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A particle moves in a straight line with a velocity v. What is its angular momen

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

Options:

  1. mv
  2. mvd
  3. mdv
  4. 0

Correct Answer: mvd

Solution: 

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

A particle moves in a straight line with a velocity v. What is its angular momen

Practice Questions

Q1
A particle moves in a straight line with a velocity v. What is its angular momentum about a point P located at a distance d from the line of motion?
  1. mv
  2. mvd
  3. mdv
  4. 0

Questions & Step-by-Step Solutions

A particle moves in a straight line with a velocity v. What is its angular momentum about a point P located at a distance d 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 moving in a straight line with a certain velocity 'v'.
  • Step 3: Recognize that point P is located at a distance 'd' from the line of motion of the particle.
  • Step 4: Realize that the perpendicular distance from the line of motion to point P is what we need to calculate angular momentum.
  • Step 5: Use the formula for angular momentum, which is L = mvr, where 'm' is the mass of the particle, 'v' is its velocity, and 'r' is the perpendicular distance from the line of motion to point P.
  • Step 6: In this case, 'r' is equal to 'd', the distance from the line of motion to point P.
  • Step 7: Substitute 'd' for 'r' in the formula to get the final expression for angular momentum: L = mvd.
  • Angular Momentum – Angular momentum is the product of the mass, velocity, and the perpendicular distance from the line of motion to the point of interest.
  • Perpendicular Distance – The perpendicular distance is crucial for calculating angular momentum, as it determines the effectiveness of the velocity in generating rotational motion about the point.
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