A pendulum, comprising a lightstring of length L and a smallsphere, swings in the

Chapter 8, Problem 68

(choose chapter or problem)

A pendulum, comprising a lightstring of length L and a smallsphere, swings in the verticalplane. The string hits a peg locateda distance d below the point ofsuspension (Fig. P8.68). (a) Showthat if the sphere is released froma height below that of the peg, itwill return to this height after thestring strikes the peg. (b) Show that if the pendulum isreleased from rest at the horizontal position (u 5 908)and is to swing in a complete circle centered on the peg,the minimum value of d must be 3L/5.

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