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A small block of mass m is kept at the left end of a larger block of mass M and length L.The system can slide on a horizontal road.The system is started towards right with an initial velocity v.The friction coeffecient between the road and the bigger block is x and that between the two blocks is x/2.Find the time elapsed before the smaller block separate from the bigger block.

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6 years ago

## Answers : (1)

Arun Kumar
IIT Delhi
256 Points
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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 frame

relative distance to be covered is l wrt to Mso we find a rel to M =a1-a2and 1/2 a*t^2 = l

and 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)/2M

now apply the kinematics formulae

Thanks & RegardsArun KumarBtech, IIT DelhiAskiitians Faculty

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6 years ago
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• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions