Recent questions tagged applied-mechanics-and-design / GO Mechanical

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GATE2015-2-23
During the development of a product, an entirely new process plan is made based on design logic, examination of geometry and tolerance information. This type of process planning is known as retrieval generative variant group technology based

During the development of a product, an entirely new process plan is made based on design logic, examination of geometry and tolerance information. This type of process p...

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GATE2015-2-22
Which one of the following statements is TRUE? The ‘GO’ gage controls the upper limit of a hole The ‘NO GO’ gage controls the lower limit of a shaft The ‘GO’ gage controls the lower limit of a hole The ‘NO GO’ gage controls the lower limit of a hole

Which one of the following statements is TRUE?The ‘GO’ gage controls the upper limit of a holeThe ‘NO GO’ gage controls the lower limit of a shaftThe ‘GO’ gag...

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GATE2015-2-19
A rope-brake dynamometer attached to the crank shaft of an $I.C$. engine measures a brake power of $10$ $kW$ when the speed of rotation of the shaft is $400$ $rad/s$. The shaft torque (in $N$-$m$) sensed by the dynamometer is ___________

A rope-brake dynamometer attached to the crank shaft of an $I.C$. engine measures a brake power of $10$ $kW$ when the speed of rotation of the shaft is $400$ $rad/s$. The...

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GATE2015-2-11
The uniaxial yield stress of a material is $300$ $MPa$. According to von Mises criterion, the shear yield stress (in $MPa$) of the material is _______

The uniaxial yield stress of a material is $300$ $MPa$. According to von Mises criterion, the shear yield stress (in $MPa$) of the material is _______

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GATE2015-2-10
In a spring-mass system, the mass is m and the spring constant is $k$. The critical damping coefficient of the system is $0.1$ $kg/s$. In another spring-mass system, the mass is $2m$ and the spring constant is $8k$. The critical damping coefficient (in $kg/s$) of this system is ____________

In a spring-mass system, the mass is m and the spring constant is $k$. The critical damping coefficient of the system is $0.1$ $kg/s$. In another spring-mass system, the ...

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GATE2015-2-9
The number of degrees of freedom of the planetary gear train shown in the figure is $0$ $1$ $2$ $3$

The number of degrees of freedom of the planetary gear train shown in the figure is$0$$1$$2$$3$

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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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GATE2015-2-7
A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is $200$ $MPa$, the change in the strain is $0.001$. If the Poisson’s ratio of the rod is $0.3$, the modulus of rigidity (in $GPa$) is ________________

A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is $200$ $MPa$, the change in the strain is $0.001$. If the Poisson’s ...

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GATE2015-2-6
A small ball of mass $1$ $kg$ moving with a velocity of $12$ $m/s$ undergoes a direct central impact with a stationary ball of mass $2$ $kg$. The impact is perfectly elastic. The speed (in $m/s$) of $2$ $kg$ mass ball after the impact will be ____________

A small ball of mass $1$ $kg$ moving with a velocity of $12$ $m/s$ undergoes a direct central impact with a stationary ball of mass $2$ $kg$. The impact is perfectly elas...

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GATE2015-2-5
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0.5$. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ___________

Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0...

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GATE2015-1-52
Air ($\rho$=$1.2 \: kg/m^3$ and kinematic viscosity, $V$ = $2 \times10^{−5}$ $m^2$/$s$) with a velocity of $2$ $m/s$ flows over the top surface of a flat plate of length $2.5$ $m$. If the average value of friction coefficient is $C_f=\dfrac{1.328}{\sqrt{Re_x}}$, the total drag force (in $N$) per unit width of the plate is _______

Air ($\rho$=$1.2 \: kg/m^3$ and kinematic viscosity, $V$ = $2 \times10^{−5}$ $m^2$/$s$) with a velocity of $2$ $m/s$ flows over the top surface of a flat plate of lengt...

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GATE2015-1-51
Temperature of nitrogen in a vessel of volume $2$ $m^3$ is $288$ $K$. A U-tube manometer connected to the vessel shows a reading of $70$ $cm$ of mercury (level higher in the end open to atmosphere). The universal gas constant is $8314$ $J$/$kmol$-$K$, atmospheric ... $m$/$s^2$ and density of mercury is $13600$ $kg$/$m^3$. The mass of nitrogen (in $kg$) in the vessel is _____________

Temperature of nitrogen in a vessel of volume $2$ $m^3$ is $288$ $K$. A U-tube manometer connected to the vessel shows a reading of $70$ $cm$ of mercury (level higher in ...

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GATE2015-1-46
A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in $N$) is _______

A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in $N$) is _...

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GATE2015-1-45
A precision instrument package $(m = 1 \: kg)$ needs to be mounted on a surface vibrating at $60 \: Hz$. It is desired that only $5\%$ of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural ... $N/m$) of the required mounting pad is _____

A precision instrument package $(m = 1 \: kg)$ needs to be mounted on a surface vibrating at $60 \: Hz$. It is desired that only $5\%$ of the base surface vibration ampli...

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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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GATE2015-1-43
A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength of the material is $100$ $MPa$, the factor of safety as per Tresca’s maximum shear stress theory is $1.0$ $2.0$ $2.5$ $3.3$

A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength...

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GATE2015-1-42
A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the mobile and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a ... RPM for which the mobile will get just lifted off the ground at the end $Q$ is approximately $3000$ $3500$ $4000$ $4500$

A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the ...

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GATE2015-1-41
A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body diagrams of pinion and gear showing important forces ($F_1$ and $F_2$) of interaction. Which of the following ... $F_2=I_2\dfrac{1}{r_2}\ddot{\theta _1};$

A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body di...

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GATE2015-1-39
For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively $122.47$ $kN$ and $50$ $kN$ $70.71$ $kN$ and $100$ $kN$ $70.71$ $kN$ and $50$ $kN$ $81.65$ $kN$ and $100$ $kN$

For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively$122.47$ $kN$ and $50$ $kN$$70.71$ $kN$ and $100$ $kN...

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GATE2015-1-38
Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is $\sqrt{\dfrac{400}{1}} \\$ $\sqrt{\dfrac{400}{2}} \\$ $\sqrt{\dfrac{400}{3}} \\$ $\sqrt{\dfrac{400}{4}} $

Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is$\sqrt{\dfrac{400}{1}} \\$$\sqr...

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GATE2015-1-37
In a slab rolling operation, the maximum thickness reduction $(Δℎ_{max}$) is given by $Δ_{max}$ = $\mu^2R$ , where $R$ is the radius of the roll and $\mu$ is the coefficient of friction between the roll and the sheet. If $\mu$ = $0.1$, the maximum angle subtended by the deformation zone at the centre of the roll (bite angle in degrees) is _______

In a slab rolling operation, the maximum thickness reduction $(Δℎ_{max}$) is given by $Δ_{max}$ = $\mu^2R$ , where $R$ is the radius of the roll and $\mu$ is the coef...

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GATE2015-1-20
Which one of the following types of stress-strain relationship best describes the behaviour of brittle materials, such as ceramics and thermosetting plastics, ($\sigma$ = stress and $\varepsilon$ = strain)?

Which one of the following types of stress-strain relationship best describes the behaviour of brittle materials, such as ceramics and thermosetting plastics, ($\sigma$ =...

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GATE2015-1-19
Which one of the following is the most conservative fatigue failure criterion? Soderberg Modified Goodman ASME Elliptic Gerber

Which one of the following is the most conservative fatigue failure criterion?SoderbergModified GoodmanASME EllipticGerber

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GATE2015-1-17
Consider a steel (Young’s modulus $E$ = $200 \: GPa$) column hinged on both sides. Its height is $1.0 \: m$ and cross-section is $10 \: mm \times 20$ $mm$. The lowest Euler critical buckling load (in $N$) is __________

Consider a steel (Young’s modulus $E$ = $200 \: GPa$) column hinged on both sides. Its height is $1.0 \: m$ and cross-section is $10 \: mm \times 20$ $mm$. The lowest E...

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GATE2015-1-16
Two identical trusses support a load of $100$ $N$ as shown in the figure. The length of each truss is $1.0$ $m$; cross-sectional area is $200$ $mm^2$; Young’s modulus $E$ = $200$ $GPa$. The force in the truss $AB$ (in $N$) is _________

Two identical trusses support a load of $100$ $N$ as shown in the figure. The length of each truss is $1.0$ $m$; cross-sectional area is $200$ $mm^2$; Young’s modulus $...

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GATE2015-1-15
Consider a stepped shaft subjected to a twisting moment applied at $B$ as shown in the figure. Assume shear modulus, $G$ = $77$ $GPa$. The angle of twist at $C$ (in degrees) is __________

Consider a stepped shaft subjected to a twisting moment applied at $B$ as shown in the figure. Assume shear modulus, $G$ = $77$ $GPa$. The angle of twist at $C$ (in degre...

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GATE2015-1-14
Consider a slider crank mechanism with nonzero masses and inertia. A constant torque $\tau$ is applied on the crank as shown in the figure. Which of the following plots best resembles variation of crank angle, $\theta$ versus time

Consider a slider crank mechanism with nonzero masses and inertia. A constant torque $\tau$ is applied on the crank as shown in the figure. Which of the following plots b...

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GATE Mechanical 2014 Set 4 | Question: 55
A butt weld joint is developed on steel plates having yield and ultimate tensile strength of $500$ $MPa$ and $700$ $MPa$, respectively. The thickness of the plates is $8$ $mm$ and width is $20$ $mm$. Improper selection of ... $mm$ depth along the weld. The maximum transverse tensile load (in $kN$) carrying capacity of the developed weld joint is _______

A butt weld joint is developed on steel plates having yield and ultimate tensile strength of $500$ $MPa$ and $700$ $MPa$, respectively. The thickness of the plates is $8$...

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GATE Mechanical 2014 Set 4 | Question: 40
A ladder AB of length $5$ $m$ and weight $(W)$ $600$ $N$ is resting against a wall. Assuming frictionless contact at the floor $(B)$ and the wall $(A)$, the magnitude of the force $P$ (in newton) required to maintain equilibrium of the ladder is _______

A ladder AB of length $5$ $m$ and weight $(W)$ $600$ $N$ is resting against a wall. Assuming frictionless contact at the floor $(B)$ and the wall $(A)$, the magnitude of ...

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GATE Mechanical 2014 Set 4 | Question: 39
A single degree of freedom system has a mass of $2$ $kg$, stiffness $8$ $N/m$ and viscous damping ratio $0.02$. The dynamic magnification factor at an excitation frequency of $1.5$ $rad/s$ is _______

A single degree of freedom system has a mass of $2$ $kg$, stiffness $8$ $N/m$ and viscous damping ratio $0.02$. The dynamic magnification factor at an excitation frequenc...

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GATE Mechanical 2014 Set 4 | Question: 38
Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______

Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______

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GATE Mechanical 2014 Set 4 | Question: 37
A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$-$Y$ axis, stands on a rough level floor as shown in the figure. A force $P$ ... and the wardrobe, respectively? $490.5$ and $0.5$ $981$ and $0.5$ $1000.5$ and $0.15$ $1000.5$ and $0.25$

A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$-$Y$ axis, stands on a rough level floor as shown in the figure. A forc...

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GATE Mechanical 2014 Set 4 | Question: 36
A frame is subjected to a load $P$ as shown in the figure. The frame has a constant flexural rigidity $EI$. The effect of axial load is neglected. The deflection at point $A$ due to the applied load $P$ is $\dfrac{1}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{2}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{PL^3}{EI} \\$ $\dfrac{4}{3}\dfrac{PL^3}{EI}$

A frame is subjected to a load $P$ as shown in the figure. The frame has a constant flexural rigidity $EI$. The effect of axial load is neglected. The deflection at point...

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GATE Mechanical 2014 Set 4 | Question: 35
A bolt of major diameter $12$ $mm$ is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is $84.3$ $mm^2$. The length of the threaded portion in grip is $30$ $mm$, while the length of ... Young's modulus of material is $200$ $GPa$. The effective stiffness (in $MN/m$) of the bolt in the clamped zone is_______

A bolt of major diameter $12$ $mm$ is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is $84.3$ $mm^2$. The length of the thr...

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GATE Mechanical 2014 Set 4 | Question: 34
A uniform slender rod ($8$ $m$ length and $3$ $kg$ mass) rotates in a vertical plane about a horizontal axis $1$ $m$ from its end as shown in the figure. The magnitude of the angular acceleration (in $rad/s^2$) of the rod at the position shown is _______

A uniform slender rod ($8$ $m$ length and $3$ $kg$ mass) rotates in a vertical plane about a horizontal axis $1$ $m$ from its end as shown in the figure. The magnitude of...

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GATE Mechanical 2014 Set 4 | Question: 33
It is desired to avoid interference in a pair of spur gears having a $20^{\circ}$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion increases decreases first increases and then decreases remains unchanged

It is desired to avoid interference in a pair of spur gears having a $20^{\circ}$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth...

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GATE Mechanical 2014 Set 4 | Question: 32
For the truss shown in the figure, the forces $F_1$ and $F_2$ are $9$ $kN$ and $3$ $kN$, respectively. The force (in $kN$) in the member QS is $11.25$ tension $11.25$ compression $13.5$ tension $13.5$ compression

For the truss shown in the figure, the forces $F_1$ and $F_2$ are $9$ $kN$ and $3$ $kN$, respectively. The force (in $kN$) in the member QS is$11.25$ tension$11.25$ compr...

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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 4 | Question: 30
A shaft is subjected to pure torsional moment. The maximum shear stress developed in the shaft is $100$ $MPa$. The yield and ultimate strengths of the shaft material in tension are $300$ $MPa$ and $450$ $MPa$, respectively. The factor of safety using maximum distortion energy (von-Mises) theory is _______

A shaft is subjected to pure torsional moment. The maximum shear stress developed in the shaft is $100$ $MPa$. The yield and ultimate strengths of the shaft material in t...

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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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