Most viewed questions in Applied Mechanics and Design / GO Mechanical

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GATE2019 ME-1: 38
A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of $10 \: kN$ is applied at point D. The magnitude of force (in kN) in the member BC is __________

A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of $10 \: kN$ is applied at point D. The magnitude of force (in kN) in the m...

Arjun

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Arjun asked Feb 9, 2019

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GATE2019 ME-2: 39
A four bar mechanism is shown in the figure. The link numbers are mentioned near the links. Input link $2$ is rotating anticlockwise with a constant angular speed $\omega_2$. Length of different links are: $O_2 O_4=O_2A=L,$$AB=O_4B=\sqrt{2}L$ The magnitude of ... $O_2O_4$ as shown. The ratio $\frac{\omega_4}{\omega_2}$ is _________ (round off to two decimal places).

A four bar mechanism is shown in the figure. The link numbers are mentioned near the links. Input link $2$ is rotating anticlockwise with a constant angular speed $\omega...

Arjun

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Arjun asked Feb 9, 2019

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GATE Mechanical 2014 Set 3 | Question: 36
Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by $t$, lying in the interval $0$ to $2 \pi$, is associated with the maximum translation of the follower during one full rotation of the cam rotating ... $x(t)$= $\dfrac{1}{2}$+$\cos t$ , $y(t)=\sin t$

Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by $t$, lying in the interval $0$ ...

Arjun

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Arjun asked Feb 19, 2017

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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...

Arjun

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GATE2019 ME-2: 36
The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity $\omega$, as shown. Assume the length of the crank to be $r$. Using exact analysis, the acceleration of the slider in the $y$-direction, at the instant shown, where the crank is parallel to $x$-axis, is given by $- \omega ^2r$ $2 \omega ^2r$ $\omega ^2r$ $-2 \omega ^2r$

The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity $\omega$, as shown. Assume the length of the crank to be $r$.Using ...

Arjun

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GATE2015-3-46
For the overhanging beam shown in figure, the magnitude of maximum bending moment (in $kN$-$m$) is ________

For the overhanging beam shown in figure, the magnitude of maximum bending moment (in $kN$-$m$) is ________

Arjun

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Arjun asked Feb 24, 2017

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GATE2020-ME-1: 31
A rigid mass-less rod of length $L$ is connected to a disc (pulley) of mass $m$ and radius $r = L/4$ through a friction-less revolute joint. The other end of that rod is attached to a wall through a friction-less hinge. A spring of stiffness $2k$ is attached to the rod at its mid-span ... $\sqrt{3}\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{k}{m}}$

A rigid mass-less rod of length $L$ is connected to a disc (pulley) of mass $m$ and radius $r = L/4$ through a friction-less revolute joint. The other end of that rod is ...

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GATE2019 ME-2: 31
A prismatic, straight, elastic, cantilever beam is subjected to a linearly distributed transverse load as shown below. If the beam length is $L$, Young’s modulus $E$, and area moment of inertia $I$, the magnitude of the maximum deflection is $\dfrac{qL^4}{15EI} \\$ $\dfrac{qL^4}{30EI} \\$ $\dfrac{qL^4}{10EI} \\$ $\dfrac{qL^4}{60EI}$

A prismatic, straight, elastic, cantilever beam is subjected to a linearly distributed transverse load as shown below. If the beam length is $L$, Young’s modulus $E$, a...

Arjun

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GATE2018-2-25
A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved portion), the total distance travelled (in $m$) by the ball is _____ (correct to two decimal places)

A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring t...

Arjun

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Arjun asked Feb 17, 2018

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GATE Mechanical 2014 Set 1 | Question: 25
In solid-state welding, the contamination layers between the surfaces to be welded are removed by alcohol plastic deformation water jet sand blasting

In solid-state welding, the contamination layers between the surfaces to be welded are removed byalcoholplastic deformationwater jetsand blasting

Arjun

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GATE2019 ME-1: 29
A car having weight $W$ is moving in the direction as shown in the figure. The center of gravity (CG) of the car is located at height $h$ from the ground, midway between the front and rear wheels. The distance between front and rear wheel is $l$. The acceleration of the car is $a$, and ... $R_f=R_r = \dfrac{W}{2}+\dfrac{W}{g} \bigg( \dfrac{h}{l} \bigg) a$

A car having weight $W$ is moving in the direction as shown in the figure. The center of gravity (CG) of the car is located at height $h$ from the ground, midway between ...

Arjun

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GATE2019 ME-1: 25
Consider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from $O$. Upon loading, the stress-strain curve passes through initial yield point at $P$, and then ... specimen is reloaded in tension from point $R$, the value of stress at which the material yields again is _______ MPa.

Consider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from $O$. U...

Arjun

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GATE2019 ME-2: 30
Consider two concentric circular cylinders of different materials $M$ and $N$ in contact with each other at $r=b$, as shown below. The interface at $r=b$ is frictionless. The composite cylinder is subjected to internal pressure $P$. Let $(u_r^M, u_{\theta}^M)$ ... $\sigma_{rr}^M = \sigma_{rr}^N \text{ and } \sigma_{\theta \theta}^M = \sigma_{\theta \theta}^N$

Consider two concentric circular cylinders of different materials $M$ and $N$ in contact with each other at $r=b$, as shown below. The interface at $r=b$ is frictionless....

Arjun

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GATE2019 ME-2: 8
Endurance limit of a beam subjected to pure bending decreases with decrease in the surface roughness and decrease in the size of the beam increase in the surface roughness and decrease in the size of the beam increase in the surface roughness and increase in the size of the beam decrease in the surface roughness and increase in the size of the beam

Endurance limit of a beam subjected to pure bending decreases withdecrease in the surface roughness and decrease in the size of the beamincrease in the surface roughness ...

Arjun

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GATE2017 ME-1: 13
The Poisson's ratio for a perfectly incompressible linear elastic material is $1$ $0.5$ $0$ Infinity

The Poisson's ratio for a perfectly incompressible linear elastic material is$1$$0.5$$0$Infinity

Arjun

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Arjun asked Feb 26, 2017

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GATE2015-3-28
Figure shows a single degree of freedom system. The system consists of a massless rigid bar $OP$ hinged at $O$ and a mass $m$ at end $P$. The natural frequency of vibration of the system is $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{k}{4m}}} \\$ ... $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{2k}{m}}}$

Figure shows a single degree of freedom system. The system consists of a massless rigid bar $OP$ hinged at $O$ and a mass $m$ at end $P$. The natural frequency of vibrati...

Arjun

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Arjun asked Feb 24, 2017

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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...

Arjun

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Arjun asked Feb 24, 2017

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GATE2019 ME-2: 20
The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N

The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N

Arjun

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Arjun asked Feb 9, 2019

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GATE2018-2-29
In a rigid body in plane motion, the point R is accelerating with respect to point P at $10 \angle 180^{\circ} \: m/s^2$. If the instantaneous acceleration of point $Q$ is zero, the acceleration (in $m/s^2$) of point $R$ is $8 \angle 233^{\circ}$ $10 \angle 225^{\circ}$ $10 \angle 217^{\circ}$ $8 \angle 217^{\circ}$

In a rigid body in plane motion, the point R is accelerating with respect to point P at $10 \angle 180^{\circ} \: m/s^2$. If the instantaneous acceleration of point $Q$ i...

Arjun

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Arjun asked Feb 17, 2018

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GATE Mechanical 2014 Set 1 | Question: 37
An offset slider-crank mechanism is shown in the figure at an instant. Conventionally, the Quick Return Ratio (QRR) is considered to be greater than one. The value of QRR is _______

An offset slider-crank mechanism is shown in the figure at an instant. Conventionally, the Quick Return Ratio (QRR) is considered to be greater than one. The value of QRR...

Arjun

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Arjun asked Feb 19, 2017

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GATE2019 ME-1: 41
In a UTM experiment, a sample of length $100 \: mm$, was loaded in tension until failure. The failure load was $40 \: kN$. The displacement, measured using the cross-head motion, at failure, was $15 \: mm$. The compliance of the UTM is constant and is given $5 \times 10^{-8} \: m/N$. The strain at failure in the sample is ______$\%$

In a UTM experiment, a sample of length $100 \: mm$, was loaded in tension until failure. The failure load was $40 \: kN$. The displacement, measured using the cross-head...

Arjun

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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, ($\sigma$ =...

Arjun

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Arjun asked Feb 24, 2017

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GATE2019 ME-1: 5
A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity $\omega$. At time $t=0$, the vertical position of the follower is $y(0)=0$, and the system is in the configuration shown below: The vertical position of the follower face, $(y(t)$ is given by $e \sin \omega t$ $e(1+ \cos 2 \omega t)$ $e(1- \cos \omega t)$ $e \sin 2 \omega t$

A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity $\omega$. At time $t=0$, the vertical position of the follower is $...

Arjun

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Arjun asked Feb 9, 2019

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GATE Mechanical 2014 Set 2 | Question: 33
Consider a flywheel whose mass $M$ is distributed almost equally between a heavy, ring-like rim of radius $R$ and a concentric disk-like feature of radius $R/2$. Other parts of the flywheel, such as spokes, etc, have negligible mass. The best ... for $α$, if the moment of inertia of the flywheel about its axis of rotation is expressed as $αMR^2$, is _______

Consider a flywheel whose mass $M$ is distributed almost equally between a heavy, ring-like rim of radius $R$ and a concentric disk-like feature of radius $R/2$. Other pa...

Arjun

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Arjun asked Feb 19, 2017

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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 $8$...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 38
Consider the two states of stress as shown in configurations I and II in the figure below. From the standpoint of distortion energy (von-Mises) criterion, which one of the following statements is true? $I$ yields after $II$ $II$ yields after $I$ Both yield simultaneously Nothing can be said about their relative yielding

Consider the two states of stress as shown in configurations I and II in the figure below. From the standpoint of distortion energy (von-Mises) criterion, which one of th...

Arjun

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GATE2016-1-37
A solid disc with radius $a$ is connected to a spring at a point $d$ above the center of the disc. The other end of the spring is fixed to the vertical wall. The disc is free to roll without slipping on the ground. The mass of the disc is $M$ and the spring constant is $K$. The ... $\displaystyle{\sqrt{\frac{2K(a+d)^2}{Ma^2}}} \\$ $\displaystyle{\sqrt{\frac{K(a+d)^2}{Ma^2}}}$

A solid disc with radius $a$ is connected to a spring at a point $d$ above the center of the disc. The other end of the spring is fixed to the vertical wall. The disc is ...

Arjun

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Arjun asked Feb 24, 2017

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GATE2017 ME-2: 50
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is $-0.5$ $-0.69$ $-0.75$ $-1.0$

A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tens...

Arjun

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Arjun asked Feb 26, 2017

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GATE2020-ME-2: 9
The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, is electrochemical machining electrical discharge machining ultrasonic machining abrasive jet machining

The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, iselectrochemical machiningelectrical discharge machiningultrason...

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go_editor asked Sep 18, 2020

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GATE2015-2-31
A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of $10$ $kN$ is applied at the mid-point of PQ. The magnitude of bending moment (in $kN$-$m$) at fixed end O is $2.5$ $5$ $10$ $25$

A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of $10$ $kN$ is applied at the mid-point of PQ. The magnitude of bend...

Arjun

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GATE2019 ME-2: 32
A slender uniform rigid bar of mass $m$ is hinged at $O$ and supported by two springs, with stiffness, $3k$ and $k$ and a damper with damping coefficient $c$, as shown in the figure. For the system to be critically damped, the ratio $c/\sqrt{km}$ should be $2$ $4$ $2 \sqrt{7}$ $4 \sqrt{7}$

A slender uniform rigid bar of mass $m$ is hinged at $O$ and supported by two springs, with stiffness, $3k$ and $k$ and a damper with damping coefficient $c$, as shown in...

Arjun

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GATE2019 ME-1: 20
A cylindrical rod of diameter $10$ mm and length $0.1$m fixed at one end. The other end is twisted by an angle of $10^{\circ}$ by applying a torque. If the maximum shear strain in the rod is $p \times 10^{-3}$, then $p$ is equal to ____ (round off to two decimal places).

A cylindrical rod of diameter $10$ mm and length $0.1$m fixed at one end. The other end is twisted by an angle of $10^{\circ}$ by applying a torque. If the maximum shear ...

Arjun

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GATE2019 ME-2: 41
A uniform disc with radius $r$ and a mass $m$ kg is mounted centrally on a horizontal axle of negligible mass and length of $1.5r$. The disc spins counter-clockwise about the axle with angular speed $\omega$, when viewed from the right-hand side bearing, ... $g=10 m/s^2$, the ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is ______

A uniform disc with radius $r$ and a mass $m$ kg is mounted centrally on a horizontal axle of negligible mass and length of $1.5r$. The disc spins counter-clockwise about...

Arjun

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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

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Arjun asked Feb 24, 2017

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GATE2020-ME-1: 41
The magnitude of reaction force at joint $C$ of the hinge-beam shown in the figure is __________$kN$ (round off to $2$ decimal places).

The magnitude of reaction force at joint $C$ of the hinge-beam shown in the figure is __________$kN$ (round off to $2$ decimal places).

go_editor

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GATE2019 ME-2: 5
A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the body moves such that velocities of points P and R are $V_P$ and $V_R$, in the $x$ and $y$ directions, respectively. The magnitude of the angular velocity of the body is $2V_R$ $2V_P$ $V_R/\sqrt{3}$ $V_P/\sqrt{3}$

A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the body moves ...

Arjun

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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

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GATE2020-ME-1: 9
A helical gear with $20^{\circ}$ pressure angle and $30^{\circ}$ helix angle mounted at the mid-span of a shaft that is supported between two bearings at the ends. The nature of the stresses induced in the shaft is normal stress due to bending ... in two planes and axial loading; shear stress due to torsion normal stress due to bending in two planes; shear stress due to torsion

A helical gear with $20^{\circ}$ pressure angle and $30^{\circ}$ helix angle mounted at the mid-span of a shaft that is supported between two bearings at the ends. The na...

go_editor

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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...

Arjun

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GATE ME 2012 | Question: 48
Two steel truss members, AC and BC, each having cross sectional area of $100 mm^2$, are subjected to a horizontal force $F$ as shown in the figure. All the joints are hinged. If $F=1$ kN. the magnitude of the vertical reaction force developed at the point B in kN is $0.63$ $0.32$ $1.26$ $1.46$

Two steel truss members, AC and BC, each having cross sectional area of $100 mm^2$, are subjected to a horizontal force $F$ as shown in the figure. All the joints are hin...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018