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Question

A plank is moving with a velocity of 4 m/s. A disc of radius 1 m rolls without slipping on it with an angular velocity of 3 rad/s as shown in figure. Find out the velocity of the centre of the disc.


A
3 m/s
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B
4 m/s
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C
7 m/s
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D
11 m/s
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Solution

The correct option is C 7 m/s
Since it is pure rolling, the velocity of the point at the bottom of the disc will be equal to the velocity of plank.
i.e VcmRω=4
Vcm3=4
Vcm=7 m/s

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