A uniform solid sphere of mass M. = 6 kg and radius R = 5 cm can rotate about a vertical axis on frictionless bearings,

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A Uniform Solid Sphere Of Mass M 6 Kg And Radius R 5 Cm Can Rotate About A Vertical Axis On Frictionless Bearings 1 (38.11 KiB) Viewed 13 times

A uniform solid sphere of mass M. = 6 kg and radius R = 5 cm can rotate about a vertical axis on frictionless bearings, as shown in Figure B2. A cord, wraps around the centre of the sphere, over a pulley with mass My = 4 kg and radius Rx = 3 cm, is attached to a small block of mass m=0.2 kg. The cord does not slip on the pulley and the pulley can be treated as a uniform disk. Ms мр "L Figure B2 (a) Express rotational kinetic energy of the sphere and that of the pulley in terms of translational speed of the block, v. (8 marks) (b) Determine rotational speed of the sphere, rotational speed of the pulley, and translational speed of the block when the block has fallen 1 m from rest. (6 marks) (c) State THREE assumptions made in the calculation of part (b). (6 marks)