A light balloon filled with helium of density 0.179 kg/m³ is tied to a light string of length L = 5.45 m. The string is tied to the ground, forming an "inverted" simple pendulum (shown in (a) of following figure). Air g L He Air b He Determine the period of the motion (in s). Take the density of air to be 1.18 kg/m³. (Hint: Use an analogy with the simple pendulum. Assume the air applies a buoyant force on the balloon but does not otherwise affect its motion.)
A light balloon filled with helium of density 0.179 kg/m³ is tied to a light string of length L = 5.45 m. The string is tied to the ground, forming an "inverted" simple pendulum (shown in (a) of following figure). Air g L He Air b He Determine the period of the motion (in s). Take the density of air to be 1.18 kg/m³. (Hint: Use an analogy with the simple pendulum. Assume the air applies a buoyant force on the balloon but does not otherwise affect its motion.)
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