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A light balloon filled with helium of density 0.179 kg/m³ is tied to a light string of length L = 2.07 m. The string is tied to the ground, forming an "inverted" simple pendulum (shown in (a) of following figure). Не Не Air Air L (a) If the balloon is displaced slightly from equilibrium as in (b) of the figure and released, show that the motion is simple harmonic. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) 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.) Enter a number.

A light balloon filled with helium of density 0.179 kg/m³ is tied to a light string of length L = 2.07 m. The string is tied to the ground, forming an "inverted" simple pendulum (shown in (a) of following figure). Не Не Air Air L (a) If the balloon is displaced slightly from equilibrium as in (b) of the figure and released, show that the motion is simple harmonic. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) 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.) Enter a number.

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A light balloon filled with helium of density 0.179 kg/m³ is tied to a light string of length L = 2.07 m. The string is tied to the ground, forming an "inverted" simple pendulum (shown in (a) of following figure). Не Не Air Air L (a) If the balloon is displaced slightly from equilibrium as in (b) of the figure and released, show that the motion is simple harmonic. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) 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.) Enter a number.
Transcribed Image Text:A light balloon filled with helium of density 0.179 kg/m³ is tied to a light string of length L = 2.07 m. The string is tied to the ground, forming an "inverted" simple pendulum (shown in (a) of following figure). Не Не Air Air L (a) If the balloon is displaced slightly from equilibrium as in (b) of the figure and released, show that the motion is simple harmonic. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) 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.) Enter a number.
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