“…M, on the other hand, could not be measured directly and is an estimated value. To ob tain an estimate for M for a particular bell, we measured L\, L 2 , and Lbaton f°r that bell, approximated the inertia of the clapper by taking several length measurements, and used these values with the density of bronze in Equation 8. We used the data in these plots to assist the clapper design for the PDPC.…”