A small sphere of mass m suspended by a thread is first taken aside so that the thread forms the right angle with the vertical and then released. Find: (a) the total acceleration of the sphere and the thread tension as a function of θ, the angle of deflection of the thread from the vertical; (b) the thread tension at the moment when the vertical component of the sphere s velocity is maximum; (c) the angle θ between the thread and the vertical at the moment when the total acceleration vector of the sphere is directed horizontally.
Solution:
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