- #1

- 10

- 0

Here's the problem I have:

A block of mass

*m*slides down a frictionless track, then around the inside of a circular loop-the-loop of radius R. What minimum height

*h*

must the block have to make a full run around the loop without falling off? The answer is to be given as a multiple of R.

I think that this problem should be easy, but I guess I'm not seeing the right angle of approach yet. I know that the minimum speed for the coaster to make a full run would be sqrt(Rg), and I think that the solution could be obtained though KE (1/2mv^2) and PE(mgh) laws. However, I can't see the right place to start on this one. If anyone can give me a pointer in the right direction, I would appreciate it. I am certainly not looking for a free solution, just a hint or two would be great.

Thanks

Jordan