Question
The resultant of two forces 3P and 2P is R, if the first force is doubled, the resultant is also doubled. The angle between the forces is
Hint:
In this question, the resultant of two forces 3P and 2P is R, if the first force is doubled, the resultant is also doubled. We have to find the angle between the force. We have formula for resultant that is 
Use this formula to find the answer
The correct answer is:
......(i)
and 
.....(ii)
So multiplying (i) by 2 and squaring and subtracting (ii) from (i), we get
Þ 
Þ 
.
Here we have to find the Angle between the forces,
Firstly, we have given resultant R has two forces 3P and 2P.
We have resultant formula,
R = 
R = 
Squaring both sided,
--------(1)
first force is doubled, the resultant is also doubled. Then at 2R → 2x 3p
Squaring both sides,
-------(2)
Now, multiplying eq (1) by 4 we get,
--------(3)
Now equating eq (2) and eq (3), we get,
θ = 120°
Therefore, the angle between the forces is 120°
The correct answer is 120°.
In this question, we have to make two equations of Resultant as per given instruction and solve the equations and find the angle. Remember the formula of Resultant is R = 
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