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A particle moves in a straight line with a constant velocity. What is the angula

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Question: A particle moves in a straight line with a constant velocity. What is the angular momentum of the particle about a point not on the line of motion?

Options:

  1. Zero
  2. Depends on the distance from the point
  3. Infinite
  4. Constant

Correct Answer: Depends on the distance from the point

Solution: 

The angular momentum is non-zero and depends on the distance from the point to the line of motion.

A particle moves in a straight line with a constant velocity. What is the angula

Practice Questions

Q1
A particle moves in a straight line with a constant velocity. What is the angular momentum of the particle about a point not on the line of motion?
  1. Zero
  2. Depends on the distance from the point
  3. Infinite
  4. Constant

Questions & Step-by-Step Solutions

A particle moves in a straight line with a constant velocity. What is the angular momentum of the particle about a point not on 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: Recognize that the particle is moving in a straight line with a constant velocity.
  • Step 3: Identify the point that is not on the line of motion. This point is where we will calculate the angular momentum.
  • Step 4: Determine the distance from the point to the line of motion. This distance is important for calculating angular momentum.
  • Step 5: Use the formula for angular momentum (L = r * p), where 'L' is angular momentum, 'r' is the distance from the point to the line of motion, and 'p' is the linear momentum of the particle (mass times velocity).
  • Step 6: Since the particle has a constant velocity, its linear momentum (p) is constant.
  • Step 7: Conclude that the angular momentum is non-zero because there is a distance (r) from the point to the line of motion, and it depends on this distance.
  • Angular Momentum – Angular momentum is a measure of the rotational motion of an object and is calculated as the product of the object's linear momentum and the perpendicular distance from the point of rotation to the line of motion.
  • Constant Velocity – Constant velocity implies that the particle moves in a straight line at a uniform speed, which simplifies the analysis of its motion.
  • Distance from Point to Line of Motion – The distance from the point not on the line of motion to the line itself is crucial in determining the angular momentum, as it affects the lever arm in the angular momentum formula.
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