Question

In the figure below, a force F1 of magnitude 6.30 units acts on a crate at the origin in a direction = 27.0° above the positive x-axis. A second force F2 of magnitude 5.00 units acts on the crate in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force F1 + F2.

Answer 1

To find the magnitude and direction of the resultant force F1 + F2, use the graphical method of vector addition. Draw a scale diagram representing F1 and F2, then find the resultant force by drawing a vector from the origin to the endpoint of F2.

Step-by-step explanation:

To find the magnitude and direction of the resultant force F1 + F2, we can use the graphical method of vector addition. First, draw a scale diagram representing F1 and F2. Then, draw F1 starting from the origin at an angle of 27.0° above the positive x-axis. Next, draw F2 starting from the endpoint of F1 and pointing in the direction of the positive y-axis. The resultant force F1 + F2 can be found by drawing a vector from the origin to the endpoint of F2. The magnitude of the resultant force can be measured from the scale, and the direction can be determined by measuring the angle counterclockwise from the positive x-axis.