the resultant of two forces has magnitude 20N .one of the forces is of magnitude 20√3 and makes an angle of 30 with resultant.Then the magnitude of the other force is:
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❗❗ Hey Mate ❗❗
your answer is --
Let, Q be the unknown forces
Q + 20√3 = 20
=> Q = 20 - 20√3
=> Q^2 = (20 - 20√3)^2
=> Q^2 = 400 + 1200 - 800√3 cos30°
=> Q^2 = 1600 - 800√3 × √3/2
=> Q^2 = 1600 - 1200
=> Q^2 = 400
=> Q = 20 N
Hence, magnitude of second force is 20N.
【 Hope it helps you 】
your answer is --
Let, Q be the unknown forces
Q + 20√3 = 20
=> Q = 20 - 20√3
=> Q^2 = (20 - 20√3)^2
=> Q^2 = 400 + 1200 - 800√3 cos30°
=> Q^2 = 1600 - 800√3 × √3/2
=> Q^2 = 1600 - 1200
=> Q^2 = 400
=> Q = 20 N
Hence, magnitude of second force is 20N.
【 Hope it helps you 】
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