A particle is moving in a straight line with a velocity v. If it suddenly starts
Practice Questions
Q1
A particle is moving in a straight line with a velocity v. If it suddenly starts moving in a circular path of radius r, what will be its angular momentum about the center of the circular path?
0
mv
mvr
mv^2/r
Questions & Step-by-Step Solutions
A particle is moving in a straight line with a velocity v. If it suddenly starts moving in a circular path of radius r, what will be its angular momentum about the center of the circular path?
Correct Answer: mvr
Step 1: Understand that angular momentum is a measure of how much motion an object has when it moves in a circular path.
Step 2: Identify the variables: 'm' is the mass of the particle, 'v' is the linear velocity (speed in a straight line), and 'r' is the radius of the circular path.
Step 3: Recall the formula for angular momentum (L) in circular motion: L = mvr.
Step 4: Plug in the values of mass (m), velocity (v), and radius (r) into the formula to calculate the angular momentum.
Step 5: The result will give you the angular momentum of the particle about the center of the circular path.
Angular Momentum – Angular momentum is the product of the linear momentum and the radius from the axis of rotation, given by the formula L = mvr.
Circular Motion – When a particle moves in a circular path, its linear velocity is related to its angular velocity and the radius of the circle.
