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Find the resultant of the following forc...

Find the resultant of the following forces.
`[sin 37^(@) = (3)/(5) ,cos 37^(@) = (4)/(5) , sin 53^(@) = (4)/(5) , cos 53^(@) = (3)/(5)]`

Text Solution

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Resolve the inclined vectors.

Now combine the components in x and directions, by taking the proper sing.
`F_(x)=4-6+8=6`
`and F_(y)=3+8-3=8`
resultant force ', `F=sqrt((6)^(2)+(8)^(2)=10N)`
Direction of force,tantheta`=(F_(y))/(F_(x))=(8)/(6)=(4)/(3)impliestheta=53^(@)`

The resultant of these is 10N at`53^(@)`with the positive X-axis.
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