The movement of a rigid object can be understood through the equations that explain both translational and rotational motion about the center of mass of the object, point G. This center of mass is the point where the equation of motion for translational motion comes into play, as per Newton's Second Law.
The combined moments generated about the center of mass of the object are equal to the rate of change of the angular momentum of the body. An external force, when applied at a different point other than the center of mass of the object, causes the body to rotate and generates a moment.
The angular momentum of this point is articulated as a vector product, incorporating its relative position and velocity with respect to the center of mass of the object. The derivative of angular momentum with respect to time provides us with the moment generated at a point where an external force is applied. By summing the moments of all points within the rigid body, one can calculate the total moment of the system about the center of mass of the object.
From Chapter 16:
Now Playing
3-Dimensional Kinetics of a Rigid Body
134 Views
3-Dimensional Kinetics of a Rigid Body
242 Views
3-Dimensional Kinetics of a Rigid Body
165 Views
3-Dimensional Kinetics of a Rigid Body
143 Views
3-Dimensional Kinetics of a Rigid Body
99 Views
3-Dimensional Kinetics of a Rigid Body
109 Views
3-Dimensional Kinetics of a Rigid Body
76 Views
3-Dimensional Kinetics of a Rigid Body
99 Views
3-Dimensional Kinetics of a Rigid Body
117 Views
3-Dimensional Kinetics of a Rigid Body
330 Views
ABOUT JoVE
Copyright © 2025 MyJoVE Corporation. All rights reserved