Advanced Problem 11

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Santosh Sir IITK (Apex Physics)

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Published on April 13, 2025 10:15:42 AM ● Video Link: https://www.youtube.com/watch?v=ZNCpondKF_E

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In the adjacent figure, a uniform plank of mass m and length L = 1 m is lying at rest on a smooth horizontal surface. Two horizontal forces F1 = F + kx and F2 = F - kx are applied at the ends A and B respectively in the opposite directions, where x is the distance moved by the centre of mass of the plank from initial position O. An insect of mass m/2 sits on plank at and A gently and starts moving with constant velocity 2 m per second with respect to plank towards B. Find the speed of the plank when its centre of mass has more by a distance l / 2. Given k/m =32/3