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ESE ME: Engineering Mechanics Champion Quiz 3

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Question 1

A rigid body shown in the Fig.A. has a mass of 10 kg. It rotates with a uniform angular velocity ‘ $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image166.png$ ’. A balancing mass of 20 kg is attached as shown in Fig. B. . The percentage increase in mass moment of inertia as a result of this addition is
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image167.jpg$ $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image168.png$

Question 2

The value of moment of inertia of the section shown in the figure about the axis-XX is

Question 3

In a collision of two balls with another ball of the same mass, initially stationary, then after the collision, the two balls will move off at right angles to each other. If the initial velocity was 1 m/s then find the final velocity.

Question 4

Bodies 1 and 2 shown in the figure have equal mass m. All surfaces are smooth. The value of force P required to prevent sliding of body 2 on body 1 is

Question 5

The area moment of inertia of a square of size 1 unit about its diagonal is

Question 6

A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity ω and angular acceleration

. The magnitude of the acceleration of the point of contact on the disc is

Question 7

A truss consists of horizontal members (AC, CD, DB and EF) and vertical members (CE and DE) having length 1 each. The members AE, DE and BF are inclined at 45 ° to the horizontal. For the uniformly distributed load ‘p’ per unit length on the member EF of the truss shown in figure given below, the force in the member CD is

$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME-28-Mar\GATE-ME-2003_files\image161.jpg$

Question 8

What is the most appropriate method for analysis of a skeletal plane frame shown in the figure below?

Question 9

A simple plane truss acted upon by a load 2P at the apex A is shown below. The axizl force in the member AB is

Question 10

A shell is fired from a cannon. At the instant the shell is just about to leave the barrel, its velocity relative to the barrel is 3m/s, while the barrel is swinging upwards with a constant angular velocity of 2 rad/sec. The magnitude of the absolute velocity of the shell is

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ESE & GATE ME Engineering Mechanics

Feb 4ESE & GATE ME