Question

Please show how to Graph the Vector Sets. And Solve for it analytically.

Part A: Experimental Determination of the Equilibrant-

1. Obtain three sets of vectors, two sets of two and one set of three.
2. Use a scale of 1 cm = 10 g. For example, a vector of magnitude 5 cm would be represented by a hanging mass of 50g (5 cm x 10 g/1 cm = 50 g). Record each set of vectors below.

Set 1 A  100  g @    0    °	Set 2 A  100  g @   0       °	Set 3 A 100   g @  0   °
B  100   g @ 90    °	B  80  g @    45     °	B 80    g @ 90  ° C 200   g @ 225  °

3. Record the value of the equilibrant, mass and angle.

Equilibrant: 142       g @     225      _ for set 1 (Vectors A and B)
Equilibrant:  166              g @  200         _ for set 2 (Vectors A and B)
Equilibrant:     76           g @    60        _ for set 3 (Vectors A, B and C)

Part B: Graphical Determination of Equilibrant-

1. Using the first set of vectors, graphically add the two vectors (using graph paper) to find the resultant.
2. From the resultant, determine the equilibrant. Refer to page 41.
3. Record your results:

Equilibrant:   g @ _ for set 1 (Vectors A and B)
Equilibrant:    g @ _ for set 2 (Vectors A and B)
Equilibrant:   g @ _ for set 3 (Vectors A, B and C)

Part C: Analytical (Mathematical) Addition of Vectors-

1. Calculate the x and y components of each of your vectors and record in the following table.
2. Calculate the magnitude and direction of the resultant R and equilibrant E.

Answer 1

SET 1

Using the scale 1 cm = 10g we can A and B graphically to get the resultant

If we measure we get:

The equilibrant force is equal and opposite to the resultant. In grams:

Using the analytical method:

SET 2

If we measure we get:

The equilibrant is then:

Using the analytical approach:

SET 3

If we measure R we get

The equilibrant is then:

If we use the analytical method: