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A disk of mass m and radius 2r sits on a table with coefficient of static friction us and is attached to a rope

  

A disk of mass m and radius 2r sits on a table with coefficient of static friction us and is attached to a rope at its centre. The rope passes over a pulley of mass m and radius r and is connected to a mass m. The system starts from rest. Inertia of a disk of radius r around its centre of mass is lem = mr?. Disk mass = m Pulley radius= 2r mass = m radius = r m (a) Draw free body diagrams for the disk, the pulley, and the mass. (b) Describe in words what will happen to the disk, the pulley and the mass. Clearly indicate the direction (clockwise or anti-clockwise) of any rotations. (c) What is the acceleration of the mass? Express your answer in terms of g only. (d) Now assume the table is frictionless. What is the acceleration of the mass? Express your answer in terms of g only.

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