Calculate the acceleration of the masses 12 kg shown in the setup of fig. Also calculate the tension in the string connecting the 12 kg mass. The string is weightless and inextensible, the pulleys are weightless and frictionless
Text Solution
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Let the tension in the string connecting 4 g be ' T ' and its acceleration be ' a '. Then, Tension in string connecting 12 kg is ' 2 T '.
Also, acceleration in string connected to 12 kg is 
.
Using Newton's Law, 
on 4 kg mass.
Again on 12 kg mass,
Adding above two equations, we get
Now, Using
That is,
Required Tension 
.
Required Acceleration 
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