The Time Period for the Rotation of the Conical Pendulum $\theta$

question 17

Multiple Choice

The time period for the rotation of the conical pendulum moving in a horizontal circle (bob mass = M, string length L, and vertical half angle $\theta$ ; see figure) is given by the expression:

• A) 2 \(\pi\) \(\times\) {Lcos \(\theta\) /g}^1/2
• B) 2 \(\pi\) \(\times\) {Lsin \(\theta\)/g}^1/2
• C) 2 \(\pi\) \(\times\) Lcos \(\theta\) /g
• D) 2 \(\pi\) \(\times\) Lsin \(\theta\) /g
• E) {2 \(\pi\) \(\times\) Lcos \(\theta\) /g}^1/2

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Definitions:

Rectangular Coordinates

A coordinate system where each point is defined by an ordered pair of perpendicular lines, one measuring the horizontal (x) and the other the vertical (y) displacement.

Dimensioning

The process of specifying part sizes, locations, and features on technical drawings for precision manufacturing or assembly.

Two-Axis

Describes systems or machines that operate or move in two different directions or planes, usually horizontal (X-axis) and vertical (Y-axis).

Perpendicular

A geometric term describing a line or plane at a 90-degree angle to another line or plane.