Problem 6 - conservation of angular momentum

Finding final angular speed when two circle objects collide

1.Li = ½ dmv + ½ dmv (which was r cross p)

2.Lf = 2(Icm sphre + mR²) w (parallel axis theorem)

3. Li = Lf (and solve for wf- which is w from Lf))

Finding angular speed when 2 kids are spinning on a merry go round and 1 flies off

1. Li = Li (1st kid) + Li (2nd kids) + Ld (the disk itself) wi

(m1R² + m2R² + ½ Mr²) wi

2. Lf = L(1st kid + disk) + L2 (kid who flew off)

(Ip1 + Id) wf + (r x p2)

(m1R² + 1/2mR²) wf + Rmv

3. set equal to each other and solve for wf

Finding final angular velocity of two objects that hit each other and then go their separate ways

1. Li = Isphere wi + (rxp)

2/5 MR²wi + Rmv2

2. Lf = Isphere wf + (rxp)

2/5 mr² wf + Rmv3cos theta

3. Set equal to each other and solve for wf

What is conservation of angular momentum?

Li = Lf

1. Find Li

2. Find Lf

3. Set equal to each other