A bifilar pendulum of length \(2 a\) is suspended with two vertical strings, each of length \(l\), as shown in Figure 2.64. (Bifilar means fitted with or involving the use of two threads or wires.) Assuming small rotations of the strings, such that the bar is essentially horizontal with half its weight supported by each string, show that the period is

\[ T=\frac{2 \pi a}{b} \sqrt{\frac{l}{3 g}} \]

Transcribed Image Text:

b b W a a Figure 2.64: A bifilar compound pendulum.