§10.5 — Rolling Motion
Billiard balls on a table, bicycles on a street, car wheels — they all roll. Rolling is a perfect blend: – Linear motion: center of mass moves…
§10.6 — Gyroscopic Motion
Hold a spinning top horizontally by its rod and release it — it falls. Now spin the top and release it — it doesn’t fall! Instead, its axis slowly…
§10.4 — Rotational Kinetic Energy
A spinning football thrown through the air has two types of kinetic energy: 1. Translational kinetic energy: from the motion of its center of mass 2.…
§10.3 — Rotational Dynamics
Newton’s second law tells us how force changes linear motion:
§10.2 — Moment of Inertia
A simple question: which is harder to spin? (1) A houseplant or (2) a steel wheel of the same mass? Obviously the wheel. But why? Both have the same…
§10.1 — Rotational Kinematics
So far we’ve studied linear motion — an object moving along a line or in a plane. But many objects rotate: wheels, electrons in atoms, planets, even…
Chapter 10 — Rotation of a Rigid Body
Rigid body rotation: angular kinematics, moment of inertia, torque, rotational kinetic energy, and rolling motion with full examples.
§9.6 — Rigid Body Dynamics
Now we know that: – Center of mass represents translational motion (§9.1–9.3) – Angular momentum represents rotational motion (§9.5)
§9.5 — Angular Momentum
Until now we have studied linear motion of objects. But many objects rotate. Car wheels, soccer balls, planets, and even electrons have rotational…
§9.4 — Impulse and Collisions
Impulse is a concept that represents a large force acting over a short time. It is very useful for analyzing collisions and explosions. This section…