Q.

The resultant of two forces 3 P and 2 P is R. If the first force is doubled, then the resultant is also doubled. The angle between the two forces is

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a

60°

b

120°

c

30°

d

135°

answer is B.

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Detailed Solution

R=(3P)2+(2P)2+2(3P)(2P)cosθ2R=(6P)2+(2P)2+2(6P)(2P)cosθSolving these two equations, we getcosθ=-12θ=120°
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The resultant of two forces 3 P and 2 P is R. If the first force is doubled, then the resultant is also doubled. The angle between the two forces is