You hang by your hands from a tree limb that is a height L above the ground, wit

Question

You hang by your hands from a tree limb that is a height L above the ground, with your center of mass a height h above the ground and your feet a height d above the ground, as shown in the figure. You then let yourself fall. You absorb the shock by bending your knees, ending up momentarily at rest in a crouched position with your center of mass a height b above the ground. Your mass is M. (a) Starting from the energy principle, find your speed just before your feet touch the ground. (b) Starting from the energy principle (point particle model) and assuming that the contact force of the ground on your feet is constant, find the magnitude of the contact force during your landing. (c) What is the (real) work done by the contact force? (d) Starting from the energy principle (real model), find the change in your internal energy during landing.

Explanation / Answer

Hi,

please find the below solution.

These all formule from kinetic law of motion.

a) v2-u2=2gd

b)F=m(v-u)/t

c)W=F(h-d-b)

d)PE=mg(h-b)

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