Solve Kinematic Problem with Friction Along Curve | Mass Included

[mrh584]

Please see the attached problem I came up with. I've done similar problems to this in school, but never with the frictional force acting along a curve. I'm wondering if my solution is valid, or if the integral needs some work?

And I just realized I left out the mass [M] in the normal force equation, and all other equations that use it.

 

[rl.bhat]

Your solution is wright. Find the integral and substitute the limits,and get the result..