A sphere of mass,

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A sphere of mass, MM, and radius of 5.0 cm rolls, without slipping, down a sloping surface of length 1.5 m in a time of 6.0 s. (The moment of inertia of a sphere of mass, MM, and radius, RR, is 25MR2\frac{2}{5}MR^2 .) (a) Use the equations of linear kinematics to determine the speed of the sphere when it reaches the end of the sloping surface. (b) Calculate the angular velocity of the sphere at the end of the sloping surface. (c) Show that gh=710v2gh = \frac{7}{10}v^2 where hh is the height of the top of the sloping surface above its bottom. (d) Calculate hh .

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