ( $T_i > T_o$ ). Assuming one-dimensional steady ... $\dfrac{1}{4\pi kL}\ln \bigg (\dfrac{r_o}{r_i} \bigg )$

Consider a long cylindrical tube of inner and outer radii, $r_i$ and $r_o$ , respectively, length, $L$ and thermal conductivity, $k$. Its inner and outer surfaces are mai...

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GATE Mechanical 2014 Set 3 | Question: 8
Consider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to the exciting force is $0$ $45$ $90$ $135$

Consider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to...

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GATE Mechanical 2014 Set 3 | Question: 7
Two solid circular shafts of radii $R_1$ and $R_2$ are subjected to same torque. The maximum shear stresses developed in the two shafts are $\tau _1$ and $\tau _2$. If $R_1$/ $R_2$=$2$, then $\tau _2/\tau _1$ is _______

Two solid circular shafts of radii $R_1$ and $R_2$ are subjected to same torque. The maximum shearstresses developed in the two shafts are $\tau _1$ and $\tau _2$. If $R_...

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GATE Mechanical 2014 Set 2 | Question: 55
A rectangular hole of size $100$ $mm \times 50$ $mm$ is to be made on a $5$ $mm$ thick sheet of steel having ultimate tensile strength and shear strength of $500$ $MPa$ and $300$ $MPa$, respectively. The hole is made by punching process. Neglecting the effect of clearance, the punching force (in $kN$) is $300$ $450$ $600$ $750$

A rectangular hole of size $100$ $mm \times 50$ $mm$ is to be made on a $5$ $mm$ thick sheet of steel having ultimate tensile strength and shear strength of $500$ $MPa$ a...

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GATE Mechanical 2014 Set 1 | Question: 6
A circular rod of length $'L'$ and area of cross-section $ A'$ has a modulus of elasticity $ E'$ and coefficient of thermal expansion $ \alpha'$. One end of the rod is fixed and other end is free. If the temperature of the rod ... is $ \alpha \Delta T$ stress developed in the rod is $E \alpha \Delta T$ and strain developed in the rod is zero

A circular rod of length $'L'$ and area of cross-section $‘A’$ has a modulus of elasticity $‘E'$ and coefficient of thermal expansion $‘\alpha’$. One end of the...

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GATE Mechanical 2014 Set 1 | Question: 30
The state of stress at a point is given by $\sigma _x=-6 MPa$ ,$\sigma _y=4 MPa$ and $\tau _{xy}=-8 MPa$.The maximum tensile stress in (MPa) at the point is _____

The state of stress at a point is given by $\sigma _x=-6 MPa$ ,$\sigma _y=4 MPa$ and $\tau _{xy}=-8 MPa$.The maximum tensile stress in (MPa) at the point is _____

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GATE Mechanical 2014 Set 1 | Question: 11
A rigid link $PQ$ is $2$ $m$ long and oriented at $20^\circ$ to the horizontal as shown in the figure. The magnitude and direction of velocity $V_Q$, and the direction of velocity $V_P$ are given. the magnitude of $V_P$ (in $m/s$) a t this instant is $V_Q$=$1 m/s $ $2.14$ $1.89$ $1.21$ $0.96$

A rigid link $PQ$ is $2$ $m$ long and oriented at $20^\circ$ to the horizontal as shown in the figure. The magnitude and direction of velocity $V_Q$, and the direction of...

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GATE Mechanical 2014 Set 3 | Question: 11
Gear $2$ rotates at $1200$ $rpm$ in counter clockwise direction and engages with Gear $3$. Gear $3$ and Gear $4$ are mounted on the same shaft. Gear $5$ engages with Gear $4$. The numbers of teeth on Gears $2$, $3$, $4$ ... angular speed of Gear $5$ is $300$ $rpm$ counterclockwise $300$ $rpm$ clockwise $4800$ $rpm$ counterclockwise $4800$ $rpm$ clockwise

Gear $2$ rotates at $1200$ $rpm$ in counter clockwise direction and engages with Gear $3$. Gear $3$ and Gear $4$ are mounted on the same shaft. Gear $5$ engages with Gear...

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GATE Mechanical 2014 Set 1 | Question: 53
For the given assembly: $25 \: H7/g8$, match Group $A$ with Group $B$ ... $P-I, Q-IV, R-III, S-II$ $P-II, Q-III, R-IV, S-I$ $P-II, Q-IV, R-III, S-I$

For the given assembly: $25 \: H7/g8$, match Group $A$ with Group $B$$$\begin{array}{|c|l|c|l|} \hline & \textbf{Group A} & & \textbf{Group B} \\ \hline P. & \text{H} & I...

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GATE Mechanical 2014 Set 3 | Question: 10
Which one of following is NOT correct? Intermediate principal stress is ignored when applying the maximum principal stress theory The maximum shear stress theory gives the most accurate results amongst all the failure theories As per ... the maximum distortion energy theory, failure occurs when the distortion energy per unit volume exceeds a critical value

Which one of following is NOT correct?Intermediate principal stress is ignored when applying the maximum principal stress theoryThe maximum shear stress theory gives the ...

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GATE Mechanical 2014 Set 2 | Question: 24
The relationship between true strain ($\epsilon _T$) and engineering strain ($\epsilon _E$) in a uniaxial tension test is given as $\epsilon _E=ln(1+\epsilon _T)$ $\epsilon _E=ln(1-\epsilon _T)$ $\epsilon _T=ln(1+\epsilon _E)$ $\epsilon _T=ln(1-\epsilon _E)$

The relationship between true strain ($\epsilon _T$) and engineering strain ($\epsilon _E$) in a uniaxial tension test is given as$\epsilon _E=ln(1+\epsilon _T)$$\epsilon...

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