Q4 An 91.0-kg mountain climber plans to swing down, starting from rest, from a l
ID: 1272254 • Letter: Q
Question
Q4
An 91.0-kg mountain climber plans to swing down, starting from rest, from a ledge using a light rope 6.40 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. (a) How long after he begins his swing will the climber first reach his lowest point? s (b) 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
As we know dat
T = 2 pie sqrt (L/g)
T = 2 pie sqrt (6.4/9.8) = 5.08 sec
a . In the 1st case it ll be
T1 = T/4 = 5.08/4 = 1.269 sec
b . In the 2nd case it ll be
T2 = 3T/4 = 3*5.08/4 = 3.81 sec
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