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In: Physics

A ball of mass m is tied to a string and is rotating in a vertical...

A ball of mass m is tied to a string and is rotating in a vertical plane. The string is elastic (it stretches), which causes the path to be elongated vertically rather than perfectly circular. At the top of the path, the speed has the minimum value that still allows the ball to complete its circular path. Find: the length of the string when it makes an angle θ with respect to the horizontal. The following quantities are known: Mass of the ball , m Elastic constant of the string, k Length of the string when the ball is at the top , r0 and angle θ.

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