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Two bodies with masses m(1) and m(2) gt ...

Two bodies with masses `m_(1)` and `m_(2) gt m_(1)` connected by a thread lie on a smooth table. A force Q is first applied to the larger and then to the smaller of the bodies (Fig.). Is the tension of the thread in both cases the same?

Text Solution

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The correct Answer is:
It is greater in the second case.

The equations of motions for the case shown in Fig. are of the form
`Q-F_(1)= m_(2)a, F_(1)=m_(1)a`
from which we get
`F_(1)= Q m_(1)//(m_(1)+m_(2))`
If the force is applied to the smaller body, the string tension would become
`F_(2)= Q m_(2)// (m_(1)+m_(2)) gt F_(1)`
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