Kinetics of Rigid Bodies: The instantaneous center is the point in the rigid body about which the total momentum is concentrated instantaneously, as if concentr...
Kinetics of Rigid Bodies:
The instantaneous center is the point in the rigid body about which the total momentum is concentrated instantaneously, as if concentrated at that point. It is located at the geometric center of mass of the rigid body, which is the point about the center of mass that would have the same total mass of the body.
The instantaneous center is important in analyzing the motion of rigid bodies and calculating forces and moments that act on the body. It is also used in determining the center of percussion, which is the point about the body that will experience maximum acceleration due to external forces.
In addition, the instantaneous center is useful for understanding the effects of inertia on the motion of rigid bodies. For example, if the instantaneous center is located outside the center of mass, the body will experience a greater acceleration than if it were located within the center of mass