A small ball swings in a horizontal circle at the end of a cord of length l1, which forms an angle (1 with the vertical. The cord is then slowly drawn through the support at O until the length of the free end is l2.

(a) Derive a relation among l1, l2, (1, and (2.

(b) If the ball is set in motion so that initially l1 = 0.8 m and (1 = 35o, determine the angle (2 when l2 = 0.6 m.

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e.