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Questions and Answers
What is the symbol used to represent the amplitude of an object in simple harmonic motion?
What is the symbol used to represent the amplitude of an object in simple harmonic motion?
- T
- E
- A (correct)
- f
What is the relationship between the frequency and period of an object in simple harmonic motion?
What is the relationship between the frequency and period of an object in simple harmonic motion?
- T = 2f
- f = 1/T (correct)
- f = T
- T = f
What type of damping occurs when the frictional force is proportional to velocity squared?
What type of damping occurs when the frictional force is proportional to velocity squared?
- Coulomb damping
- Static friction
- Air resistance (correct)
- Viscous damping
What happens to the energy of an object in simple harmonic motion at the equilibrium position?
What happens to the energy of an object in simple harmonic motion at the equilibrium position?
Which of the following is an example of energy transfer in simple harmonic motion?
Which of the following is an example of energy transfer in simple harmonic motion?
What happens to the amplitude of an object in simple harmonic motion due to damping?
What happens to the amplitude of an object in simple harmonic motion due to damping?
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Study Notes
Simple Harmonic Motion
Amplitude
- Maximum displacement of an object from its equilibrium position, represented by symbol 'A' and measured in meters (m)
- Affects the energy of the oscillation, but not the frequency
Frequency
- Number of oscillations per second, represented by symbol 'f' and measured in hertz (Hz)
- Related to period by equation: f = 1/T
Period
- Time taken for one complete oscillation, represented by symbol 'T' and measured in seconds (s)
- Related to frequency by equation: T = 1/f
Damping
- Reduction of amplitude over time due to external forces
- Types of damping:
- Viscous damping: frictional force proportional to velocity
- Coulomb damping: frictional force constant and independent of velocity
- Air resistance: frictional force proportional to velocity squared
- Affects amplitude, but not frequency or period
Energy Transfer
- Energy is transferred between kinetic and potential forms during oscillation
- At equilibrium position, all energy is kinetic
- At maximum displacement, all energy is potential
- Energy is conserved, but can be lost due to damping
- Examples of energy transfer:
- Pendulum: gravitational potential energy → kinetic energy
- Spring-mass system: elastic potential energy → kinetic energy
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