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Homework Statement
The given system is released from rest. Assuming no friction, massless pulleys and ideal strings; calculate the accelerations of the pulleys.
Homework Equations
Constraint equations.
F=ma
The Attempt at a Solution
And applying constraints to the longer string, we have;
a_{1} + a_{0} + a_{0} + 2a_{2}  a_{0} = 0
=> a_{0} + 2a_{2} = a_{1} ~~~~~~~~~~~~~~~~~~ (1)
Now doing force balancing on m_{1};
m_{1}a_{1} = T  m_{1}g ~~~~~~~~~~~~~~~~~ (2)
similary on m_{2};
m_{2}a_{2} = m_{2}g  2T ~~~~~~~~~~~~~~~~~~ (3)
For four variables a0, a1, a2 & T; we only have three equations, but we will neeed four. I'm not sure how to get the fourth.
I would greatly appreciate any hint/help.
Thank You...
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