- #1
Randomized10
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- Homework Statement
- An 8.6-cm-diameter, 320 g solid sphere is released from rest at the top of a 1.7-m-long, 17 degree incline. It rolls, without slipping, to the bottom. What is the angular velocity of the sphere at the bottom?
- Relevant Equations
- I=2/5MR^2
LKE=1/2Mv^2
RKE=1/2Iomega^2
mgh=LKE+RKE
I did some algebra and got the final equation mgh=1/2MR^2omega^2+1/2(2/5MR^2)omega^2, then plugged in the numbers and got an omega value of 111.09. Using 1.7 as h instead of cos(17)*1.7=1.63 I got 114.09. Both answers were wrong. Am I missing something, or did I just screw up the math?