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henry3369
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Homework Statement
http://imgur.com/jcZRQdu
Homework Equations
The Attempt at a Solution
So I know how to solve this with conservation of energy, but I can't seem to get the correct answer using kinematic equations.
τnet = Iα = (MR2*(a/R))
-Tension = MRa
Fnet = ma
w-Tension = ma
-Tension = ma - mg
Plugging this into the first equation:
ma-mg = MRa
a-g = Ra
a = g/(1-R)
a = 9.8/(1-0.0800) = 10.65 m/s2
vinitial = 0
a = 10.65 m/s2
Δy = 0.45 m
vfinal = ?
vfinal2 = vinitial2 + 2aΔy
vfinal = sqrt(2aΔy)
vfinal = 3.096 m/s
v = rω
ω = v/r = 3.096/0.0800 = 38.7 rad/s
Correct answer: 26.3 rad/s
Again, I know this can be solved with conservation of energy, but I'm trying to figure it out with kinematic equations.
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