Chapter 15: Oscillations Flashcards

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1
Q

Periodic motion (also called harmonic motion) is…

A

Any motion that repeats itself with a measurable repeat time, or period.

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2
Q

What is period (T)?

A

The time for the completion of one cycle.

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3
Q

What is the unit for period?

A

Seconds (s) per “cycle”

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4
Q

What is frequency?

A

The number of cycles completed per unit time.

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5
Q

What is the unit for frequency?

A

“cycle”/s, or Hertz (Hz)

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6
Q

How are frequency and period related?

A

Period is the inverse of frequency, and frequency is the inverse of period.

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7
Q

What does SHM stand for?

A

Simple Harmonic Motion

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8
Q

What are the three ways that SHM can start?

A

1.) x(0) = 0, v(0) DOES NOT = 0;
2.) x(0) DOES NOT = 0, v(0) = 0;
3.) Neither x(0) nor v(0) equal 0.

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9
Q

Displacement in SHM can be described using the following equation:

A

x(t) = x(subm)cos(ωt + ϕ)

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10
Q

Angular frequency is represented by the letter ___, and is determined using the equation ___.

A

ω; ω = 2πrad/T

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11
Q

x(subm) is the amplitude of SHM, and is the…

A

Maximum displacement from equilibrium.
SI unit: meter (m)

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12
Q

In SHM, the phase angle (ϕ) is…

A

The number that describes the shift of the function in terms of a rotational movement.
SI unit: radian

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13
Q

When x(subm) increases, ___; when ω increases, ___; when ϕ increases, then ___.

A

The graph stretches vertically; the object oscillates more rapidly; the curve shifts to the left.

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14
Q

The ___ is the first derivative of the SHM position equation, and ___ is the second derivative.

A

Velocity; acceleration.

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15
Q

The amplitude of a SHM curve (whether it be position, velocity, or acceleration) is determined by…

A

The combined magnitude of the variables in front of the trigonometric segment of the function.

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16
Q

Is mechanical energy of a system moving with SHM conserved?

A

Yes!

17
Q

In angular simple harmonic motion, an oscillator is suspended on an axis on which it twists back and forth. This uses an angular form of Hooke’s Law:

A

τ = κθ

18
Q

In angular simple harmonic motion, an oscillator is suspended on an axis on which it twists back and forth. This uses Newton’s second law for rotational motion:

A

α = (τ(subnet))/I

19
Q

A simple pendulum is…

A

A pendulum in which all of the mass is suspended at a singular point, on a weightless string of length L.

20
Q

A physical pendulum is…

A

A pendulum in which all of the weight is NOT suspended on one point, and is instead distributed along the entire pendulum length.