two forces 30 N and 40 N both tensile are acting at an angle 90˚ between them. Find graphically magnitude and direction of the resultant

To find the magnitude and direction of the resultant force graphically, we can use the parallelogram method. Here's how you can do it step by step:

1. Draw a line segment to represent the first force of 30 N starting from a point. Label this line as Force A.
2. From the endpoint of Force A, draw a line segment to represent the second force of 40 N at a 90° angle to Force A. Label this line as Force B.
3. Complete the parallelogram by drawing lines parallel to Force A and Force B.
4. The diagonal of the parallelogram represents the resultant force.
5. Measure the length of the diagonal, which represents the magnitude of the resultant force. Let's say it measures 50 mm.
6. To convert this measurement to N, you need to use a scale factor. For example, if 1 mm represents 1 N, then the magnitude of the resultant force would be 50 N.
7. To determine the direction of the resultant force, measure the angle between the diagonal and Force A using a protractor. Let's say it measures 30°.
8. The direction of the resultant force would be the angle between the diagonal and the positive x-axis. In this case, it would be 30°.

Therefore, the magnitude of the resultant force is 50 N, and its direction is 30° with the positive x-axis.