# GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering: Questions 163 - 167 of 170

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## Question 163

Rigid Bodies in Plane Motion Including Impulse and Momentum

Appeared in Year: 2015

### Question

A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point is in the horizontal direction, the magnitude of velocity of point is ________

## Question 164

Rigid Bodies in Plane Motion Including Impulse and Momentum

Appeared in Year: 2013

### Question

MCQ▾

A single degree of freedom system having mass and stiffness initially at rest is subjected to an impulse force of magnitude for seconds. The amplitude in mm of the resulting free vibration is

### Choices

Choice (4)Response

a.

5.0

b.

10.0

c.

0.5

d.

## Question 165

Appeared in Year: 2018

### Question

MCQ▾

A bar of uniform cross section and weighing is held horizontally using two massless and inextensible strings and as shown in the figure.

### Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

and

## Question 166

Rigid Bodies in Plane Motion Including Impulse and Momentum

Appeared in Year: 2014

### Question

MCQ▾

A mass of travelling with a uniform velocity of along a line collides with a stationary mass of . After the collision, both the masses travel together with the same velocity. The coefficient of restitution is

### Choices

Choice (4)Response

a.

0.01

b.

0.1

c.

0.6

d.

0

## Question 167

Kinematics and Dynamics of Particles

Appeared in Year: 2011

### Question

MCQ▾

A stone with mass of is catapulted as shown in the figure. The total force exerted by the rubber band as a function of distance is given by . If the stone is displaced by from the un-stretched position of the rubber band, the energy stored in the rubber band is

### Choices

Choice (4)Response

a.

b.

c.

d.

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