Use graphical method to find the resultant of vector.
A 120N 45 degrees and vector B is 75N 130 degree.
To find the resultant of two vectors using the graphical method, we start by drawing the vectors to scale on a graph.
Step 1: Draw a coordinate system
Start by drawing a set of axes on a piece of graph paper or use any blank piece of paper. Choose a suitable scale for the vectors.
Step 2: Draw vector A
From the origin of the coordinate system, draw a vector labeled A that has a magnitude of 120N (Newton) and an angle of 45 degrees with respect to the positive x-axis. Make sure to represent the magnitude accurately using the chosen scale.
Step 3: Draw vector B
From the end of vector A, draw a vector labeled B that has a magnitude of 75N and an angle of 130 degrees with respect to the positive x-axis. Again, represent the magnitude accurately on the graph.
Step 4: Complete the parallelogram
Draw a line (vector B') parallel to A, starting from the end of A. Draw another line (vector A') parallel to B, starting from the end of B. These lines should form a parallelogram with A and B as adjacent sides.
Step 5: Calculate the resultant
Draw the diagonal of the parallelogram, labeled as the resultant vector R. This represents the resultant of the two vectors. The length and direction of R will provide the magnitude and angle of the resultant vector.
Step 6: Measure the magnitude and angle of R
Using a ruler or protractor, measure the length of vector R from the origin to its tip. The length represents the magnitude of the resultant. Additionally, measure the angle that R makes with the positive x-axis. This angle represents the direction of the resultant vector.
Step 7: Determine the magnitude and direction of the resultant
The measured length of R corresponds to the magnitude of the resultant. Convert this length back to the correct scale to determine the actual magnitude.
The measured angle of R corresponds to the direction of the resultant. Convert back to the correct angle by adding or subtracting the angle based on your coordinate system.
Thus, by following these steps and using the graphical method, you can find the magnitude and direction of the resultant vector of A (120N at 45 degrees) and B (75N at 130 degrees).