Anglar motion, where do i start

[jsm6252]

Homework Statement

How do i work out the final position and x,y velocities of a single point on a cartesian plane after it rotates around another point. We are given an initial x,y velocity.

Homework Equations

unknown at this stage

The Attempt at a Solution

 

[obafgkmrns]

The easiest way (in my opinion) is with complex algebra. Find the position of your single point with respect to the rotation center and express it as x + iy. Express the velocity as Vx + iVy. Multiply each by cos(ang) + i sin(ang) where ang is the angle of rotation. Transform the resulting x & y values back to the original origin. (The rotated velocity is ok as it is.)

 

[jsm6252]

thank you
i'll try and do some research