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Display in a New Window Display in a New Window 1. Give one block a small initia

ID: 3897714 • Letter: D

Question

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1. Give one block a small initial displacement and the other block a larger one. Click start, and watch the animation. Then select each statement below that is true.
Frequency is independent of amplitude.Large amplitudes have smaller periods.Small amplitude gives smaller acceleration.Large amplitudes have larger frequencies.Acceleration is independent of amplitude.Large amplitude gives larger acceleration.2. As the ball rotates, its shadow moves in periodic motion along the horizontal surface.

The shadow completes one period of its motion in the same time it takes the ball to rotate around completely.

Observe the motion of the ball and its shadow for a range of angular speeds and positions from the axis of rotation. Then select each statement below that is true.

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A larger angular speed for the ball gives a larger period for the shadow.A smaller angular speed for the ball gives a larger period for the shadow.A smaller radius for the ball gives a larger period for the shadow.The period of the oscillating shadow is identical to the period of the rotating object.A larger radius for the ball gives a larger period for the shadow.
3. Explore

For small angles, the bob moves in simple harmonic motion. You can see small variations in the period of the bob as the initial angle is adjusted to values up to plus or minus ten degrees.

For simple harmonic motion, the period is given by the following. Investigate the animation, then check each item below that is correct.

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If the length of the pendulum increases by a factor of four the period increases by a factor of four.The period of the pendulum is independent of the length of the pendulum.The period of the pendulum is only slightly dependent on the amplitude of the oscillation.The period of the pendulum is independent of the mass of the pendulum bob.

Explanation / Answer

TRUE:

Frequency is independent of amplitude.

Small amplitude gives smaller acceleration.

Large amplitude gives larger acceleration.

A smaller angular speed for the ball gives a larger period for the shadow.

The period of the oscillating shadow is identical to the period of the rotating object.

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The period of the pendulum is only slightly dependent on the amplitude of the oscillation.

The period of the pendulum is independent of the mass of the pendulum bob.