Determine the slope triangle dimension s so that the horizon

Determine the slope triangle dimension s so that the horizontal components of the two forces shown are equal in magnitude and opposite in sense. Then find the resultant of the force system.

Solution

10 cos 40 = 15 cos x

x = 59.2 degrees

For finding the resultant force , we need to add vertical forces as horizontal forces cancel out.

= 10 sin 40 + 15 sin 59.2

= 19.3 N upwards