Momentum and Torque

p = mv

Momentum associated with a moving mass

F = dp/dt

Force related to momentum.

X_cm=(sum of m_ix_i)/(sum of m_i)

Center of mass formula

Law of conservation of momentum

The total momentum before a collision or separation equals the total momentum after the collision or separation.

Elastic Collisions

Involve both the conservation of momentum and and conservation of energy.

Inelastic Collisions

Involves only the conservation of momentum.

Impulse

Forces that act for a short period of time.

Torque

The force times level arms, the product of the force perpendicular to a line drawn from the center of rotation to other point at which the force is applied times this lever arm.

T = rFsintheta

Torque equation

L = r(mv)

Angular momentum formula, linear momentum of a mass point times lever arm r.

alpha = a/r

Angular accelearation equation.

T = Ialpha

Force equation in relation to torque.

I = 2mr²

Moment of inertia equation.

Torque

Measure of a force’s effectiveness at making an object spin or rotate.