After doing some exercises on the floor, you are lying on your back with one leg

Question

After doing some exercises on the floor, you are lying on your back with one leg pointing straight up. If you allow your leg to fall freely until it hits the floor , what is the tangential speed of your foot just before it lands? Assume the leg can be treated as a uniform rod 0.95 long that pivots freely about the hip.

*use conservation of energy to find the angular speed of the leg when it hits the floor from which the linear(tangential) speed of the foot can be found. Use the center of mass(CM) of the leg in the gravitational potential energy term.

v=_____?_____ m/s

Explanation / Answer

v= 5.3 m/s

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