Find the reaction of the sphere on the particle and the, Mechanical Engineering

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Find the reaction of the sphere on the particle and the

A particle of mass m is attached to the highest point of a smooth rigid sphere of radius a by a light inextensible string of length πa/4. The particle moves in contact with the outer surface of the sphere, with the string taut, and describes a horizontal circle with constant speed u.

Find the reaction of the sphere on the particle and the tension in the string. Deduce the maximum value of u for which such a motion could take place. What will happen if u exceeds this value?

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