A small block of mass \(m\) is kept at the left end of a larger block of mass \(M\) and length \(l\) . The system is started towards right with an initial velocity \(v\) . The friction coefficient between the road and the bigger block is \(k\) and that between the blocks is \(k/2\) . Find the time elapsed before the smaller block separates from the bigger block?

I am having hard time solving this , can somebody please help ,if possible with an FBD.

Thanks!

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## Comments

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TopNewest@Deeparaj Bhat can you please tell how did you come to know that the smaller block would move on the bigger block just by considering M>m ?

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@Deeparaj Bhat Please help!!!!

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On the smaller block, the friction is towards the left (assuming the velpcity is towards the right).

On the bigger block, the friction at the contact surface of the smaller block is towards right (Newton's third law) and the friction at the ground surface is towards left.

Hope this helps!

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So, will the smaller block move the total length of bigger block and then fall or it will just slip towards the left after some time interval?

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For the block with mass \(m\), net horizontal force (opposite to direction of \(v\)) is \(mg\dfrac{k}{2}\).

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