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**Object rolling off a sphere...**

## Homework Statement

A small object begins at the top of a frictionless solid sphere. Its initial speed is negligibly small. The sphere is stationary at all times. The small object then slides down the surface of the sphere. At one point the small object loses contact with the sphere. Draw a line from this point to the center of the sphere. What is the angle between this line and the horizontal?

## Homework Equations

## The Attempt at a Solution

I have no idea how to get this started. Any hints on where to go with this?