- #1

Telemachus

- 835

- 30

## Homework Statement

Hi. I have this problem:

A particle of mass m, rests on top of a frictionless sphere of radius R. Admitting that part from the rest for the position indicated in the figure along a path contained in a vertical plane.

Get the value of the angular coordinate at the instant the body leaves the surface of the sphere.

A particle of mass m, rests on top of a frictionless sphere of radius R. Admitting that part from the rest for the position indicated in the figure along a path contained in a vertical plane.

Get the value of the angular coordinate at the instant the body leaves the surface of the sphere.

In the first place I thought: [tex]N-mg\cos\theta=0\Rightarrow{N=mg\cos\theta}[/tex]

And then [tex]N=0\Leftrightarrow{mg\cos\theta=0}\Leftrightarrow{\cos\theta=0}\Leftrightarrow{\theta=\frac{\pi}{2}}[/tex]

But now I'm not sure about this. I think that the angle could be before [tex]\theta=\frac{pi}{2}[/tex], because of the inertia. But I don't know how to raise the problem this way.

Bye there.