A block is placed in a groove made in the turntable having frictionless wall at 4cm from the centre of a turntable which is at rest. The block fits tightly in the groove and is free to move in the gro

Question

A block is placed in a groove made in the turntable having frictionless wall at 4cm from the centre of a turntable which is at rest. The block fits tightly in the groove and is free to move in the groove. The turntable is steadily accelerated at $2.5 rad s^{- 2}$ as shown in figure. Coefficient of friction between the floor of groove and block is 0.1. The time (in second) at which the particle is about to slip is :-

turntable groove

TestHub · Accepted Answer

Slipping starts when m ω 2 r = μ m g , i.e. ω = r μg ​ ​ . With ω = α t : t = α 1 ​ r μg ​ ​ = 2.5 1 ​ 0.04 0.1 × 10 ​ ​ . So t = 2.5 5 ​ = 2 s .

Physics - Circular Motion Question with Solution | TestHub

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