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A sphere is spinning about a diameter and its angular momentum is varying with time according to the graph shown in figure. If moment of inertia of the sphere is 2 Kg-m², its maximum angular acceleration is

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4 rad/s2

2 rad/s2

zero

0.5 rad/s2

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detailed solution

Correct option is B

Since τ=dLdt, no torque is acting on the sphere in the interval t = 2s to t = 4s and torque acting on the sphere in the interval t = 0 to t = 2s = slope of L - t graph⇒τ=82N−m=4 N−m∴ αmax=τI=42rad/s2=2 rad/s2

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