A string of length 2a is attached to a point O and has a particle of mass

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A string of length 2a is attached to a point O and has a particle of mass 3m attached to the other end. The particle is resting in equilibrium. The particle is then projected with horizontal speed √15ga.

a. Find the speed of the particle at the highest point of its circular path.

b. Find the difference between the greatest and least tension in the string.

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