# Homework Help: Rolling without slipping, shouldn't there be friction?

1. Nov 19, 2015

### Warlic

A clown balances a small, spherical grape at the top of his bald head, which also has the shape of a sphere. After drawing sufficient applause, the grape starts from rest and rolls down without slipping. It will leave contact with the clown's head when the radial line joining it to the curvature makes what angle with the vertical?

This is the solution; normal force must be zero:

What I dont understand is, they say that mechanical energy is conserved. But shouldn't there be a friction force doing work on the grape as it rolls downwards?

2. Nov 19, 2015

### Staff: Mentor

Does friction act? Yes. But does it do any work? Remember: It's rolling without slipping, so what kind of friction is it?

3. Nov 19, 2015

### Warlic

It's gonna be static friction? But then what kind of work does it do?

4. Nov 19, 2015

### haruspex

A force only does work if it moves something. Friction can be confusing because you need to concentrate on the surfaces in contact, ignoring whatever other motion there is. In rolling contact, the surfaces do not move relative to each other, so the friction does no work.

5. Nov 19, 2015

### Staff: Mentor

Right.

No kind!

6. Nov 19, 2015

### Warlic

But then what makes a wheel go forwards on the ground? Isn't it friction force?

7. Nov 19, 2015

### Staff: Mentor

If it's accelerating, yes. But that doesn't mean that the friction force does work. (It can be said to do pseudowork or center of mass work, but that's more an application of Newton's 2nd law than a statement about energy.)