A pendulum made of a string and a sphere is able to swing in avertical plane. Th

Question

A pendulum made of a string and a sphere is able to swing in avertical plane. The pendulum is released from a position of 66degrees? from vertical as shown in the figure below. The stringhits a peg located a distance d
below the point of suspension and rotates about the peg. Theacceleration of gravity is 9.8 m/s2 . Mass of the sphere is 2 kg.Length of the string is 10 m.

Find the smallest value of d (highest peg position) in order forthe sphere to swing in a full circle centered on the peg. Answer inunits of m.

Explanation / Answer

For the ball to make a circle around the peg, weneed for = /2 and for there to be enough velocity tomaintain circular motion.

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