A-Level Physics: Oscillations: Overview

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36 Terms

1
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what is an object that experiences simple harmonic motion?

an object that experiences a restoring force

2
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in what direction must the restoring force of an object moving with SHM be?

towards the equilibrium position

3
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what is the relationship between the restoring force and the distance from the equilibrium?

they are directly proportional

4
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what is the equation linking distance from equilibrium position and restoring force?

F=-kx

5
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what is an example of a simple harmonic oscillator?

a simple pendulum

6
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explain the simple harmonic motion of a simple pendulum

the pendulum oscillates around a central midpoint known as the equilibrium position, and the restoring force is given by the horizontal component of gravity acting on the pendulum bob

7
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what is the acceleration of an object experiencing simple harmonic motion proportional to?

acceleration of SHM is directly proportional to the displacement in the opposite direction

8
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what is the equation linking displacement and acceleration of SHM?

acceleration= -angular speed² x displacement from equilibrium

9
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what is angular speed?

the angle an object moves through per unit of time

10
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what is the formula for angular speed?

2 pi x frequency

11
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how can the equation for angular speed be rearranged to derive the time period of oscillations?

  1. w=2pi x f

  2. f= w/2 pi

  3. T=1/f

  4. T=1/(w/2 pi)

  5. T=2pi/ w

12
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what are the three formulas that can be used for simple harmonic oscillators?

  • x=Acos wt

  • v= -Awsin wt

    • a= -Aw²cos wt

      (where A is the amplitude)

13
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what are simple harmonic systems?

systems that oscillate with simple harmonic motion

14
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what are examples of simple harmonic oscillators?

simple pendulum, mass-spring system

15
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what formula is used for the period of a simple pendulum?

T= 2 pi x (root) l/g

16
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what is the formula used to find the period of a mass-spring system?

T=2 pi x (root) m/k (where k is the spring constant)

17
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what is the shape of a displacement-time graph of an oscillating system?

a sine or cosine curve

18
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how can the velocity of an oscillating system be found from a displacement-time graph?

by finding the gradient of the curve as a certain point

19
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how can a velocity-time graph be drawn?

by drawing the gradient function of the displacement-time graph

20
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how can the acceleration of an oscillating system be found from a velocity-time graph?

by calculating the gradient at a certain point of the graph

21
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what is resonance?

where the amplitude of a system drastically changes due to gaining an increased amount of energy from a driving force

22
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what are examples of applications of resonance?

instruments, radios, swings

23
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when does resonance occur?

when the driving frequency (frequency of the driving system) is equal to the natural frequency of the system

24
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what are negative consequences of resonance?

damage to structure

25
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what is an example of damage to structure caused by resonance?

when people crossing a bridge provide a driving frequency close to the natural frequency, the bridge will begin oscillating violently

26
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what can be done to reduce the effects of resonance?

damping

27
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what in damping?

where a force acts on an oscillating system and energy is lost from the system to its environment, reducing amplitude of oscillations

28
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what are the energy transfers within a simple harmonic motion system?

kinetic energy is transferred to potential energy (which depends on the system) and back as the system oscillates

29
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explain the transfers of energy within a simple harmonic motion system

at the amplitude, the system will have the maximum amount of potential energy, while at the equilibrium, the amount of kinetic is at its maximum

30
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what is an undamped system?

no external forces act, so no energy is lost to the environment- total energy of the system is constant

31
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when do free vibrations occur?

when no external force is acting on a system, so the system will oscillate at its natural frequency

32
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what are forced vibrations?

where a system experiences an external driving force which causes it to oscillate

33
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what are the three main types of damping?

light damping, critical damping, heavy damping

34
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what is light damping?

also known as underdamping, this is where the amplitude gradually decreases by a small amount after each oscillation

35
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what is critical damping?

type of damping which reduces the amplitude to zero in the shortest possible time

36
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what is heavy damping?

also known as overdamping, where the amplitude reduces slower than critical damping but without any additional oscillations