Moment of Inertia + Conservation of Energy & Momentum

End of Rod

1/3 MR²

Center of Rod

1/12 MR²

Hoop

MR²

Solid Cylinder

½ MR²

Disk

½ MR²

Solid Sphere

2/5 MR²

Hollow Sphere

2/3 MR²

Thin Walled Cylinder About Center

MR²

Point Mass

MR²

Elastic Collision

Momentum & Kinetic Energy Conserved

Inelastic Collision

Momentum Conserved, Kinetic Energy not Conserved

Uniform Mass Density 2 Important Equations

Uniform Mass density = M/L

dm = uniform mass density dx = M/L dx

Parallel Axis Theorem

I parallel = Icom + MD²

Escape Velocity

Sqrt( 2GM/r)

What is Work

W= Fdcos(theta)