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A particle is moving in a straight line with a velocity v. What is its angular m

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Question: A particle is moving in a straight line with a velocity v. What is its angular momentum about a point O located at a distance r from the line of motion?

Options:

  1. 0
  2. mv
  3. mvr
  4. mv^2

Correct Answer: mv

Solution: 

Angular momentum L = mvr, where r is the perpendicular distance from the line of motion to point O.

A particle is moving in a straight line with a velocity v. What is its angular m

Practice Questions

Q1
A particle is moving in a straight line with a velocity v. What is its angular momentum about a point O located at a distance r from the line of motion?
  1. 0
  2. mv
  3. mvr
  4. mv^2

Questions & Step-by-Step Solutions

A particle is moving in a straight line with a velocity v. What is its angular momentum about a point O located at a distance r from the line of motion?
  • Step 1: Understand that angular momentum is a measure of how much motion a particle has around a point.
  • Step 2: Identify the particle's mass (m) and its velocity (v) as it moves in a straight line.
  • Step 3: Determine the distance (r) from the line of motion to the point O where you want to calculate the angular momentum.
  • Step 4: Recognize that the formula for angular momentum (L) is L = mvr.
  • Step 5: Use the values of mass (m), velocity (v), and the perpendicular distance (r) to calculate the angular momentum.
  • Angular Momentum – Angular momentum is a measure of the rotational motion of an object and is calculated as the product of the object's mass, its velocity, and the perpendicular distance from the line of motion to the point of rotation.
  • Perpendicular Distance – The perpendicular distance is crucial in determining the angular momentum about a point, as it directly affects the magnitude of the angular momentum.
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