Question

PLEASE HELP!!! Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Answer 1

Magnitude= 129.55N

Direction= 60°

Explanation:

In order to find the magnitude, we must find the magnitude in both vertical and horizontal direction.

In horizontal direction:

F(x) =150cos30°+ 75cos150°

In vertical direction:

F(x) = 150sin30°+75sin150°

Thus, magnitude is given by: Direction of the force is

α=60°

Hope this helped :)