Question

The vertical force F acts downward at A on the two-membered frame. Determine the magnitudes of the two components of F directed along the axes of AB and AC. Set F = 350 lb.

Answer 1

To find the magnitudes of the component forces along AB and AC caused by a downward force at A, trigonometry and vector resolution are used based on given angles of the members.

Step-by-step explanation:

The determination of the component forces directed along the axes of members AB and AC due to a vertical force F acting downward at point A involves using vector resolution techniques and trigonometry. Assuming members AB and AC are at known angles relative to the horizontal or vertical, we use the sine and cosine trigonometric functions to find the magnitude of the force components along AB and AC. The original vertical force F has to be split into two components FAB and FAC such that FAB acts along member AB and FAC along member AC. Using the fact that F = 350 lb, the obtained force components FAB and FAC would be specific to the angles that members AB and AC form with the horizontal or vertical directions.