In the figure, a sphere of radius 2 m rolls on a plank. The accelerations of the sphere and the plank are indicated. The value of α is

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2rad/s2

4rad/s2

3rad/s2

1rad/s2

answer is C.

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Detailed Solution

As sphere rolls, the lowest point of the sphere should have the same acceleration as the plank. Hence, a1=αR−a22=2α−4 ⇒ α=3rad/s2

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