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 1200 N on the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 74 kg and the vine is 4.8 m long.

Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable?
at lowest point%26gt; being at the botton of circlular arc of verticle cirecle %26gt; he will face following set of forces

mv^2/r = centripetal = upwards

T = tension %26gt; always acting on tied point = upwards

weight =mg = down

so

mv^2 / r = T - mg = 1200 - 74*9.8

v^2 = 4.8[1200 - 74*9.8] / 74

v = 5.55 m/s = at lowest point of his swing