THE PROBLEM WITH TEETER-TOTTER MEASUREMENTS TO MEASURE EM-DRIVE anomalous forcesQUESTION: What is one trying to measure ?
ANSWER : Propulsion forces from microNewtons to milliNewtons
These types of measurements for space propulsion are not unusual. For example, I am acquainted with such measurements at the Aeronautics and Astronautics Department of MIT, which has conducted research in electric/magnetic thrusters since at least the 1950's.
So, there is more than half-a-century of know-how on how to best measure such thrust at Universities engaging in Aerospace Engineering and at NASA, JPL, etc..
The consensus (at NASA, JPL, Aerospace Departments in major Universities) is that torsional methods: torsional balances or the Cavendish pendulum are the most appropriate measurements for micro-thruster measurements . (See:
https://forum.nasaspaceflight.com/index.php?topic=39772.msg1508898#msg1508898 ).
Why is it that torsional methods like the Cavendish pendulum (first tested by Cavendish more than 200 years ago) have been found out to be the best, and teeter-totters are not ?
INDEPENDENCE OF THRUSTER'S MASS: a torsional balance rotational axis is parallel to the force of gravity direction, making its response independent of thruster mass. This is critical to measure thruster's that may be changing in mass during the test. (The EM Drive's mass may change for example, when the power source is located outside the testing device, or for other reasons). By contrast, the movement of a Teeter-Totter is obviously highly affected by a change in mass of a hanging EM-Drive at one end.
LOW ENVIRONMENTAL NOISE SENSITIVITY: by contrast, Teeter-Totters have much higher environmental noise sensitivity, including air convection, etc. This follows trivially from the equations of motion governing the Teeter-Totter motion.
MINIMUM SENSITIVITY TO THERMAL EXPANSION: by contrast, Teeter-Totters are highly affected by differential thermal expansion
HIGH MEASUREMENT SENSITIVITY : torsional methods are well characterized by the torsional stiffness. Hence, in steady state, the measured displacement (after the transient is damped) is simply x = F/k where k is the stiffness. The torsional stiffness is usually due to a metal's stiffness, metals used have a modulus of elasticity practically insensitive (from room temperature to a few hundred degrees above it or below it) to temperature. By contrast, the response of a perfect Teeter-Totter's steady-state force to a constant force is a velocity = Force/(damping constant). The damping is usually provided for example by a liquid whose damping constant is much more sensitive to temperature changes, and the force/damping constitutive relationship is not as simple as the force/displacement relationship for an elastic material like a metal and certainly not as well characterized. Moreover, some Teeter-Totter's that have been used for EM Drive experiments have additional moments of inertia that are not well characterized (acting to stabilize or stabilize the rotation) including the EM Drive itself, usually hanging from it. These additional moments of inertia results in a displacement x = F L/g where "L" is an effective length. This results in a changing (due to thermal expansion) moment of inertia and response.
RETURN TO ORIGINAL CONFIGURATION UPON UNLOADING: Torsional methods (relying on torsional stiffness) return to their original configuration when unloading, due to a well-characterized torsional stiffness of the metal torsional stiffness (an elastic material). This is not necessarily the case for Teeter-Totters. This is very important to properly characterize the response, for example to a step-force (constant force for a given amount of time, followed by unloading to zero).