Example 11.3 Angular Momentum of a Particle in Circular Motion SOLVE IT Conceptu

Question

Example 11.3 Angular Momentum of a Particle in Circular Motion

SOLVE IT

Conceptualize The linear momentum of the particle is changing in direction (but not in magnitude). You might therefore be tempted to conclude that the angular momentum of the particle is always changing. In this situation, however, that is not the case. Let's see why.

Categorize We use the definition of the angular momentum of a particle discussed in this section, so we categorize this example as a substitution problem.

L = mvr sin 90° = mvr

MASTER IT

mr2

A particle moving in a circle of radius r has an angular momentum about an axis through Othat has magnitude mvr. The vector = points out of the page.

Explanation / Answer

L = r x P

L = m*v*r k

using the relation , speed v = rw

L = m*r*w*r k

L = m*r^2*w K

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