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Why is it easier to swing your leg forward (angularly accelerate it) when it is bent...

Why is it easier to swing your leg forward (angularly accelerate it) when it is bent at the knee? Why is it easier to perform jumping jacks with your arms bent?

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Answer #1

I think it is due to inertia and location of center of mass.

Since mass of leg is primarily fixed, we can only change the location of center of mass.

The knee acts like an axis or pivot and when we move leg's center of mass closer to the axis, the moment of inertia decrease as a result of this, angular acceleration increases.

This can be interpreted from equation

= Torque / moment of inertia.

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the same concept applies for why it it easier to perform jumping jacks with your arms bent

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