The moment of inertia of an object about a given axis describes how difficult it

Question

The moment of inertia of an object about a given axis describes how difficult it is to change its angular motion about that axis. Therefore, it encompasses not just how much mass the object has overall, but how far each bit of mass is from the axis.

Explain the concept of

Moment of Inertia in detail with examples.[Include necessary sketches]

The moment of inertia of an object about a given axis describes how difficult it is to change its angular motion about that axis. Therefore, it encompasses not just how much mass the object has overall, but how far each bit of mass is from the axis.

Explain the concept of

Moment of Inertia in detail with examples.[Include necessary sketches]

Explanation / Answer

A moment of inertia refers to the force needed to cause a rotating object to change speeds. All rotating objects have an axis, or a point that they rotate around. Some objects require more force to change the speed of this rotation than others. Those that will change their rotational speed easily have a low moment of inertia, while those that are difficult to change have a high moment of inertia.

common example used to envision the moment of inertia is to think of an ice skater who isspinning. As the skater begins a spin, she stretches her arms and back out and away to create a slow spin. As she reaches the end of the spin, she tucks her arms in and tightens her frame, causing her to spin at a much more rapid speed. She has consolidated her mass closer to the axis, reduced her moment of inertia, and reduced the effort needed to spin quickly. With no change in force, she is able to accelerate her rotational speed.

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