Q.

A disc of radius R=12m is rolling on a plank. If the disc is moving on the plank with angular velocity ω=2rad/s and speed vC=2m/s. Find the speed of the plank (in m/s) for pure rolling.

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answer is 3.0.

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Detailed Solution

As disc is rolling, there should not be relative sliding between plank and disc at point of contact.  v→P=v→P′= velocity of plank. v→P=v→P,C+v→C=ωR+vC=2×12+2=3m/s
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