Question

Tarzan plans to cross a gorge by swinging in an arc from a hanging vine, as shown in the figure (Figure 1) .

Tarzan plans to cross a gorge by swinging in an arc from a hanging vine, as shown in the figure (Figure 1) . If his arms are capable of exerting a force of 1700N on the vine, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 80kg , and the vine is 6.0m long. Express your answer to two significant figures and include the appropriate units.

If his arms are capable of exerting a force of 1700N on the vine, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 80kg , and the vine is 6.0m long.

Express your answer to two significant figures and include the appropriate units.

Answer 1

The forces he experienced is

1]centripetal force, mv²/r along upward direction.
2] T along upward direction.
3] weight,mg along downward direction.

mv² / r = T - mg = 1700 - 80*9.8
v² = 916*6/80
v = 8.29m/s is the velocity at lowest point of his swing