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Chapter 11

Dynamics of Rotational Motions

Torque
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 ...
Net Torque Calculations
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 ...
Equation of Rotational Dynamics
Equation of Rotational Dynamics
Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic ...
Rolling Without Slipping
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 ...
Rolling With Slipping
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 ...
Work and Power for Rotational Motion
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 ...
Work-Energy Theorem for Rotational Motion
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 ...
Angular Momentum: Single Particle
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 ...
Angular Momentum: Rigid Body
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 ...
Conservation of Angular Momentum
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 ...
Conservation of Angular Momentum: Application
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 ...
Rotation of Asymmetric Top
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 ...
Gyroscope
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 ...
Gyroscope: Precession
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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