# PHYS 101 Lecture Notes - Lecture 26: Angular Velocity, Angular Acceleration, Maltese Lira

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PHYS 101: Physics for the Life Sciences Lecture 26:

Angular Momentum Examples

dL

dt =τ❑

If there is no net torque on the system then,

dL

dt =0

And therefore the angular momentum is conserved.

L=r × P=m(r× V )

∣

L

∣

=m

∣

r

∣∣

V

∣

sin φ

¿m

∣

r

∣∣

V

∣

sin (90 °)

¿m

∣

r

∣∣

V

∣

¿m

∣

r

∣

2

∣

ω

∣

¿I

∣

ω

∣

Example:

A rigid rod of mass M and length

l

is pivoted without friction at it’s centre. Two

particles of masses m1 and m2 are stuck on the end and rotates in a vertical plane with

angular velocity

ω

.

A. Calculate an expression for the angular momentum of the system.