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Homework Statement
A hollow cylinder (hoop) is rolling on a horizontal surface at speed v=3.3m/s when it reaches a 15 degree incline. How far up the incline will it go? How long will it be on the incline before it arrives back at the bottom.
Homework Equations
SOH CAH TOA
MGH=KEtrans +KErot
w=v/r
x=theta*r
[tex]\omega[/tex]^2=wo^2 +2[tex]\alpha[/tex][tex]\vartheta[/tex]
The Attempt at a Solution
I have finished the first part of the problem and solved for 4.3 m using conservation of energy and a little trig. The second part is giving me trouble because I'm not sure if I calculated the radius of the hoop correctly (.525m) which could be throwing off my substitutions and calculations. I used the last equation listed with 2[tex]\pi[/tex] for theta. I know the time should be 5.2 seconds but I'm doing something wrong. I know i have to relate speed and time where vf=0 and take that time and multiply is by 2 to get the total time on ramp. Please help?