A rigid body is rotating about a fixed axis with an angular velocity ω. If the m
Practice Questions
Q1
A rigid body is rotating about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
Iω
ω/I
I/ω
Iω^2
Questions & Step-by-Step Solutions
A rigid body is rotating about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
Correct Answer: L = Iω
Step 1: Understand that a rigid body is an object that does not deform when forces are applied to it.
Step 2: Recognize that when a rigid body rotates, it has a property called angular velocity (ω), which tells us how fast it is spinning.
Step 3: Learn that the moment of inertia (I) is a measure of how mass is distributed in the body and how difficult it is to change its rotation.
Step 4: Know that angular momentum (L) is a quantity that represents the amount of rotation an object has.
Step 5: The formula to calculate angular momentum for a rigid body rotating about a fixed axis is L = Iω.
Step 6: In this formula, 'I' is the moment of inertia and 'ω' is the angular velocity.
Step 7: To find the angular momentum, simply multiply the moment of inertia (I) by the angular velocity (ω).
Angular Momentum – Angular momentum is a measure of the rotational motion of a rigid body, calculated as the product of its moment of inertia and angular velocity.
Moment of Inertia – Moment of inertia is a scalar value that represents how mass is distributed relative to the axis of rotation, affecting the body's resistance to changes in its rotational motion.
Angular Velocity – Angular velocity is the rate of change of angular displacement and indicates how fast an object is rotating about an axis.
