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An object of mass m1 hangs a string that passes over a very light fixed pulley P1 as shown. The string connects to a second very light pulley P2. A second string passes around this pulley with one end attached to a wall and the other to an object of mass m2 on a frictionless, horizontal table. Find the expression for the tensions in the string .

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Answer #1
T1 for m1 pulley
and T2 for m2 pulley
m2g-T2=m2a
T2-2T1=m1a/2
SInce from string constraint 2x1=x2
=>2a1=a2=a
=>a1=a/2

=>T2=m2(a+g)
and T1=(T2+m1a/2)/2
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