# Translational Speed

1. Nov 12, 2008

### Bones

1. The problem statement, all variables and given/known data
Calculate the translational speed of a cylinder when it reaches the foot of an incline 11 m high. Assume it starts from rest and rolls without slipping.

2. Relevant equations

3. The attempt at a solution
How do you find the speed when you only have the height of the incline?

2. Nov 13, 2008

### LowlyPion

The height gives you potential energy.

You get KE at the bottom, but be careful you also have rotational KE in the cylinder since it rolled without slipping.

3. Nov 13, 2008

### Bones

I am not sure what the equation is. The only one I found was v=sqrt 10/7gH which was not right.

4. Nov 13, 2008

### LowlyPion

Show your equations and perhaps we can see where you are going wrong.

5. Nov 13, 2008

### Bones

There's this one: 1/2Mv^2+1/2Icm(omega)^2+Mgy
But I am not sure where to get all this information from just having the height of the incline.

6. Nov 13, 2008

### LowlyPion

Ok. You have your potential energy. And at the bottom what's happened to that PE? It's become KE for this problem. So whjat you have then is

m*g*h = Σ KE = 1/2 m*v2 + 1/2*I*ω2

But what is ω ? Happily ω = v/r

Why happily? Because the moment of inertia also will have a term that relates to r.

Why don't you look up the moment of a cylinder and solve the rest of the problem?

7. Nov 16, 2008

### Bones

The moment of inertial for a cylinder is 2/5Mr^2, but I am still not sure how to solve this. I keep getting 12.4m/s which is not correct.

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