How to Solve Angular Kinetics Problem with Inclined Plane and Hoop Release

[Mdhiggenz]

Homework Statement

A hoop is released from rest at the top of a plane inclined at 16 above horizontal. How long does it take the hoop to roll 16.4 m down the plane?

Homework Equations

The Attempt at a Solution

I know I have to find the final velocity, I know the Inertia is = to

I=MR²

v₀=0

Δx=16.4

I also know I need to incorporate some form of constant acceleration or constant angular acceleration to find t.

Im just so confused on how to begin..

Thank you

 

[gneill]

Consider conservation of energy; The hoop is going downhill, so it's losing height. What's the change in PE? Where does this ΔPE end up? (assume that the hoop rolls and doesn't slip) Can you determine the final velocity from this?