Two forces have the same magnitude F. What is the angle between if there sum has a magnitude of (a) 2F (B) UNDERROOT 2F (c) 0
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The forces are perpendicular. That is angle between them is 90 degrees.
It can be found by parallelogram law of vector addition.
In this case when you put Q=P ,R= root2 P and theta=ø
You get 2P^2 cos ø=0
Which implies cos ø=0 therefore ø=90 deg.
In simpler terms you can imagine a sqaure of side P and Resultant is given by the diagonal according to Parallelogram law. The length of diagonal will be root2 P by Pythagoras theorem.
The angles in a sqaure are right angles which again gives you the answer.
It can be found by parallelogram law of vector addition.
In this case when you put Q=P ,R= root2 P and theta=ø
You get 2P^2 cos ø=0
Which implies cos ø=0 therefore ø=90 deg.
In simpler terms you can imagine a sqaure of side P and Resultant is given by the diagonal according to Parallelogram law. The length of diagonal will be root2 P by Pythagoras theorem.
The angles in a sqaure are right angles which again gives you the answer.
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