A Pendulum of Length 16 Feet Hangs from the Ceiling $g = 32$

question 27

Multiple Choice

A pendulum of length 16 feet hangs from the ceiling. Let $g = 32$ represent the gravitational acceleration. The correct linearized differential equation for the angle, $\theta$ , that the swinging pendulum makes with the vertical is

• A) \(\frac { d \theta } { d t } + 2 \theta = 0\)
• B) \(\frac { d ^ { 2 } \theta } { d t ^ { 2 } } + 2 \theta = 0\)
• C) \(\frac { d \theta } { d t } + \theta / 2 = 0\)
• D) \(\frac { d ^ { 2 } \theta } { d t ^ { 2 } } + \theta / 2 = 0\)
• E) \(\frac { d ^ { 2 } \theta } { d t ^ { 2 } } - 2 \theta = 0\)

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Definitions:

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A species of owl known for its distinctive heart-shaped face and primarily nocturnal habits, often found in rural areas and open woodlands across various parts of the world.

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