A body of mass 25 kg is supported by two strings whose lengths
are 3 m and 4 m respectively. Strings are supported from two
points in a horizontal line 5 metres apart. Find the tension in each
string.
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PHYSICS
A body weighing 13 kgf is suspended by two strings 5 m and 12 m long, their other ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings T
1
and T
2
are respectively-
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ANSWER
From the figure,
sinθ=
13
5
cosθ=
13
12
The horizontal force on the body balance each other.
Thus T
1
cosθ=T
2
cos(
2
π
−θ)
⟹T
1
cosθ=T
2
sinθ
Also the vertical components balance each other,
⟹13kgf=T
2
cosθ+T
1
sin(
2
π
−θ)
⟹13kgf=T
2
cosθ+T
1
sinθ
⟹T
1
=5kgf
T
2
=12kgf
solution
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