Pathfinder Oscillations & Waves BYU 16

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A block of mass M can slide without friction on a horizontal frictionless floor. A small ball of mass m is suspended by a light inextensible cord of length l from a hanger fixed on the top of a vertical pole rigidly mounted on the block so that the ball can swing freely in a vertical plane. When the block is held fixed, the period of small amplitude oscillations of the simple pendulum consisting of the ball and the thread is To. What would be period of small amplitude oscillations of the simple pendulum, if the block were not held fixed.

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