Question

The greatest and least resultant of two forces acting at a point is 29 kgwt and 5 kgwt respectively.If each force is increased by 3 kgwt.Find the resultant of the two new forces when acting at right angles to each other?

Answer 1

Let x be the magnitude of the first force (and the larger force).
Let y be the magnitude of the second force.
Greatest resultant happens when they act in the same direction:
x + y = 29
Least resultant happens when they act in opposite directions:
x - y = 3
Solve this system of equations for x and y.
Use Pythagorean Theorem to find magnitude of resultant for right angle scenario.
Use trig to find direction of resultant w.r.t. force x.