Suppose that F1 220 N Determine the magnitude of the result

Suppose that F_1 = 220 N. Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. Determine the direction of the resultant force, measured counterclockwise from the positive z axis. Express your answer using three significant figures.

Solution

Solution:

Given F1 = 220 N and F2 = 150 N

Angle between F1 and F2 = 45 deg + 30 deg = 75 deg   

From triangular law of forces :

FR = F1 + F2 = 220 + 150 = 370 N

Direction of force = From F2 to F1
angle = tan-1 ( F2 sin 75 / ( FR + F2 cos 75 )
= tan -1 (150 sin 75 / ( 370 + 150 cos 75 ))
= 19.51 deg