Topics in Depth

Topics in Depth

The Basics of Rotational Motion

At the root of it, rotational motion is just like translational motion. Got it? Good, next chapter.Well, okay, there are some subtleties. But the key thing to remember is that all that time and ene...

Moment of Inertia

When it comes to translational motion, the idea of mass is fairly straightforward: heavy objects are harder to push. That's true in rotation too—a heavy object is harder to turn—but there's mor...

Torque

A doorknob is on the opposite side of a door as the hinges. Any wrench worthy of the name must be a few inches long. The place you push with your thumb on a pair of nail clippers is not directly ab...

Angular Momentum

No kinematic study would be complete without some mention of conservation laws, right? It's a crazy, constantly shifting and mutable universe out there—but we can always count on energy, momentum...

Rotation and Energy

To complete the tools you need to analyze rotational motion, we need one more concept from translational kinematics: energy. Rotating objects can still have kinetic and potential energy, but spinni...

Common Mistakes

The Basics of RotationRadians, radians, radians. Use them, know them, love them. There are 2π rad in one rotation.Moment of InertiaRemember the moments listed for common shapes are only true if th...

Test Your Knowledge

The Basics of Rotation1. What is the angular velocity of the earth as it rotates around its own axis? 2. Measured from space, what is the translational speed of a person standing on the surface of...