A disc of radius R and mass M is rotating about its axis with an angular velocit

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Question: A disc of radius R and mass M is rotating about its axis with an angular velocity ω. What is the moment of inertia of the disc? (2020)

Options:

Correct Answer: (1/2)MR²

Exam Year: 2020

Solution:

The moment of inertia of a solid disc about its central axis is given by I = (1/2)MR².

A disc of radius R and mass M is rotating about its axis with an angular velocity ω. What is the moment of inertia of the disc? (2020)

A disc of radius R and mass M is rotating about its axis with an angular velocity ω. What is the moment of inertia of the disc? (2020)

Step 1: Understand what moment of inertia is. It is a measure of how difficult it is to change the rotation of an object.
Step 2: Identify the shape of the object. In this case, it is a solid disc.
Step 3: Know the formula for the moment of inertia of a solid disc about its central axis. The formula is I = (1/2)MR².
Step 4: Recognize that M is the mass of the disc and R is the radius of the disc.
Step 5: Substitute the values of M and R into the formula if they are given, or use the formula as is to express the moment of inertia.

Moment of Inertia – The moment of inertia is a measure of an object's resistance to changes in its rotation, depending on the mass distribution relative to the axis of rotation.
Rotational Dynamics – This concept involves the study of the motion of rotating bodies and the forces that cause this motion.