The moment of inertia for an arm or leg can be expressed as I = amL 2 , where a

Question

The moment of inertia for an arm or leg can be expressed asI = amL2, wherea is a unitless number thatdepends on the axis of rotation and the geometry of the limb andL is the distance to the center of mass. Say that a personhas arms that are 26.80 cm in length and legs that are 32.16 cm inlength and that both sets of limbs swing with a period of 1.40 s.Assume that the mass is distributed evenly over the length for boththe arm and leg.

Calculate the value of a for theperson's arms.

Calculate the value of a for theperson's legs.

Calculate the period for the person's arms if you assume theybehave as a simple pendulum.

Calculate the period for the person's legs if you assume theybehave as a simple pendulum.

Explanation / Answer

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