In the Laboratory,a Stick 1 M Long Is Pivoted at Various

question 65

Multiple Choice

In the laboratory,a stick 1 m long is pivoted at various points to illustrate the motion of a physical pendulum.A plot of the period versus the distance of the pivot point from the center of mass is shown.The data presented demonstrate which of the following?

• A)The motion of a pendulum is circular about the center of mass.
• B)The center of mass is at 0.4 m.
• C)The graph is meaningless in this form.
• D)There is a minimum period in the neighborhood of 1.5 s at a pivotal distance of approximately 0.4 m from the center of mass.
• E)The graph should be drawn as a straight line from A to C; point D is obviously wrong.

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Definitions:

Continuity Correction

An adjustment made to a discrete distribution when approximating it to a continuous distribution.

Binomial Random Variable

A type of random variable that counts the number of successes in a fixed number of independent trials with the same probability of success.

Normal Approximation

A technique used to approximate discrete probability distributions with a normal distribution when certain conditions are met.

Sampling Distribution

The probability distribution of a given statistic based on a large number of samples drawn from a specific population, used to estimate population parameters.