An 91.5-kg mountain climber plans to swing down, starting from rest, from a ledg

Question

An 91.5-kg mountain climber plans to swing down, starting from rest, from a ledge using a light rope 9.00 m long. He holds one end of the rope, and the other end is tied higher up on a rock face. Since the ledge is not very far from the rock face, the rope makes a small angle with the vertical. At the lowest point of his swing, he plans to let go and drop a short distance to the ground. How long after he begins his swing will the climber first reach his lowest point s If he missed the first chance to drop off, how long after first beginning his swing will the climber reach his lowest point for the second time s

Explanation / Answer

A)the time is calculated as follows:

T=2sqrt[(9)/(9.80)] = 6.02 s
hence, the required time: t = T/4 = 1.505 s

B) the time t is calcululated as follows:

t = 3T/4 = 4.515 s

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