rotational dynamics

newton’s 2nd law (linear/translational)

net force causes an object to have acceleration

newton’s 2nd law (rotational)

torque causes an object to have angular acceleration; total torque = MOI*(angular acceleration)

T = F*(____)

l (lever arm)

line of action

line extending from force vector

moment of inertia

a measure of how much an object resists rotation around an axis (simple: resistance to change)

rotational work

work done by a constant torque turning an object through an angle

conservation of energy (2 parts)

energy cannot be created or destroyed, total amount of energy in a system remains constant in the absence of non-conservative forces

conservation of angular momentum

momentum in a system remains constant in the absence of external torque and nonconservative forces

mass _____ axis, resists change in motion. mass _________ axis, allows change in motion.

further from, closer to