Core - Physics

Chapter 11

Dynamics of Rotational Motions

11.1 : Torque

Torque is an important quantity for describing the dynamics of a rotating rigid body. We see the application of torque in many ways in the world, such as ...

11.2 : Net Torque Calculations

11.2 : Net Torque Calculations

When a mechanic tries to remove a hex nut with a wrench, it is easier if the force is applied at the farthest end of the wrench handle. The lever arm is ...

11.3 : Equation of Rotational Dynamics

11.3 : Equation of Rotational Dynamics

Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic ...

11.4 : Rolling Without Slipping

11.4 : Rolling Without Slipping

People have observed the rolling motion without slipping ever since the invention of the wheel. For example, one can look at the interaction between a ...

11.5 : Rolling With Slipping

11.5 : Rolling With Slipping

Rolling with slipping is a physical phenomenon that occurs when a rolling object experiences both rotational and linear motion but also experiences ...

11.6 : Work and Power for Rotational Motion

11.6 : Work and Power for Rotational Motion

Work and power in rotational motion are completely analogous to work and power in translational motion. The total work done to rotate a rigid body through ...

11.7 : Work-Energy Theorem for Rotational Motion

11.7 : Work-Energy Theorem for Rotational Motion

The work-energy theorem for rotational motion is analogous to the work-energy theorem in translational motion. It states that the net work done by an ...

11.8 : Angular Momentum: Single Particle

11.8 : Angular Momentum: Single Particle

Angular momentum is directed perpendicular to the plane of the rotation, and its magnitude depends on the choice of the origin. The perpendicular vector ...

11.9 : Angular Momentum: Rigid Body

11.9 : Angular Momentum: Rigid Body

The total angular momentum of a rigid body can be calculated using the summation of the angular momentum of all the tiny particles rotating in the same ...

11.10 : Conservation of Angular Momentum

11.10 : Conservation of Angular Momentum

A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n ...

11.11 : Conservation of Angular Momentum: Application

11.11 : Conservation of Angular Momentum: Application

A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely ...

11.12 : Rotation of Asymmetric Top

11.12 : Rotation of Asymmetric Top

By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if ...

11.13 : Gyroscope

11.13 : Gyroscope

A gyroscope is defined as a spinning disk in which the axis of rotation is free to assume any orientation. When spinning, the orientation of the spin axis ...

11.14 : Gyroscope: Precession

11.14 : Gyroscope: Precession

Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a ...

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