Rolling, Torque and Angular Momentum Formulas Flashcards
1
Q
Torque (Vector)
A
torque = r x F
torque = r F sin phi = r F(perpendicular) = r(perpendicular) F
2
Q
Rolling bodies
A
vcom = ωR
3
Q
Kinetic energy of rolling wheel
A
K = 1/2 Icomω^2 + 1/2 Mv^2com
4
Q
angular acceleration a about the center
A
acom = aR
acom = -gsin teta / (1 + Icom/MR^2)
5
Q
Angular Momentum of a Particle (l)
A
l = r x p = m (r x v)
6
Q
magnitude of l
A
l = rmv sin phi
rp (perpendicular) = rmv (perpendicular)
r (perpendicular) p = r (perpendicular) mv
7
Q
Newtons Second Law in angular form
A
torque net = dl/dt
system particles
torque net = dL/dt
8
Q
angular momentum of system particles
A
L = sum of l
9
Q
Angular momentum of a rigid body
A
L = Iw
10
Q
Conservation of Angular Momentum
A
L = constant
Li = Lf
11
Q
Precession of a gyroscope
A
Ω = Mgr/Iω
