# Force in a function of angle

1. Oct 9, 2012

### Gloyn

Hello!

I've been doing some excercises in mechanics and stopped for a moment over the thing that sometimes bothers me. I have a set of particles of masses M and m, M>m. If I have force acting on m particle as a function of angle:

F=(Mmg(1+cos$\alpha$))/(M+m)

(m is moving in on the surface of a verticle circle of radius R, powered by the falling M particle, both particles are connected by a string)

is there a way to determine the velocity of particle in a point described by coordinates ($\alpha$;R)? If force was in funtction of time, that would be obvious, but what about the function of the coordinate?

2. Oct 9, 2012

### Staff: Mentor

Hmm, your force looks strange. However, if you know F(alpha), you can determine a potential and get v(alpha) via energy conservation.