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Chapter 10: Problem 10

The lower part of a horse's leg contains essentially no muscle. How does this help the horse to run fast? Explain in terms of rotational inertia.

Short Answer

Expert verified
The lack of muscles in the lower part of a horse's leg reduces the rotational inertia, allowing the leg to accelerate faster with less force. This contributes to the horse鈥檚 ability to run quickly.

Step by step solution

01

Understanding Rotational Inertia

Rotational inertia, also known as moment of inertia, is the rotational equivalent of linear inertia. It is the property of a rotating body that determines its resistance to any change in its rotational motion. It depends on both the mass of the object and the distribution of that mass around the axis of rotation. The further away the mass is from the axis of rotation, the higher the moment of inertia.
02

Application to Horse鈥檚 Leg Structure

In the case of a horse鈥檚 leg, it does have muscles, but they are concentrated higher up in the body, near the pivot point of rotation, which is the hip joint. The lower part of the leg, specifically from the knee joint downwards, consists mainly of bone, tendons, ligaments, and little-to-no muscle.
03

Connection to Faster Movements

With less mass distributed farther from its pivot point of rotation, the rotational inertia of the horse's lower leg is reduced. Consequently, it requires less force to change the motion of the leg, and hence, the leg can move at a higher acceleration. By minimizing the rotational inertia, the horse can move its legs faster, enabling it to run at a higher speed.

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