A Particle Undergoes Damped Harmonic Motion

question 15

Multiple Choice

A particle undergoes damped harmonic motion.The spring constant is 100 N/m; the damping constant is 8.0 x 10^-3 kg∙m/s, and the mass is 0.050 kg.If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the angular frequency of the oscillations?

• A)4.0 rad/s
• B)8.0 rad/s
• C)12 rad/s
• D)23 rad/s
• E)45 rad/s

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Definitions:

Standard Form

A way of writing numbers, particularly large or small numbers, using powers of ten, or a method to write equations, especially linear equations, in a specific format.

Imaginary Unit

The square root of negative one, denoted by \(i\), used in complex number calculations.

Standard Form

A way of writing down very large or very small numbers easily, or a way to write equations in a specific format.

Model

A representation or abstraction of a real-world situation, phenomenon, or system, often used for analysis or prediction.