Question

A particle of mass m moves in a circle of radius R at a constant speed v, as shown below. The motion begins at point Q at time t = 0. Determine the angular momentum of the particle about the axis perpendicular to the page through point P as a function of time. (Use any variable or symbol stated above along with the following as necessary: t.)

Answer 1

\[L=mr^2 (\omega_i+\ \alpha \Delta t)\]

Answer 2

to get you started:

\(\large \vec L = \vec r \times \vec p = \vec r \times m \vec v =m |\vec r| \, |\vec v| \sin \theta \; \hat n=m |\vec r| \, |\vec v| \; \hat n\)

or just plain old...

\(L = m r v\)