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Two forces of magnitudes 3 units and 5 u...

Two forces of magnitudes 3 units and 5 units act at `60^(@)` with each other. What is the magnitude of their resultant ?

Text Solution

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Given `bar(P) = ` 3 units , `bar(Q)` = 5 units and `theta = 60^(@)`
` :. R = sqrt(P^(2) +Q^(2) + 2PQ cos theta)`
`= sqrt(3^(2) + 5^(2) + 2 (3) (5) cos 60^(@))`
` = sqrt(9 + 25 + 30 xx (1)/(2)) = sqrt( 49 ) = 7 ` units .
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