Circular Motion with Constant Speed
System:
Point particle moving in a circle of radius R at constant angular speed ω. (Requires a net force of constant magnitude and direction radially inwards to the circle, i.e no force component in the direction tangent to the velocity.)
Description of the system:
- Object in the system: point particle.
...
- Environment: external agents interacting with the particle which are the responsible of the real forces acting on the particle.
Description of the Interactions:
- Because we are describing the motion of a point particle we only consider force from outside the interactions as the cause of the acceleration. The total force acting on the point particle has a constant magnitude and direction pointing towards the center of the circle.
Multiple Representations and geometric description.
- Position of the particle with respect to a reference frame, in general the center of the circle: or q(t). Use of Cartesian and polar coordinates system.
- Motion Diagrams, tables, equations, vectors.
Law of Change (*describe the change of the state variables)*
where are vectors of constant magnitude and rotates with a constant angular velocity w.
Definitions and procedures:
Angular velocity w (rad/sec)
...