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Two bodies weighing 300N and 450N are hung to the two ends of a rope passing over an ideal pulley as shown in fig. With what acceleration will the heavier body come down? What is the tension in the string?

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Let 450N block moves down, 

Consider the motion of 450N block, 

Apply the equation, F = ma 

450 – T = (450/9.81) a 

450 – T = 45.87a ...(i) 

Consider the motion of 300N block, 

Apply the equation, F = ma 

T - 300 = (300/9.81) a 

T - 300 = 30.58a ...(ii)

 Add equation (1) and (2) 150 = 76.45a 

a = 1.962m/sec

 Putting the value of a in equation (i), we get 

T = 360N

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