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A hoop of radius 2.1 m and mass 19.3 kg has a small ball stuck to its inside surface. The ball has a radius of one quarter that of the hoop, and twice the hoopâs mass. The hoop may roll freely, without slipping. Similarly, the ball may roll along the inside of the hoop without slipping. Suppose the system starts out with the ball on the rightmost side of the hoop horizontally aligned with the hoopâs centre, and that the hoopâs centre is at x=0 along the x-axis. The system is then released, and the ball rolls down to the bottom of the hoop. Calculate the location along the x-axis ,in m, of the ball when it reaches the bottom of the hoop.

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