A disc of the radius R is spun to an angular speed ω 0 about its axis and then imparted a horizontal velocity of magnitude (at t = 0 ) with its plane remaining vertical. The coefficient of friction be

Question

A disc of the radius R is spun to an angular speed ω 0 about its axis and then imparted a horizontal velocity of magnitude (at t = 0 ) with its plane remaining vertical. The coefficient of friction between the disc and the plane is μ . The sense of rotation and direction of its linear speed are shown in the figure. Choose the correct statement.

TestHub · Accepted Answer

Angular acceleration α = - μ m g r m r 2 2 = - 2 μ g r Time taken to stop rotation t 1 = ω 0 α = ω 0 r 2 μ g Linear acceleration a = - μ g Time taken to stop translation t 2 = V 0 μ g = ω 0 r 4 μ g t 2 < t 1 Hence disc will return to initial point

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