Your 'torques' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Your optional message or comment: **
** Positions of the three points of application, lengths of systems B, A and C (left to right), the forces in Newtons exerted by those systems, description of the reference point: **
0.5cm, 8cm, 12cm
8.4cm, 8.05cm, 8.35cm
1.14N, 2.28N, 1.9N
The left end of the rod was used as the reference point for line 1.
The forces were determined from the calibration reports for each rubberband.
The values above represent the distance of the rubbeerbands from the left end of the rod, the length of each rubberband, and the forces applied to each.
** Net force and net force as a percent of the sum of the magnitudes of all forces: **
-0.76N
14.3%
The values above are the net force of the system and the percentage of the sum of magnitudes.
** Moment arms for rubber band systems B and C **
7.5cm, 4cm
The values above represent the distance from the fulcrum point(center rubberband). The first value is for B, and the next is C.
** Lengths in cm of force vectors in 4 cm to 1 N scale drawing, distances from the fulcrum to points B and C. **
4.8cm, 9.3cm, 7.8cm
7.5cm, 4cm
The values above represent the length of the vectors(line 1), and the distance form the fulcrum point for B and C(line 2).
** Torque produced by B, torque produced by C: **
+8.55Ncm, -7.6Ncm
The values above are the torque values of the rubberbands B and C. The values of torque were obtained by multiplying arm-length by force.
** Net torque, net torque as percent of the sum of the magnitudes of the torques: **
+0.95Ncm
6%
The results were obtained by adding the values together. The percentage by dividing Fnet by total torque force(.95Ncm/16.15Ncm).
The values above expresses that the value of CW torque was more than the CCW torque.
** Forces, distances from equilibrium and torques exerted by A, B, C, D: **
1.9N, 0cm, 0Ncm
1.52N, 1.3cm, +1.98Ncm
0.38N, 12cm, -4.56Ncm
0.57N, 14.9cm, +8.49Ncm
The values above are the Force(A, B, C, D), distance from A, and the torque for each(F * s = Torque)
** The sum of the vertical forces on the rod, and your discussion of the extent to which your picture fails to accurately describe the forces: **
+0.57N
My graph has 2 positive vertical forces and 2 negative vertical forces. The left side has the stronger of the forces pulling both up and down, and the right side has much weaker forces pulling in both directions.
** Net torque for given picture; your discussion of whether this figure could be accurate for a stationary rod: **
+5.91Ncm
These could vary well be the actual torques exerted upon a stationary rod. This is only my opinion so far, however.
** For first setup: Sum of torques for your setup; magnitude of resultant and sum of magnitudes of forces; magnitude of resultant as percent of sum of magnitudes of forces; magnitude of resultant torque, sum of magnitudes of torques, magnitude of resultant torque as percent of the sum of the magnitudes: **
15.1Ncm
+.57N, 4.37N
13%
+5.91Ncm, 15.1Ncm, 39%
I really dont know. This part confused me as to what it was really asking.
** For second setup: Sum of torques for your setup; magnitude of resultant and sum of magnitudes of forces; magnitude of resultant as percent of sum of magnitudes of forces; magnitude of resultant torque, sum of magnitudes of torques, magnitude of resultant torque as percent of the sum of the magnitudes: **
44.53Ncm
-.37N, 6.09N
6%
-1.07Ncm, 44.53Ncm, 2%
** In the second setup, were the forces all parallel to one another? **
No the forces were not parallel from each other. 1 or 2 degrees is what I would estimate that the parallel forces vary.
** Estimated angles of the four forces; short discussion of accuracy of estimates. **
90deg, 89.9deg, 88deg, 87.7deg
I have already marked the shift of the 2 rods, and calculated their angles with the formula: tan-1(y/x) for each.
** x and y coordinates of both ends of each rubber band, in cm **
2.8, 0, 2.8, 8.7
9.6, 15.4, 8.35, 23.7
18.7, 2.05, 16.5, 10.1
The values above are where the rubberband points lie on a coordinate plane. The first 2 #'s are the lower point for each rubberband, and the second 2 #'s are teh upper point of each rubberband.
** Lengths and forces exerted systems B, A and C:. **
8.7cm, 1.52N
8.4cm, 3.42N
8.35cm, 1.9N
The values above are the lengths of the rubberbands and forces they exert.
** Sines and cosines of systems B, A and C: **
98.4, 98.6
90, 90
-74.6, -74.7
The results above are the angles for the rubberbands in their relation to the horizontal x-axis.
** Magnitude, angle with horizontal and angle in the plane for each force: **
-1.52N, undefined(90deg)
3.42N, 98.56
-1.9N, -74.71
The values above are the force of each vector and the angle of each vector.
** x and y components of sketch, x and y components of force from sketch components, x and y components from magnitude, sine and cosine (lines in order B, A, C): **
-2cm, 12.2cm, -.51N, 3.38N, -.51, 3.38
0, -6.2cm, 0N, -1.52N, 0, -1.52
2cm, -7.1cm, .5N, -1.83N, -.5, 1.83
** Sum of x components, ideal sum, how close are you to the ideal; then the same for y components. **
-.01, -.01, 0.1
.03, .03, 0.3
The values above are the sums of the x and y component and how far they are away from ideal.
** Distance of the point of action from that of the leftmost force, component perpendicular to the rod, and torque for each force: **
0, -1.52N, 0N
7.2cm, 3.38N, 24.34Ncm
12.4cm, -1.83N, -22.69Ncm
The values ablove are the distance from the leftmost force, the perpendicular force, and the torque for each vector A, B, C.
** Sum of torques, ideal sum, how close are you to the ideal. **
1.65Ncm, 0, 1.65
The values above are the sum of the torque, what the sum should be, and how close to ideal is the first sum.
** How long did it take you to complete this experiment? **
5hr 55min
** Optional additional comments and/or questions: **
You were confused by one or two questions but you obviously understand everything and did excellent work on this experiment.