Question

Two equal forces have a resultent equal toonw and a half times the wither force. Find the angle between the forces.​

Answer 1

Let us consider two forces F and F'.

As per the question F = F'

The magnitude of resultant of these two forces are equal to either.

Hence. F = F' = R.

Let the angle between F and F' is

As per parallelogram law of vector addition,

                               

                                       

                                       

                                       

        Squaring both sides we get-

                                         

                                     ⇒    

                                     ⇒           

                                      ⇒       [ans]          

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Answer 2

Answer:

Let us consider two forces F and F'.

As per the question F = F'

The magnitude of resultant of these two forces are equal to either.

Hence. F = F' = R.

Let the angle between F and F' is

As per parallelogram law of vector addition,

                               

                                       

                                       

                                       

        Squaring both sides we get-

                                         

                                     ⇒    

                                     ⇒