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Determine the x and y components of each of the forces shown in the figure. Also, determine the resultant of the forces and its direction.
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Solution:
The first thing that we need to do is to draw the rectangular component of the given forces and then isolate into x and y components as follows
Photo by Math Principles in Everyday Life |
By using trigonometric functions of right triangles, we can solve for the x and y components of the three given forces.
For F = 390 lbs:
For P = 300 lbs:
The sum of the x components of the three given forces is
The sum of the y components of the three given forces is
Since the sign of Rx and Ry are both negative, then they are located at the 3rd quadrant as shown in the figure
Photo by Math Principles in Everyday Life |
By Pythagorean Theorem, the value of the resultant of the given three forces is
The direction of the resultant is
or