- #1
spacetime
- 119
- 2
For what form of a central force is the motion of a body exactly circular?
Any form where the potential is a function only of r has a particular solution that is a circle.spacetime said:For what form of a central force is the motion of a body exactly circular?
spacetime said:For what form of a central force is the motion of a body exactly circular?
Central force in circular motion refers to a force that acts towards the center of a circular path, causing the object to move in a circular motion.
Central force is the actual force that causes the object to move in a circular path, while centripetal force is the net force that acts towards the center of the circular path. Central force is a specific type of centripetal force.
Examples of central force include gravity, magnetic force, and electrostatic force. These forces act towards the center of the circular path and cause objects to move in a circular motion.
Central force is directly related to circular motion because it is the force that keeps an object moving in a circular path. Without central force, an object would continue in a straight line instead of moving in a circular motion.
The mathematical representation of central force is F = -k/r^2, where F is the force, k is a constant, and r is the distance from the center of the circular path.