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Find the magnitude of the unknown forces...

Find the magnitude of the unknown forces `X` and `Y` if sum of all forces is zero.

Text Solution

Verified by Experts

The correct Answer is:
`(5,10)`

`Sigmavec(F)=0`
`rArr (y cos 37^(@)hat(i)+y sin37^(@)hat(j))+(5cos53^(@)(-hat(i))+5sin53^(@)hat(j))+(x(-hat(i)))+10(-hat(j)))=0`
`rArr((4y)/(5)-3-x)hat(i)+((3y)/(5)+4-10)hat(j)=0hat(i)+0hat(j)`
Comparting coefficients of `hat(i) & hat (j)` both sided - `(4y)/(5)-x=3` .......`(i)`
`(3y)/(5)=6 rArr y=10`
Putting `8-x=3rArrx=5`
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