Figure 5.6.10 shows a mass m on the end of a pendulum (of length L) also attached to a horizontal spring (with constant k). Assume small oscillations of m so that the spring remains essentially horizontal and neglect damping. Find the natural circular frequency ω₀ of motion of the mass in terms of L, k, m, and the gravitational constant g.

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wwwww. L m FIGURE 5.6.10. The pendulum-and-spring system of Problem 21.