Three Pendulums with Strings of the Same Length and Bobs $\theta$

question 27

Multiple Choice

Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles $\theta$ ₁, $\theta$ ₂ and $\theta$ ₃ respectively and released.The approximation sin $\theta$ = $\theta$ holds for all three angles,with $\theta$ ₃ > $\theta$ ₂ > $\theta$ ₁.How do the angular frequencies of the three pendulums compare?

• A) \( \omega \)₃ > \( \omega \)₂ > \( \omega \)₁
• B)Need to know amplitudes to answer this question.
• C)Need to know \(\sqrt { g / L }\) to answer this question.
• D) \( \omega \)₁ > \( \omega \)₂ > \( \omega \)₃
• E) \( \omega \)₁ = \( \omega \)₂ = \( \omega \)₃

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Definitions:

Straight-Line Method

A depreciation method where an equal amount of depreciation is charged for each year of the asset's useful life.

Annual Depreciation

The amount of expense allocated during a year to account for the reduction in value of a fixed asset over its useful life.

Salvage Value

The presumed end value of an asset following the completion of its useful life.

Straight-Line Method

A depreciation method that allocates an equal portion of the initial cost of an asset to each accounting period over its useful life.