Question

the resultant of two forces acting at an angle of 150° is 10N and is perpendicular to one of the forces ​

Answer 1

Answer:

On the off chance that we draw the resultant vector from the starting point along x-axis:

one of the vectors is Perpendicular to resultant vector, so check vector a from the starting point along +y axis.

From the graph, we can tell that the other vector b at 150 degrees clockwise from vector an(i.e 60 degrees from +X axis)

IN X direction,b.cos60° =10

since cos60°=1/2

b=10/1/2=20

in the Y direction:

a=b.sin60°

since sin 60°=√ 3/2

a=20 √ 3/2

=10√3

Since 10√3 is smaller than 20. hence answer is 10√3