a) Using the graphical method, add the forces together geometrically and determine the resultant. Decide on an appropriate scale to correlate the length of a vector in your diagram to the magnitude of the force. For example if the scale factor is 1cm = 0.05N then a 15.6cm length vector represents a force magnitude of 0.78N. Choose a scale such that your drawing takes up as much of an 8.5 x 11 sheet of paper as feasible and clearly state scale on diagram. Label the magnitude and direction of your resultant. (For the first one I used the scale 1cm = 0.1N) Vector 1 = 4.41cm (0 degrees) Vector 2 = 6.37cm (80.5 degrees) Vector 3 = 8.33cm (229 degrees) mt (g) θ (deg) F (N) 45.0 0.0 0.441 65.0 80.5 0.637 85.0 229.0 0.833 b) Repeat above with below data. For this data I used the scale 1 cm = 0.08N Vector 1 = 3.675cm (0 degrees) Vector 2 = 3.0625cm (70 degrees) Vector 3 = 6.7375cm (150 degrees) Vector 4 = 6.375cm (280 degrees) mt (g) θ (deg) F (N) 30.0 0.0 0.294 25.0 70.0 0.245 55.0 150.0 0.539 52.0 280.0 0.510
1 a) Using the graphical method, add the forces together geometrically and determine the resultant. Decide on an appropriate scale to correlate the length of a vector in your diagram to the magnitude of the force. For example if the scale factor is 1cm = 0.05N then a 15.6cm length vector represents a force magnitude of 0.78N. Choose a scale such that your drawing takes up as much of an 8.5 x 11 sheet of paper as feasible and clearly state scale on diagram. Label the magnitude and direction of your resultant.
(For the first one I used the scale 1cm = 0.1N)
Vector 1 = 4.41cm (0 degrees)
Vector 2 = 6.37cm (80.5 degrees)
Vector 3 = 8.33cm (229 degrees)
|
mt (g) |
θ (deg) |
F (N) |
|
45.0 |
0.0 |
0.441 |
|
65.0 |
80.5 |
0.637 |
|
85.0 |
229.0 |
0.833 |
b) Repeat above with below data.
For this data I used the scale 1 cm = 0.08N
Vector 1 = 3.675cm (0 degrees)
Vector 2 = 3.0625cm (70 degrees)
Vector 3 = 6.7375cm (150 degrees)
Vector 4 = 6.375cm (280 degrees)
|
mt (g) |
θ (deg) |
F (N) |
|
30.0 |
0.0 |
0.294 |
|
25.0 |
70.0 |
0.245 |
|
55.0 |
150.0 |
0.539 |
|
52.0 |
280.0 |
0.510 |
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