Question

Two forces of 68 pounds and 66 pounds act simultaneously on an object. The angle

between the two forces is 77º. Find the magnitude of the resultant, to the nearest
pound. Find the measure of the angle between the resultant and the smaller force, to
the nearest degree.
Resultant:
Angle:
Submit Answer

Answer 1

Step-by-step explanation:

Let the x axis lie along the 66 lb force with the force vector tail at the origin.

The 68 lb force would lie along a radial 77° CCW from the x axis

The resultant would have an x and y values of

Fx = 66cos0 + 68cos77 = 81.3 lb

Fy = 66sin0 + 68sin77 = 66.3 lb

F = √(81.3² + 66.3²) = 104.87 = 105 lb

θ = arctan (66.3/81.3) = 39°