module 9 angular momentum

torque direction

orthogonal to both r→ and F→ (cross product), thus parallel to the axis of rotation

angular momentum L→ =

r→ x p→

dL→/dt =

∑ torques

in uniform circular motion, the magnitude of L is

constant

L→ (angular context) =

Iω

linear motion may be considered to be carrying angular momentum

around an axis offset from the linear motion

angular momentum in linear motion

L1 = L2 = r1 x p1 = r1mv1 ^z

conservation of angular momentum

sum of torques = rate of change of angular momentum. if it equals zero, then angular momentum is conserved and vice versa

precessional velocity

∆φ/∆t = mgx/L, where x is the distance from point of contact with ground to center of mass (?)