A hoop of radius 1.4 m and mass 11.5 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 hoop’s 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 hoop’s centre, and that the hoop’s 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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The location of the ball when it reaches the bottom of the hoop is x = -1.4 m.
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