Use graph to find the resultant of each set of displacements?
110KM at 50 degrees north of east, then 170 km at 30 degrees east of south, and then 145km at 20 degrees north of east.
What graph?
To find the resultant of these displacements using a graph, we need to draw displacement vectors for each of the given displacements and then add them together vectorially.
1. Start by drawing a reference line (X-axis) and labeling it "East" and "West."
2. Draw another reference line (Y-axis) perpendicular to the X-axis and label it "North" and "South."
3. Consider each displacement vector separately and draw it starting from the origin (0, 0) and in the direction indicated.
Displacement 1: 110 km at 50 degrees north of east
- Measure 110 km distance from the origin along the east direction (rightward on the X-axis).
- Then, from this endpoint, measure 50 degrees north of east. Draw the displacement vector in this direction.
Displacement 2: 170 km at 30 degrees east of south
- Measure 170 km distance from the origin in the south direction (downward on the Y-axis).
- Then, from this endpoint, measure 30 degrees east of south. Draw the displacement vector in this direction.
Displacement 3: 145 km at 20 degrees north of east
- Measure 145 km distance from the origin along the east direction (rightward on the X-axis).
- Then, from this endpoint, measure 20 degrees north of east. Draw the displacement vector in this direction.
4. After drawing all three displacement vectors, draw the resultant vector from the origin to the endpoint of the third displacement vector.
5. Measure the magnitude of the resultant vector (distance) and the angle it makes with the East direction.
This graph will visually represent the displacements and show you the resultant displacement vector. From this graph, you can measure its magnitude and angle to get the resultant of the set of displacements.