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Q.

Two horizontal forces of magnitudes 10 N & P N act on a particle. The force of magnitude 10 N acts due west & the force of magnitude P N acts on a hearing of 300 east of north as shown in figure. The resultant of these two force acts due north. Find the magnitude of this resultant.

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a

102 N

b

153

c

125 N

d

103 N

answer is D.

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Detailed Solution

Resultant acts along y-axis⇒Px = P cos 600 = 10 N or P2 = 10 or P = 20Resultant Py = P sin600 = 20×32 = 103 N

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Two horizontal forces of magnitudes 10 N & P N act on a particle. The force of magnitude 10 N acts due west & the force of magnitude P N acts on a hearing of 300 east of north as shown in figure. The resultant of these two force acts due north. Find the magnitude of this resultant.