(adsbygoogle = window.adsbygoogle || []).push({}); 1. There's a pulley with a larger mass (m1) on one side, and a smaller mass (m2) on the other side. What is the magnitude of acceleration of the masses?

2. I think this is going to use conservation of energy equations: U = mgy and K = (1/2)mv^2

3. I began by setting up these equations:

D = delta

f = final i = initial

DUm1 + DKm1 = 0

DUm2 + DKm2 = 0

DUm1 + DKm1 = DUm2 + DKm2

(Um1f - Um1i) + (Km1f - Km1i) = (Um2f - Um2i) + (Km2f - Km2i)

(0 - Um1i) + (Km1f - 0) = (Um2f - Um2i) + (Km2f - 0)

(-m1gy1i) + ((1/2)m1v1^2 = (m2gy2f - m2gy2i) + ((1/2)m2v2^2

Now I think -v1 = v2, and so v1^2 = v2^2

I can move a couple things around:

m1((1/2)v^2 - gy1i) = m2((1/2)v^2 + gy2f - gy2i)

But I'm not sure this gets me anywhere. Any thoughts? Thank you again for your help.

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# Homework Help: Magnitude of Acceleration of Masses

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