torques

Your work on torques 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:

.5,7,11

8.5,10,10.4

.10,1.9,1.9

Left-hand side of rod.

Each rubber band was measured in cm as each dominoe was added. cm * .19N gave me the force. I used the measurements from my calibrated rubber bands and calculated the Newtons.

Net force and net force as a percent of the sum of the magnitudes of all forces:

-3.61N

12.67%

Some of these forces were acting upward, some downward. Unless all were acting in the downward direction, the sum would not be -3.61 N.

Also 3.61 N is the magnitude of the sum of all forces, so your result would have 100% of this magnitude, not 12.67%.

Moment arms for rubber band systems B and C

8cm

12cm

Lengths in cm of force vectors in 4 cm to 1 N scale drawing, distances from the fulcrum to points B and C.

.76cm,7.6cm,7.6cm

8,12

Torque produced by B, torque produced by C:

+5.43,-4

Net torque, net torque as percent of the sum of the magnitudes of the torques:

1.43

39.39%

Forces, distances from equilibrium and torques exerted by A, B, C, D:

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:

Net torque for given picture; your discussion of whether this figure could be accurate for a stationary rod:

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:

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:

In the second setup, were the forces all parallel to one another?

Estimated angles of the four forces; short discussion of accuracy of estimates.

x and y coordinates of both ends of each rubber band, in cm

Lengths and forces exerted systems B, A and C:.

Sines and cosines of systems B, A and C:

Magnitude, angle with horizontal and angle in the plane for each force:

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):

Sum of x components, ideal sum, how close are you to the ideal; then the same for y components.

Distance of the point of action from that of the leftmost force, component perpendicular to the rod, and torque for each force:

Sum of torques, ideal sum, how close are you to the ideal.

How long did it take you to complete this experiment?

Optional additional comments and/or questions:

Your report has been received. We will be discussing this work as a group, after the due date.

See my notes.