Find the speed of the centre g of the ball

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Reference no: EM131383282

A uniform ball of mass M and radius a can roll without slipping on the rough outer surface of a fixed sphere of radius b and centre O. Initially the ball is at rest at the highest point of the sphere when it is slightly disturbed.

Find the speed of the centre G of the ball in terms of the variable θ, the angle between the line OG and the upward vertical.

[Assume planar motion.] Show that the ball will leave the sphere when cos θ = 10/17.

Reference no: EM131383282

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