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Question

A uniform rod of length l and mass m is hung from two strings of equal length from a ceiling as shown in figure. Determine the tensions in the strings?


A
TA=2mg3; TB=mg3
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B
TA=mg3; TB=2mg3
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C
TA=TB=mg2
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D
TA=mg3, TB=mg4
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Solution

The correct option is B TA=mg3; TB=2mg3
Let us assume that tension in left and right string is TA and TB respectively.

The rod is in equilibrium, then Fnet=0 and τnet=0

From, Fnet=0
mg=TA+TB ...(1)


From τnet=0 about A,
mgl23l4TB=0
TB=2mg3

So, from eq. (1),
TA+2mg3=mg
TA=mg3

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