Classical Dynamics of Particles and Systems · Problem 11-15
Coupled Oscillations — Marion & Thornton
Physics — Mechanics · katers-reversible-pendulum
Problem
If a physical pendulum has the same period of oscillation when pivoted about either of two points of unequal distances from the center of mass, show that the length of the simple pendulum with the same period is equal to the sum of separations of the pivot points from the center of mass. Such a physical pendulum, called Kater's reversible pendulum, at one time provided the most accurate way (to about 1 part in 105) to measure the acceleration of gravity.* Discuss the advantages of Kater's pendulum over a simple pendulum for such a purpose.