The given system is released from rest. Assuming no friction, mass-less pulleys and ideal strings; calculate the accelerations of the pulleys.
The Attempt at a Solution
And applying constraints to the longer string, we have;
-a1 + a0 + a0 + 2a2 - a0 = 0
=> a0 + 2a2 = a1 ~~~~~~~~~~~~~~~~~~ (1)
Now doing force balancing on m1;
m1a1 = T - m1g ~~~~~~~~~~~~~~~~~ (2)
similary on m2;
m2a2 = m2g - 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.
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