DP Physics Questionbank
B.4 – Forced vibrations and resonance (HL only)
Path: |
Description
Nature of science:
Risk assessment: The ideas of resonance and forced oscillation have application in many areas of engineering ranging from electrical oscillation to the safe design of civil structures. In large-scale civil structures, modelling all possible effects is essential before construction. (4.8)
Understandings:
- Natural frequency of vibration
- Q-factor and damping
- Periodic stimulus and the driving frequency
- Resonance
Applications and skills:
- Qualitatively and quantitatively describing examples of under-, over- and critically-damped oscillations
- Graphically describing the variation of the amplitude of vibration with driving frequency of an object close to its natural frequency of vibration
- Describing the phase relationship between driving frequency and forced oscillations
- Solving problems involving Q factor
- Describing the useful and destructive effects of resonance
Guidance:
- Only amplitude resonance is required
Data booklet reference:
International-mindedness:
- Communication through radio and television signals is based on resonance of the broadcast signals
Utilization:
- Science and technology meet head-on when the real behaviour of damped oscillating systems is modelled
Aims:
- Aim 6: experiments could include (but are not limited to): observation of sand on a vibrating surface of varying frequencies; investigation of the effect of increasing damping on an oscillating system, such as a tuning fork; observing the use of a driving frequency on forced oscillations
- Aim 7: to investigate the use of resonance in electrical circuits, atoms/molecules, or with radio/television communications is best achieved through software modelling examples
Directly related questions
- 18M.3.HL.TZ2.11b: The Q factor for the system is reduced significantly. Describe how the graph you drew in (a)...
- 18M.3.HL.TZ2.11a: Draw a graph to show the variation of amplitude of oscillation of the system with frequency.
- 18M.3.HL.TZ1.11b.ii: calculate the Q at the start of the motion.
- 18M.3.HL.TZ1.11a: Describe the motion of the spring-mass system.
- 17N.3.HL.TZ0.12b: Outline what change would be required to the value of Q for the mass–spring system in order for...
- 17N.3.HL.TZ0.12a: Explain why it would be uncomfortable for the farmer to drive the vehicle at a speed of 5.6 m s–1.
- 17N.3.SL.TZ0.12c: The mass of Sirius B is about the same mass as the Sun. The luminosity of Sirius B is 2.5 % of...
- 17N.3.SL.TZ0.12b: The peak spectral line of Sirius B has a measured wavelength of 115 nm. Show that the surface...
- 17N.3.SL.TZ0.12a: State what is meant by a binary star.
- 17M.3.HL.TZ2.11b.ii: The vibrator is switched off and the spring continues to oscillate. The Q factor is...
- 17M.3.HL.TZ2.11b.i: State and explain the displacement of the sine wave vibrator at t = 8.0 s.
- 17M.3.HL.TZ2.11a: On the graph, sketch a curve to show the variation with driving frequency of the amplitude when...
- 17M.3.HL.TZ1.10c: The Q factor of the system increases. State and explain the change to the graph.
- 17M.3.HL.TZ1.10b: Calculate the Q factor for the system.
- 17M.3.HL.TZ1.10a: State what is meant by damping.
- 16N.3.HL.TZ0.14b: The system is critically damped. Draw, on the graph, the variation of the displacement with time...
- 16N.3.HL.TZ0.14a: Explain, with reference to energy in the system, the amplitude of oscillation between (i) t = 0...
- 16M.3.HL.TZ0.11b: The support point P of the pendulum is now made to oscillate horizontally with frequency...
- 16M.3.HL.TZ0.11a: The sphere A is displaced so that the system oscillates. Discuss, with reference to the Q factor,...
- 15M.1.SL.TZ1.13: A periodic driving force of frequency ƒ acts on a system which undergoes forced oscillations of...
- 15M.1.SL.TZ2.13: The effects of resonance should be avoided in A. quartz oscillators. B. vibrations in...
- 14M.1.SL.TZ2.15: In which of the following systems is it desirable that damping should be as small as...
- 14M.2.SL.TZ1.4j: Point P now begins to move from side to side with a small amplitude and at a variable driving...
- 12N.1.SL.TZ0.16: What property of a driving system must be approximately equal to that of the oscillating system...
- 13M.1.HL.TZ1.10: Microwave ovens cause the water molecules in food to resonate. Water molecules have a natural...
- 12M.1.HL.TZ1.10: Which of the following gives the conditions for maximum amplitude in forced, but damped,...
- 11M.1.SL.TZ2.13: An object is undergoing...
- 13M.1.HL.TZ2.12: Two oscillators X and Y are undergoing forced oscillations each at a frequency close to the...
- 11M.2.SL.TZ2.4b: A liquid is contained in a U-tube. The pressure on the...
- 11M.2.HL.TZ2.13b: A liquid is contained in a U-tube. The...
- 11M.2.SL.TZ1.5a: For particle P, (i) state how graph 1 shows that its oscillations are not damped. (ii)...
- 09M.1.HL.TZ1.15: The graph below represents the variation with time of the displacement of an oscillating...
- 10M.1.SL.TZ1.13: A force that varies sinusoidally is applied to a system that is lightly damped. Which of the...