Abstract
It is well known that, when a weight hanging on a spring oscillates up and down, the spring, owing to its mass, has some effect on the motion and, in particular, on the period. Both exact and approximate solutions to that problem have been given. Likewise, the cord of a simple pendulum, because of its mass, has some effect on the motion and on the period. The solution to the problem is investigated here. It leads to a rather complicated equation involving Bessel functions of both kinds. However, it is possible to find simpler approximations which are likely to be legitimate in practice. Also, the results obtained are compared with some other arrangements, which seem physically to have some resemblance to the cord and pendulum bob, and which can be solved fairly readily.
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