Rotational MotionHard

Question

A thin uniform rod, pivoted at O, is rotating in the horizontal plane withconstant angular speed ω as shown in the figure. At time t = 0, a smallinsect starts from O and moves with constant speed v, with respect to therod towards the other end. It reaches the end of the rod at t = T and stops.The angular speed of the system remains ω throughout. The magnitude ofthe torque (||) about O, as a function of time is best represented by whichplot?
               

Options

A.
B.
C.
D.

Solution

(C mv2t2)
mωv2 2t.

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