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The system shown in figure is in equilib...

The system shown in figure is in equilibrium. Find the magnitude of tension in each string, `T_(1), T_(2), T_(3)` and `T_(4) ( g = 10 m//s^(-2))`

Text Solution

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F.B.D. of block

`T_(0)=10g`
`T_(0)=100N`
F.B.D. of point 'A'
`SigmaF_(y)=O`
`T_(2)cos30^(@)=T_(0)=100N`
`T_(2)=(200)/(sqrt(3))N`
`SigmaF_(x)=O`
`T_(1)=T_(2)sing30^(@)=(200)/(sqrt(3)).1/2=(100)/(sqrt(3))N`.

F.B.D. of point of 'B'
`sigmaF_(y)=OrArrT_(4)cos60^(0=T_(2)cos30^(@)`

and `SigmaF_(x)=OrArrT_(3)+T_(2)sin30^(0)=T_(4)sin60^(0)`
`:.T_(3)=(200)/(sqrt(3))N,T_(4)=200N`
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