A light balloon lled with helium of density 0.180 kg/m3 is
Chapter 13, Problem 13.63(choose chapter or problem)
A light balloon lled with helium of density 0.180 kg/m3 is tied to a light string of length L 3.00 m. The string is tied to the ground, forming an inverted simple pendulum (Fig. P13.63a). If the balloon is displaced slightly from equilibrium, as in Figure P13.63b, show that the motion is simple harmonic, and determine the period of the motion. Take the density of air to be 1.29 kg/m3. [Hint: Use an analogy with the simple pendulum discussed in the text, and see Chapter 9.]
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