# SHM equations from the motion of a point moving in a circle

A point p moves in a circle of radius R, at constant angular velocity w. The origin of an x axis is at the center of the circle. Represent as vectors, the location, the velocity and the acceleration of point p, then show the x direction projection of these three vectors to represent the location, the velocity and the acceleration of a point which executes Simple Harmonic Motion, SHM.

See ATTACHMENT1 for a diagram.

https://brainmass.com/physics/velocity/shm-equations-motion-point-moving-circle-18304

#### Solution Preview

SEE ATTACHMENT2 TO OBSERVE THE FOLLOWING;

Vectors R, Vp and ap, are the location, velocity and acceleration of point p moving on a circle at constant angular velocity w.

The x direction components of the motion of point p, are defined as the motion equations of a point executing Simple Harmonic Motion, SHM.

Note 1. Note that point p, ...

#### Solution Summary

The simple harmonic motion equations from the motion of a point moving in a circle are determined. The vectors represented are given.