a A uniform solid sphere of mass Ms = 6 kg and radius Rs = 5 cm can rotate about a vertical axis on frictionless bearing

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A A Uniform Solid Sphere Of Mass Ms 6 Kg And Radius Rs 5 Cm Can Rotate About A Vertical Axis On Frictionless Bearing 1 (153.37 KiB) Viewed 17 times

a A uniform solid sphere of mass Ms = 6 kg and radius Rs = 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 Mp=4 kg and radius Rp = 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 MP m "], ע 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)