1. Equilibrium Two conditions Torque = r x F, in two dimensions;
Sum of forces = 0, (no linear acceleration)
SF=0
Sum of torques = 0, (no angular acceleration)
St=o
Torque = r x F, in two dimensions;
t=rFsinq

2. Circular Linear p
q=q0 + wt + ½ at2 d=d0 + vt + ½ at2
w=w0 + at v=v0 + at
w2 = w02 +2aDq v2 = v02 +2aDd
a=Dw/Dt a=Dv/Dt
Torque; t=Ia Force; F=ma
Circular motion: p193
vt=2pr/T=wr; tangential velocity
w=2p/T (rad/sec); angular velocity
T is time to make one rotation or revolution,
one rotation or revolution is 2p radians
ac=w2r=vt2/r; centripetal acceleration toward center of rotation
at=ar; tangential acceleration
a=dw/dt; angular acceleration

3. Kinetic energy
Rotational KErot = ½ Iw2
Translational KEtrans = ½ mv2
Moment of Inertia
point mass I=Mr2
solid sphere I = 2/5 MR2
solid cylinder/disk I= ½ MR2
Angular Momentum
L=Iw; Torque t=Ia; t=dL/dt
p234
P238, 240

4. Equations Describe observed physical properties
They do not explain why
Once you properly choose an equation to solve for unknowns, the rest is MATH.
Be neat and orderly
Be consistent with units
Beware of the calculator