torques

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: **

This experiment can't be done by one person. It is not possible for me to hold the plywood vertical and pull on the two rubberbands that are hanging vertically, Also, even when I manage to pull on them to get the required distance at 10 dominoes, I can't mark the rubberbands on the grid. The paperclips are completely off of the paper.

** 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: **

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

** Moment arms for rubber band systems B and C **

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

** Torque produced by B, torque produced by C: **

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

** 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: **

I don't think there's anything in the directions that asks you to hold the board in a vertical position. However looking at it now, I see how it could be read that way; you're the first to read it this way, and these experiments have been around a few years. If there's any reflection on you, it probably indicates good spatial visualization.

I've added a phrase to the first paragraph, which is now broken into two paragraphs to read

'The setup is illustrated in the figure below. The large square represents the one-foot square piece of plywood, the black line represents the threaded rod, and there are six crude-looking hooks representing the hooks you will make by unbending and re-bending paper clips. The red lines indicate rubber bands. The board is lying flat on a tabletop.

The top rubber band is attached by one hook to the top of the plywood square and by another hook to the approximate center of the rod. We will consider the top of the square to represent the upward direction, so that the rod is considered to be suspended from the top rubber band and its hook.'

The added words are 'The board is lying flat on a tabletop.'

I've also added some advice on what to do if the system doesn't fit onto the board.

torques

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: **

This experiment can't be done by one person. It is not possible for me to hold the plywood vertical and pull on the two rubberbands that are hanging vertically, Also, even when I manage to pull on them to get the required distance at 10 dominoes, I can't mark the rubberbands on the grid. The paperclips are completely off of the paper.

** 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: **

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

** Moment arms for rubber band systems B and C **

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

** Torque produced by B, torque produced by C: **

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

** 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: **

I don't think there's anything in the directions that asks you to hold the board in a vertical position. However looking at it now, I see how it could be read that way; you're the first to read it this way, and these experiments have been around a few years. If there's any reflection on you, it probably indicates good spatial visualization.

I've added a phrase to the first paragraph, which is now broken into two paragraphs to read

'The setup is illustrated in the figure below. The large square represents the one-foot square piece of plywood, the black line represents the threaded rod, and there are six crude-looking hooks representing the hooks you will make by unbending and re-bending paper clips. The red lines indicate rubber bands. The board is lying flat on a tabletop.

The top rubber band is attached by one hook to the top of the plywood square and by another hook to the approximate center of the rod. We will consider the top of the square to represent the upward direction, so that the rod is considered to be suspended from the top rubber band and its hook.'

The added words are 'The board is lying flat on a tabletop.'

I've also added some advice on what to do if the system doesn't fit onto the board.