Q14 of 21 Page 109

Two blocks A and B of masses 5kg and 3kg respectively rest on a smooth horizontal surface with B over A. The co-efficient of friction between A and B is 0.5 .The maximum horizontal force that can be applied to A so that there will be motion of A and B without relative slipping is?

mass of A = mA = 5 kg

mass of B = mB= 3 kg



coefficient of friction between A and B = μ = 0.5


To find: maximum horizontal force so that in motion of A and B there is no relative slipping


We know static friction (fs) is a self adjusting force, having a maximum value μ N






Free body diagram of B









If both A and B move together they have same acceleration


Maximum acceleration that can be produced without slipping = amax





If force is applied




Hence, The maximum horizontal force that can be applied to A so that there will be motion on of A and B without relative slipping is 53.9 N


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