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Question

Consider three blocks of mass m1,m2,m3 have been interconnected by strings, which are being pulled by a common force F on a frictionless horizontal table as shown in the figure. The tension T1 and T2 are also indicated.
a) T2>T1 if m2>m1
b)
T2=T1 if m2=m1
c) T2>T1 always
d) acceleration of the system =Fm1+m2+m3
Which of the above are true?
3438.png

A
a, b
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B
b, d
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C
a, d
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D
c, d
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Solution

The correct option is D c, d
For boundary 1, F=ma=(m1+m2+m3)a where a= net acceleration of the system.
a=Fm1+m2+m3
Boundary 2, T2=(m1+m2)a
Boundary 3, T1=m1a.
Therefore T2 is always greater than T1.

104964_3438_ans.png

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