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Question

One of the two forces is double and the other resultant is equal to the greater force. The angle between then is

A
cos1(1/2)
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B
cos1(1/2)
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C
cos1(1/4)
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D
cos1(1/4)
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Solution

The correct option is D cos1(1/4)
Let the smaller force is F
so bigger force is 2F
resultant (R)=2F
R2=F2+(2F)2+2×F×2Fcos(x) (its a formula)
4F2=F2+4F2+4F2cos(x)4F2cos(x)=F2cos(x)=14x=cos1(14)
Option D is correct.

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