The Dynamics of a Ringing Church Bell

Table 1

Measured parameters for the laboratory bell and the (old) tenor bell of Great St Mary’s, Cambridge.

	Lab	GSM tenor
M (kg)	45.8	1378
m (kg)	1.65	24.2
𝑇𝑏 (s)	1.23	2.33
𝑇𝑐 (s)	0.95	1.76
𝐿𝑏 (m)	0.376	1.35
𝐿𝑐 (m)	0.224	0.770
a (m)	0.24	0.705
b (m)	0.25	0.589
𝐼𝑏 (kg m^2)	4.1	1311
𝐼𝑐 (kg m^2)	0.093	11.0
r (m)	0.10	0.179
𝜙max (degrees)	26	32
𝑟/𝐿𝑐	0.45	0.23
𝐿𝑏/𝐿𝑐	1.68	1.75