Question

Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting a force of 1820 N on the rope, what is the maximum speed (in meters/second) he can tolerate at the lowest point of his swing? His mass is 83.0 kg, and the vine is 11.0 m long

Answer 1

The rope must support his weight and centripetal force at the bottom of the swing. At the breaking point,

M*(g + V^2/L) = 1820 N

L = 11.0 m
M = 83 kg
g = 9.8 m/s^2
Solve for V

Answer 2

11.54