Contents
How is the motion of a rigid body computed?
The motion of a rigid body is computed by dividing motion into two parts:—translation and rotation—as shown in Figure 29-2. Translation describes the motion of the center of mass, whereas rotation describes how the rigid body rotates around the center of mass.
What is the name of the force between charged bodies at rest?
The electric force between charged bodies at rest is conventionally called electrostatic force or Coulomb force. The quantity of electrostatic force between stationary charges is always described by Coulomb’s law.
How is Coulomb’s law extended to a system of discrete charges?
System of discrete charges. The [superposition principle|law of superposition] allows Coulomb’s law to be extended to include any number of point charges. The force acting on a point charge due to a system of point charges is simply the vector addition of the individual forces acting alone on that point charge due to each one of the charges.
How is the superposition principle related to Coulomb’s law?
The [superposition principle|law of superposition] allows Coulomb’s law to be extended to include any number of point charges. The force acting on a point charge due to a system of point charges is simply the vector addition of the individual forces acting alone on that point charge due to each one of the charges.
Can a GPU be used for rigid body simulation?
Section 29.1 outlines our approach and Section 29.2 provides a detailed description of its implementation on the GPU. Several studies use GPUs to accelerate physically based simulations, such as cellular automata (Owens et al. 2005), Eulerian fluid dynamics (Harris 2004), and cloth simulation (Zeller 2005).
Why does the rigid body get distorted with time?
The most important reason is that a rotation matrix accumulates nonrotational motion with time because a matrix represents not only rotation, but also stretch. Therefore, numerical errors that add up during repeated combinations of rotation matrices cause the rigid body to get distorted.
What causes variation in rigid body angular momentum?
A force F that acts at some point of a rigid body that is different from the center of mass can also cause a variation of the rigid body’s angular momentum L. This variation depends on the relative position r of the acting point to the center of mass. More precisely, the time derivative of L is the torque that is the cross-product of r and F: