A component of uniform material and nonuniform cross section is pinned at one end and supported by two springs as shown in the two configurations of Figure 2.48. The component is displaced slightly from equilibrium and released and observed to oscillate with a period of \(T=1.5 \mathrm{~s}\).

(a) For the system in the top figure, calculate the moment of inertia of the component with respect to the hinge axis of rotation if \(k=500 \mathrm{~N} / \mathrm{m}\) and \(l=1 \mathrm{~m}\).

(b) For the system in the bottom figure, calculate the period of oscillation assuming the same parameter values.

Transcribed Image Text:

k k 60000 k k Figure 2.48: A rigid component supported by two springs in two configurations.