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A thin plank of mass m is kept on two rollers such that the centre...

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A thin plank of mass m is kept on two rollers such that the centre of mass of the plank is midway between the points of contact with the rollers Friction is sufficient everywhere to prevent slipping A force F whose magnitude can be varied is applied parallel to the plank as shown in figure A System cannot remain in equilibrium if F is greater than mg sin B Friction on the plank on both contact points is always directed towards F if the system is in equilibrium C Direction of friction on roller at points C and D is towards right if the system is in equilibrium If the centres of the rollers are clamped to the surfaces below it so that they cannot show translational

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