Three identical blocks, each of mass 10 kg, are pulled as shown on the horizontal frictionless surface. If the tension (F) in the rope is 30N. What is the acceleration of each block? And what are the tensions in the other ropes?
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Solution
Free body diagram of the given system:
Given: mA=mB=mC=10kg
For block A, T1=10a ..(1)
For block B, T2−T1=10a…(2)
For block C, 30−T2=10a …(3)
Add (1) and (2), T2=20a ..(4)
Substitute T2 in (3), => a = 1ms−2
Substitute value of a in (1) and (4), we get T1=10N and T2=20N