Oscillations Flashcards

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1
Q

What are oscillations?

A

The periodic (repetitive) motion above the point of equilibrium.

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2
Q

What is a period?

A

T: The duration of one cycle in a repeating event (s)

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3
Q

What is frequency?

A

The number of cycles per unit of time

F= 1/T. (Hz)

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4
Q

What is angular frequency?

A

2Pi times frequency. (1/s)

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5
Q

What is point of equilibrium?

A

Point around which the system oscillates.

The resulting force here is zero = the acceleration is zero.

The object swings through this point with maximal velocity.

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6
Q

What is displacement?

What is the formula?

A

The momentary distance of the oscillating object from the point of equilibrium.

Y = Asin(angular frequency * t)

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7
Q

What is amplitude?

A

Maximal displacement.

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8
Q

What is harmonic oscillation?

Formula

A

Oscillation along a straight line - where the displacement is a sine function of time.

Y = Asin(angular frequency * t)

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9
Q

When does the system reach its maximum velocity?

What is the formula?

A

Vmax: When passing through the point of equilibrium (when the displacement is zero).

Vmax = angular frequency * A cm/s

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10
Q

What is the velocity when the displacement is max?

A

Zero.

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11
Q

What is the acceleration at the point of equilibrium, and when is it at maximum?

A

Acceleration is zero at point of equilibrium, and maximum when displacement is maximum.

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12
Q

What is the restoring force?

A

The force always peaks at the point of equilibrium. It tends to restore the equilibrium from which the system has been displaced.

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13
Q

Which statement is strue for harmonic oscillation?

A: the amplitude of the oscillation is increasing.

B: The amplitude of the oscillation is changing according to a sine function.

C: The restoring force is proportional to the displacement.

D: The distance run by the oscillating object is a linear function of time.

A

C.

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14
Q

What is the formula of max acceleration?

A

Amax = -angular frequency2 * A cm/s2

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15
Q

What is the formula for acceleration:

A

-angular frequency 2 * A * sin (angular frequency *t)

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16
Q

Whst is the formula for velocity

A

V= A* angular frequency *cos(angular frequency *t)

17
Q

What is true for harmonic osscillation?

A

The restoring force is proportional to the displacement.

18
Q

Natural frequency:

A

F= 1/2pi square of k/m Hz

19
Q

If there should be no loss of energy in a system, what is true about the amplitude of oscillation?

A

The maximum displacement can’t be greater than initial value, otherwise the energy would increase.

20
Q

What is true for the periodically changing force in harmonic oscillation?

A

The force acting on the object is proportional to displacement.

21
Q

What is free oscillation?

A

A spontaneous oscillation that proceeds on its own without external influences —> eigenfrequency.