To determine the coefficient of friction between a rough surface and a block, the surface is kept inclined at 4 5 ∘ and the block is released from rest. The block takes a time t in moving a distance d

Question

To determine the coefficient of friction between a rough surface and a block, the surface is kept inclined at 4 5 ∘ and the block is released from rest. The block takes a time t in moving a distance d . The rough surface is then replaced by a smooth surface and the same experiment is repeated. The block now takes a time t /2 in moving down the same distance d. The coefficient of friction is

TestHub · Accepted Answer

If the same wedge is made rough then time taken by it to come down becomes n times more. The coefficient of friction μ = [ 1 − n 2 1 ​ ] tan θ ⇒ μ = [ 1 − 2 2 1 ​ ] tan 4 5 ∘ μ = 4 4 − 1 ​ ⇒ μ = 4 3 ​ ​

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