The Motion Is Simple Harmonic with Period T, Write an Equation

question 36

Multiple Choice

the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest
position after t seconds. Also assume that the positive direction of the motion is up.An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that
- $\mathrm { a } = 10 ; \quad \mathrm { T } = 3 \pi$ seconds

• A) \(\mathrm { d } = - 10 \cos \left( \frac { 2 } { 3 } \pi \mathrm { t } \right)\)
• B) \(d = - 10 \sin \left( \frac { 2 } { 3 } \pi t \right)\)
• C) \(d = - 10 \cos \left( \frac { 2 } { 3 } t \right)\)
• D) \(\mathrm { d } = - 3 \cos \left( \frac { 1 } { 5 } \mathrm { t } \right)\)

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Definitions:

Variable Cost

Costs that vary directly with the level of output or production volume, such as materials and labor expenses.

Average Variable Cost

The total variable costs incurred by a firm divided by the quantity of output produced.

Marginal Cost

The extra cost resulting from the manufacture of an additional unit of a product or service.

Average Fixed Cost

The total fixed costs of production divided by the quantity of output produced, indicating how fixed costs dilute with increased production.