- #1
robertmatthew
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Homework Statement
Three uniform objects: a ring, a disk, and a sphere all have identical masses and radii. They are released simultaneously from the top of a ramp 3.80 meters in LENGTH. If the ramp is inclined at θ= 17.0°, use conservation of energy to calculate the linear speed of the ring, disk and sphere.
Homework Equations
Ei=Ef
Iring = mr2
Idisk = (mr2)/2
Isphere = (2mr2)/5
The Attempt at a Solution
Ui + Ki = Uf + Kf
mgh = (1/2)Iω2f + (1/)mv2f <--initial K and final U are zero
then substituting I for Iring
mgh = (1/2)((mr2)(vf)/(r)) + (mv2f)
masses cancel, pulled out 1/2
gh = (1/2)(rvf + v2f)
But that's as far as I can get before I can't understand it.