Question

The resultant of two forces is the same when their
directions are inclined at an angle theta as when they are inclined at an angle
π/4 -theta the value of tan theta is

(a) I+/2
(b) 1+ v3
(c) √2-1
(a) √3-1

Answer 1

Step-by-step explanation:

Correct option is A)

Let the magnitude of each force be P. Then, R

1

= Resultant of two equal forces each of magnitude P inclined at an angle 2α=2Pcosα, and

R

2

= Resultant of two equal forces each of magnitude P inclined at an angle 2β=2Pcosβ.

It is given that, R

1

=2R

2

⇒2Pcosα=4Pcosβ

⇒cosα=2cosβ