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A small block of mass m is kept atthe left end of a larger block ofmass M and length Lwhich is on a horizontal surfacesuch that the system can slide.Thesystem is startedtowards right with an initial velocityv.The friction coefficient betweenthe surface and thelarger block is x and the frictioncoefficient between the blocks isx/2.Find the time elapsedbefore the smaller block separatesfrom the bigger block.(sir pleaseshow the steps in details)
Let a1 and a2 be the accelerations of ma and M respectively.Here, a1 > a2 so that m moves on Mit would be easiest if we see this in relative frame of Msee in relative framerelative distance to be covered is l wrt to Mso we find a rel to M =a1-a2and 1/2 a*t^2 = land for the force lower body M will have two force friction from the box below =-k(M+m)gand fromt the upper body -k/2(mg)a2=-(kmg-2kMg)/2Ma1=-k/2gtake the difference-kg(M+m)/2Mnow apply the kinematics formulae
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