Question Detail

PHY 101 Rigid Body Dynamics Objective Question

Question

Which of the following is a correct definition of angular momentum L for a body with linear momentum p at a position r relative to a reference point?
Options
A L = r · p
B L = r × p
Correct Answer
C L = p × r
D L = |r| |p|
Correct Answer

Option B is the correct answer.

Detailed Explanation

Angular momentum is defined as the moment of linear momentum. It is a vector quantity given by the cross product of the position vector r (from the reference point to the body) and the linear momentum vector p: L = r × p. The order of the cross product is important as it is not commutative.

Hint

Angular momentum is to linear momentum as torque is to force. Recall the vector operation used to define torque.

Question Info