In a circus performance, a large 5.0 kg hoop of radius 3.0 m rolls without slipping. If the hoop is given an angular speed of 3.0 rad/s while rolling on the horizontal and allowed to roll up a ramp inclined at 10° with the horizontal, how far (measured along the incline) does the hoop roll?


m

1 answer

Total KE before is 1/2 mv^2 + 1/2 I ω^2
Have to look up I for a hoop and v is rω
Turn that total into mgh where h is d sin 10