- #1
hitemup
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Homework Statement
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The double Atwood machine has frictionless, massless pulleys and cords. Determine the acceleration of masses mA,mB,mC, and the tensions in the cords.
Homework Equations
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F=ma
The Attempt at a Solution
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First I looked down the bottom section. Assuming mB> mA
mB*g - FTA = mB*a
FTA - mA*g = mA*a
I got the following from the equations above, so I think this must be the acceleration for the masses A and B.
aA,B = g* (mB - mA)/(mB + mA)
Now Assuming mC*g>FTC
mC*g - FTC = mC*a
This is where I choked. What should be the second equation for this pulley? FTC = 2FTA?
If I were to find FTA in terms of mA, mB, and aA,B, would that be enough for aC's equation?