# Two equal forces are acting at a point with an angle of 60° between them. If the resultant force is equal to 20√3 N, find the magnitude of each force.

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by jeevanGavde

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by jeevanGavde

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= 2Fcos(Ф/2)

20√3 = 2Fcos(60/2)

10√3 = F√3/2

F = 20 N

hence magnitude of each force = 20 N

here α is 60* and both A and B are equal...let them be x....

= 20√3

2x²+2x²(1/2) = 1200

3x² = 1200

x² = 400

x = 20

therefore magnitude of each of the forces is 20N...

thanks for reading......:)