# Direction of acceleration of a yo-yo

1. Apr 15, 2010

### mybrohshi5

1. The problem statement, all variables and given/known data

A yo-yo is placed on a table with a rough horizontal surface. the string is wound around the center of the yo-yo several times. The string is held so that it exits the yo-yo horizontally on the lower side of the stem. The string is then pulled horizontally with a force of magnitude F.

Assume the yo-yo rolls without slipping.

What is the direction of the acceleration of the center of mass of the yo-yo when pulled?

3. The attempt at a solution

I thought the yo-yo would roll in the opposite direction of the pulling force therefore making the acceleration opposite in direction of the pulling force.

Does this sound right?

I wish i had a yo-yo to test this one out :(

thanks for any help

2. Apr 15, 2010

### PhysicsFishy

I think you mean that the direction of acceleration would be in the opposite direction of the pulling force, correct? I think that you also need to keep the rotation of the yo-yo in mind when you do this problem. I'm sure someone else knows better than I do...

3. Apr 15, 2010

### mybrohshi5

Yes i believe that the acceleration of the center of mass of the yo-yo is opposite in direction of the pulling force.

i solved the problem right i am just having trouble figuring out the direction of the acceleration of the center of mass of the yo-yo.

Can anyone verify or critique my answer?

thank you :)

4. Apr 15, 2010

### NeoDevin

What are all the forces acting on the center of mass, and their directions?

5. Apr 15, 2010

### mybrohshi5

The pulling force which i am saying is to the right.

The force of friction is also to the right.

does that sound like all of them?

so if all the forces are to the right would the acceleration of the center of mass be to the right?

6. Apr 15, 2010

### NeoDevin

Why would the force of friction be to the right? The force of friction will oppose (but never exceed in magnitude) the rest of the forces. If the only other force is to the right, then the force of friction must be to the left.

7. Apr 16, 2010

### mybrohshi5

yes you are right. i was thinkin wrong. so the pull force is the the right and the friction force is to the left so the acceleration of the center of mass of the yo-yo should be in the same direction as the pull force i believe :)

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