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Recent questions and answers in Theory of Machines
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answer
0
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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).
Jamir
answered
in
Theory of Machines
Feb 20, 2019
by
Jamir
140
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
theory-of-machines
dynamic-analysis-of-linkages
0
answers
0
votes
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 $2V_R$ $2V_P$ $V_R/\sqrt{3}$ $V_P/\sqrt{3}$
Arjun
asked
in
Theory of Machines
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE2019 ME-1: 19
A block of mass $10$ kg rests on a horizontal floor. The acceleration due to gravity is $9.81 \: m/s^2$. The coefficient of static friction between the floor and the block is $0.2$. A horizontal force of $10$ N is applied on the block as shown in the figure. The magnitude of force of friction (in N) on the block is _____
Arjun
asked
in
Theory of Machines
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
numerical-answers
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
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 ... $R_f=R_r = \dfrac{W}{2}+\dfrac{W}{g} \bigg( \dfrac{h}{l} \bigg) a$
Arjun
asked
in
Theory of Machines
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE ME 2012 | Question: 9
A solid disc of radius $r$ rolls without slipping on a horizontal floor with angular velocity $\omega$ and angular acceleration $\alpha$. The magnitude of the acceleration of the point of contract on the disc is $zero$ $r \alpha$ $\sqrt{(r \alpha)^2 + (r \omega^2)^2}$ $r \omega^2$
Andrijana3306
asked
in
Theory of Machines
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
theory-of-machines
velocity-and-acceleration-analysis
applied-mechanics-and-design
0
answers
0
votes
GATE ME 2012 | Question: 8
The following are the data for the two crossed helical gears used for speed reduction: Gear I: Pitch circle diameter in the plane of rotation $80$ mm and helix angle $30^{\circ}$ Gear II: Pitch circle diameter in the plane of rotation $120$ mm and helix angle $22.5^{\circ}$ If the input speed is $1440$ rpm, the output speed in rpm is $1200$ $900$ $875$ $720$
Andrijana3306
asked
in
Theory of Machines
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
applied
mechanics-and-design
theory-of-machines
0
answers
0
votes
GATE2018-2-32
In a cam-follower, the follower rises by $h$ as the cam rotates by $\delta$ (radians) at constant angular velocity $\omega$ (radians/s). The follower is uniformly accelerating during the first half of the rise period and it is uniformly decelerating in the latter half of the rise period ... is $\dfrac{4h \omega}{\delta} \\$ $h \omega \\$ $\dfrac{2h \omega}{\delta} \\$ $2h \omega$
Arjun
asked
in
Theory of Machines
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set2
0
answers
0
votes
GATE2018-1-41
A slider crank mechanism is shown in the figure. At some instant, the crank angle is 45$^{\circ}$ and force of $40$ N is acting towards the left on the slider. The length of the crank is $30$ mm and the connecting rod is $70$ mm. ... inertial forces, the magnitude of the crankshaft torque (in Nm) needed to keep the mechanism in equilibrium is ______ (correct to two decimal places)
Arjun
asked
in
Theory of Machines
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
numerical-answers
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE2017 ME-1: 41
Two disks $A$ and $B$ with identical mass $(m)$ and radius $(R)$ are initially at rest. They roll down from the top of identical inclined planes without slipping. Disk $A$ has all of its mass concentrated at the rim, while Disk $B$ has its mass uniformly distributed. At the bottom of the ... centre of disk $B$ is $\sqrt{\dfrac{3}{4}} \\$ $\sqrt{\dfrac{3}{2}} \\$ $1 \\$ $\sqrt{2}$
Arjun
asked
in
Theory of Machines
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set1
theory-of-machines
applications
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 $g = 10 \: m/s^2$.
Arjun
asked
in
Theory of Machines
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set3
numerical-answers
theory-of-machines
applied-mechanics-and-design
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 __________
Arjun
asked
in
Theory of Machines
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set3
numerical-answers
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE2016-1-10
A car is moving on a curved horizontal road of radius $100$ $m$ with a speed of $20$ $m/s$. The rotating masses of the engine have an angular speed of $100$ $rad/s$ in clockwise direction when viewed from the front of the car. The combined moment of inertia of the rotating masses is $10$ $kg$-$m^2$. The magnitude of the gyroscopic moment (in $N$-$m$) is __________
Arjun
asked
in
Theory of Machines
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
numerical-answers
gyroscope
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE2016-1-7
A point mass $M$ is released from rest and slides down a spherical bowl (of radius $R$) from a height $H$ as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of the mass at the bottom of the bowl is $\sqrt{gH}$ $\sqrt{2gR}$ $\sqrt{2gH}$ $0$
Arjun
asked
in
Theory of Machines
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE2015-3-29
The number of degrees of freedom of the linkage shown in the figure is -$3$ $0$ $1$ $2$
Arjun
asked
in
Theory of Machines
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set3
dynamic-analysis-of-linkages
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE2015-2-9
The number of degrees of freedom of the planetary gear train shown in the figure is $0$ $1$ $2$ $3$
Arjun
asked
in
Theory of Machines
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set2
gears-and-gear-trains
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
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 _______
Arjun
asked
in
Theory of Machines
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set4
numerical-answers
flywheels-and-governors
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
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 ... $x(t)$= $\dfrac{1}{2}$+$\cos t$ , $y(t)=\sin t$
Arjun
asked
in
Theory of Machines
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set3
applied-mechanics-and-design
machine-design
0
answers
0
votes
GATE ME 2013 | Question: 6
A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of $0.75$ $m$/$s$ with respect to the rod, as shown in the figure below. If $OA$ = $1$ $m$, the magnitude of the absolute acceleration of the block at location $A$ in $m$/$s^2$ is $3$ $4$ $5$ $6$
piyag476
asked
in
Theory of Machines
Feb 19, 2017
by
piyag476
1.4k
points
gateme-2013
velocity-and-acceleration-analysis
theory-of-machines
applied-mechanics-and-design
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