If the resultant r divides the angle between the two forces p & q in the ratio 1:2 then

1	Share this answer

your answer is correct and give me your solution pic

Scholr is India's Largest Knowledge Sharing Platform. Send Your Questions to Experts.

Ask

Was this answer helpful?

3 (2)

Thank you. Your Feedback will Help us Serve you better.

Was this answer helpful?

0 (0)

Thank you. Your Feedback will Help us Serve you better.

Text Solution

`tan^(-1)((1)/(2)) ``45^(@) ``30^(@)` `60^(@)`

Answer : A

Solution : `tan alpha =(Q sin theta)/(P+Q cos theta) ` <br> `sqrt(3)/2 =(sin theta )/((P)/(Q)+cos theta ) rArrsqrt(3)/(2) =(sin theta )/((1//2)+cos theta ) rArr (3)/4=((2 sin theta )/(1+2 cos theta ))^(2)` <br> `rArr 3(1+2 cos theta )^(2)=16 sin ^(2) theta ` <br> `rArr 3(1+4cos^(2) theta +4cos theta)= 16(1-cos ^(2) theta)` <br> `rArr3+12cos ^(2) theta +12 cos theta =16-16 cos ^(2) theta` <br> `rArr 28cos^(2)theta +12 cos theta -13=0 rArr " " cos theta = (1)//(2), -0.92`