A Pendulum Bob of Mass M Is Set into Motion

question 22

Multiple Choice

A pendulum bob of mass m is set into motion in a circular path in a horizontal plane as shown in the figure. The square of the angular momentum of the bob about the vertical axis through the point P is

• A)m² gl3 sin4 θ/cos θ
• B)m² gl3 sin3 θ/cos θ
• C)m² gl3 sin2 θ/cos θ
• D)m² gl3 sin θ/cos θ
• E)m² gl3 sin2 θ

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Definitions:

Balanced Die

A die engineered to ensure that each face has an equal probability of landing up when thrown.

Simple Event

An event that consists of a single outcome in the sample space of a probability experiment.

Conditional Probability

The probability of an event occurring given that another event has already occurred.

Independent Events

Two or more events in which the occurrence of one event does not affect the probability of the other events.