An object at rest is suspended from two strings (A and B) as shown in the diagram, with A shorter than B. The object pulls on the point O with a force of 20 N. Each of the strings also exerts a force on the Point O. The angle between the strings at O is 90o.
Which of the statements below are true? (If A and E are true, and the others are false, enter TFFFT).
A) The force exerted by B on point O points downward and to the left.
B) The magnitude of the force exerted by B on point O must be smaller than that of A.
C) The magnitude of the vector sum of the forces exerted by A and B is greater than 20 N.
D) The vector sum of the forces exerted by A and B points upward and to the right.
E) The magnitude of the force exerted by B must be 20 N or less.
F = ma
The Attempt at a Solution
I know that the net forces in the horizontal and vertical planes will add up to 0 respectively, and that double angles and trig can be used to narrow down the given data into two unknowns (one value for tension and the angle). I think that the final answer is False, False, False, True, True. I'm at a bit of a loss as to how to think about the problem further.