(a) A ball, suspended by a thread, swings in a vertical plane so that the magnitudes of its acceleration in the extreme and the lowest positions are equal. Find the maximum deflection of the thread with respect to the vertical. ( b) The kinetic energy of a particle moving in a circle of radius R depens on the distance covered as T = as^(2) , where 'a' is a constant. Find the magnitude of the force acting on the particle as a function of s.

(a) A ball, suspended by a thread, swings in a vertical plane so that

1.	(a) A ball, suspended by a thread, swings in a vertical plane so that the magnitudes of its acceleration in the extreme and the lowest positions are equal. Find the maximum deflection of the thread with respect to the vertical. ( b) The kinetic energy of a particle moving in a circle of radius R depens on the distance covered as T = as^(2) , where 'a' is a constant. Find the magnitude of the force acting on the particle as a function of s.
Answer» Answer :(a) `COS^(-1)((3)/( 5)) `, ( b) ` ( 2 as ) sqrt((s^(2))/( R^(2)) + 1)`

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