Chapter 16

3-Dimensional Kinetics of a Rigid Body

The calculation of the moment of inertia for a differential element within a rigid body involves multiplying the element's mass by the square of…

The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is…

The moment of inertia is typically associated with principal axes, but it can also be computed for any random axis. When an arbitrary axis is under…

Imagine a rigid body with a mass denoted as 'm', which has its center of mass at point G and is rotating around an inertial reference frame.…

The concept of angular momentum for a solid structure is illustrated as the cumulative result of the cross-product of the position vector of the mass…

When one considers a rigid body undergoing a plane motion, which is essentially a blend of translational and rotational movement, the application of…

Imagine a solid object involved in a general planar movement, with its center of mass pinpointed at a spot labeled G. The object's kinetic energy…

The movement of a rigid object can be understood through the equations that explain both translational and rotational motion about the center of mass…

Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second…

The torque-free motion refers to the movement of a rigid body in space when no external torques are acting upon it. This type of motion can be…

Kinematic analysis is a powerful method for objective assessment of upper extremity movements in a three-dimensional (3D) space. Three-dimensional…

Experimental methods are presented for measuring the rotational and translational motion of anisotropic particles in turbulent fluid flows. 3D…

Single-molecule techniques make it possible to investigate the behavior of individual biological molecules in solution in real time. These techniques…