In the track shown in figure, section AB is a quadrant of a circle of 1 metre radius in vertical plane. A block is released at A and slides without friction until it reaches at B. After B it moves on

Question

In the track shown in figure, section AB is a quadrant of a circle of 1 metre radius in vertical plane. A block is released at A and slides without friction until it reaches at B. After B it moves on a rough horizontal floor and comes to rest at D , 3 metres from B . The coefficient of friction between floor and the body will be

TestHub · Accepted Answer

Frictionless from A to B, so the block reaches B with 2 1 ​ m v 2 = m g R . On the rough floor it stops in 3 m: m g R = μ m g × 3 ⇒ μ = 3 R ​ = 3 1 ​ Ans. (A)

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