Tension

when a heavy rope is hanging from its supports as shown in figure

what is the tension in the middle of the string

13 Answers

1
Philip Calvert ·

can you give the angles

11
Subash ·

angle made by the rope on either side with the vertical is theta

1
Philip Calvert ·

t=mg/2cosθ

11
Subash ·

this is the correct figure

and the ans is mg/2tantheta

1
prateek punj ·

i'm getting the ans mg/2tan(theta)

1
Philip Calvert ·

you told the angle with the vertical [11]

1
Philip Calvert ·

but how tanθ it should be sinθ

2Tsinθ = mg ??[7]

1
prateek punj ·

no the ans is in tanθ

11
Subash ·

@philip i gave u the wrong angle sry

@prateek ur ans is correct can u post the method

1
prateek punj ·

@ subhash
i don't think the θ given by u earlier was wrong....

11
Subash ·

the correct diagram is the second one

and the ans is mg/2tantheta

1
prateek punj ·

if we consider the right portion of the wire....
the vertical component of tension at the point where the string is hanged by the wire is Tsinθ and the horizontal component is Tcosθ(towards right).....
where T=tension on the wire due to wall.....

NOW,
Let, the tension at the middle point of wire will be T'....
and the direction of tension will be horizontal towards left....
since it is equilibrium....

Tsinθ=mg/2

Tcosθ=T'
Solving the two eqn we can calculate T'.....

1
prateek punj ·

check this out.....
is this not to be pinked....
guys many of my posts are not been pinked though they r useful....

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