A 215 Kg Lightly Damped Harmonic Oscillator Has an Angular Oscillation

question 23

Multiple Choice

A 2.15 kg lightly damped harmonic oscillator has an angular oscillation frequency of 0.261 rad/s. If the maximum displacement of 2.0 m occurs when t = 0.00 s, and the damping constant b is 0.74 kg/s what is the object's displacement when t = 4.01 s?

• A) 0.50 m
• B) 0.43 m
• C) 0.58 m
• D) 0.65 m

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Definitions:

Auditory Canal

The tube that runs from the outer ear to the middle ear, which sound waves travel through to reach the eardrum.

Eardrum

A thin membrane that separates the outer ear from the middle ear and vibrates in response to sound waves, facilitating hearing.

Cochlea

The cochlea is a spiral-shaped, fluid-filled inner ear structure responsible for converting sound waves into nerve impulses that are interpreted by the brain as sound.

Ossicles

The three tiny bones in the middle ear known as the malleus, incus, and stapes, crucial for the transmission of sound vibrations to the inner ear.