Question

The two forces shown act in the x-y plane of the T-beam cross section. If it is known that the resultant R of the two forces has a magnitude of 3.8 kN and a line of action that lies 14° above the negative x-axis, determine the magnitude of F1 and the orientation è of F2.

Answer 1

A description of the accompanying figure is required. Minimally, the directions of F1 and the magnitude of F2 are required.

Answer 2

The figure shown includes an x, y, and z axis. On the positive x-y plane, force F2 points toward the origin with a magnitude of 3kN and an angle theta between it and the positive x axis. On the negative x-y plane, force F1 points toward the origin with an angle of 27 degrees between it and the negative y axis.

Answer 3

Do your homework, son.

Answer 4

So you have three forces, the magnitude and angles of which two are known.

You will need to first compile a table of known and unknown values.

To avoid confusion, you need to follow these rules for describing forces:
1. All angles are to be measured counter-clockwise from the positive x-axis.
2. All forces should originate <i>from</i> the origin. If the force is towards the origin, add 180 degrees to convert it to originate from the origin.
3. Unknown magnitude and angles should be given a variable name, so that forces can be summed along the x and y directions.

So here's a summary table for you to complete (magnitudes are in N, and angles in degrees, measured CCW from +x axis). Remember all forces <i>originate</i> from the origin.

Force magnitude angle (&alpha)
F1 x -27
F2 3 θ+180
R 3.8 N -14

Check the above table and draw a diagram to represent the forces.
We can continue after that.

Answer 5

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