Question

A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of her leg. She produces an angular acceleration of 30.00 rad/s' and her lower leg has a moment of inertia of 0.750 kg · m’. What is the force exerted by the muscle if its effective perpendicular lever arm is 1.90 cm?​

Answer 1

Answer:

Let us assume a rigid object that is pivoted at a fixed point and free to rotate. The moment of inertia of the object about the pivot point is (I). Assume the object gains an angular acceleration (

α

) due to the application of a tangential force (F), then the torque acting on the object can be given as,

τ

=

F

×

r

=

I

×

α

.

Here, r = distance evaluated from the axis of rotation to where the linear force is applied

Explanation:

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