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?
Practice Questions
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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?
mv
mvd
mdv
0
Angular momentum L = mvr, where r is the perpendicular distance from the line of motion to point P.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution: Angular momentum L = mvr, where r is the perpendicular distance from the line of motion to point P.
Steps: 7
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.
