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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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Let P = 3 units, Q = 5 units, `theta = 60^(@)`
Resulant `(R) = sqrt(p^(2) + Q^(2) + 2PQ cos theta)`
`= sqrt(3^(2) + 5^(2) + 2 xx 3 xx 5 xx cos 60^(@))`
`= sqrt(9 + 25 + 15 0 xx (1)/(2)) = sqrt(49) = 7` units.
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