A force 1 of magnitude 5.40 units acts at the origin in a direction 45.0° above the positive x axis. A second force 2 of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Graphically find the magnitude and direction of the resultant force 1 + 2.
To graphically find the magnitude and direction of the resultant force, you can use vector addition. Here are the steps to solve this problem:
Step 1: Draw the first force (5.40 units) along the direction 45.0° above the positive x-axis. Start by drawing a straight line from the origin in the desired direction and label it as force 1.
Step 2: Draw the second force (5.00 units) along the direction of the positive y-axis. Starting from the end of force 1, draw a straight line perpendicular to force 1 in the upward direction and label it as force 2.
Step 3: Connect the tail of force 1 (origin) to the head of force 2 using a straight line. This line represents the resultant force (force 1 + force 2).
Step 4: Measure the length of the resultant force line using a ruler. This length represents the magnitude of the resultant force.
Step 5: Measure the angle that the resultant force line makes with the positive x-axis using a protractor or an angle measuring tool. This angle represents the direction of the resultant force.
Step 6: Record the magnitude and direction of the resultant force.
By following these steps, you can visually determine the magnitude and direction of the resultant force 1 + 2.
To graphically find the magnitude and direction of the resultant force, we can use the graphical method of vector addition.
Step 1: Draw the first force vector F1 with a magnitude of 5.40 units at an angle of 45.0° above the positive x-axis. Label it as F1.
Step 2: Draw the second force vector F2 with a magnitude of 5.00 units in the direction of the positive y-axis. Label it as F2.
Step 3: Place the tail of F2 at the head of F1.
Step 4: Draw the vector from the tail of F1 to the head of F2. This vector represents the resultant force F1 + F2. Label it as FR.
Step 5: Measure the magnitude of FR on the graph. It represents the magnitude of the resultant force.
Step 6: Measure the angle between the positive x-axis and FR. It represents the direction of the resultant force.
Step-by-step summary:
1. Draw F1 with a magnitude of 5.40 units at an angle of 45.0° above the positive x-axis.
2. Draw F2 with a magnitude of 5.00 units in the direction of the positive y-axis.
3. Place the tail of F2 at the head of F1.
4. Draw FR from the tail of F1 to the head of F2.
5. Measure the magnitude of FR.
6. Measure the angle between the positive x-axis and FR.