A circular disc with a groove along its diameter is placed horizontally. A block of mass 1 kg is placed as shown. The coefficient of friction between the block and all surfaces of the groove in contac

Question

A circular disc with a groove along its diameter is placed horizontally. A block of mass 1 kg is placed as shown. The coefficient of friction between the block and all surfaces of the groove in contact is $μ = 2/5$ . The disc has an acceleration of $25 m / s^{2}$ . Find the acceleration of the block with respect to the disc. Take angle $θ$ is 37 degree.

TestHub · Accepted Answer

ma cos 37 − μ ma sin 37 − μ mg = ma 0 ​ 25 × 5 4 ​ − 5 2 ​ × 25 × 5 3 ​ − 5 2 ​ × 10 = a 0 ​ 20 − 6 − 4 = 90 a 0 ​ = 10 m / s 2 Note: There will be two friction from two contact surfaces, first with sides and other at bottom contact

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