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Questions and Answers
What is the symbol for the amplitude of an object in simple harmonic motion?
What is the symbol for the amplitude of an object in simple harmonic motion?
What is the unit of frequency in simple harmonic motion?
What is the unit of frequency in simple harmonic motion?
What is the relationship between frequency and period in simple harmonic motion?
What is the relationship between frequency and period in simple harmonic motion?
What type of force does a spring exert on a mass in a spring system?
What type of force does a spring exert on a mass in a spring system?
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What is characterizing of oscillations in simple harmonic motion?
What is characterizing of oscillations in simple harmonic motion?
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Which of the following is an example of a system that exhibits simple harmonic motion?
Which of the following is an example of a system that exhibits simple harmonic motion?
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What is the maximum displacement of an object from its equilibrium position in simple harmonic motion?
What is the maximum displacement of an object from its equilibrium position in simple harmonic motion?
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What is the time taken by the object to complete one oscillation in simple harmonic motion?
What is the time taken by the object to complete one oscillation in simple harmonic motion?
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What is the number of oscillations per second in simple harmonic motion?
What is the number of oscillations per second in simple harmonic motion?
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What is the type of oscillation where the restoring force is proportional to the displacement in simple harmonic motion?
What is the type of oscillation where the restoring force is proportional to the displacement in simple harmonic motion?
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What is the force exerted by a spring in a spring system?
What is the force exerted by a spring in a spring system?
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What is the equation that describes the force exerted by a spring in a spring system?
What is the equation that describes the force exerted by a spring in a spring system?
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Study Notes
Simple Harmonic Motion (SHM)
Amplitude
- Maximum displacement of an object from its equilibrium position
- Symbol: A
- Units: meters (m)
- Represents the maximum magnitude of the oscillation
Period
- Time taken by an object to complete one oscillation
- Symbol: T
- Units: seconds (s)
- Represents the time interval between successive oscillations
Frequency
- Number of oscillations per second
- Symbol: f
- Units: hertz (Hz)
- Represents the number of cycles per second
- Related to period by: f = 1/T
Spring Systems
- A common example of SHM
- Consists of a mass attached to a spring
- When the mass is displaced from its equilibrium position, the spring exerts a force proportional to the displacement
- The force causes the mass to oscillate about the equilibrium position
Oscillations
- Repeated back-and-forth motion of an object about its equilibrium position
- Characterized by a constant acceleration towards the equilibrium position
- Can be described by a sinusoidal function
- Examples: pendulum, vibrating string, and spring-mass systems
Simple Harmonic Motion (SHM)
Characteristics
- Maximum displacement of an object from its equilibrium position is called amplitude (A) and is measured in meters (m)
- Time taken by an object to complete one oscillation is called period (T) and is measured in seconds (s)
- Number of oscillations per second is called frequency (f) and is measured in hertz (Hz)
- Frequency is related to period by the equation: f = 1/T
Spring Systems
- A common example of SHM is a spring system, consisting of a mass attached to a spring
- When the mass is displaced from its equilibrium position, the spring exerts a force proportional to the displacement
- The force causes the mass to oscillate about the equilibrium position
Oscillations
- Repeated back-and-forth motion of an object about its equilibrium position
- Characterized by a constant acceleration towards the equilibrium position
- Can be described by a sinusoidal function
- Examples include pendulum, vibrating string, and spring-mass systems
Simple Harmonic Motion (SHM)
- Maximum displacement of an object from its equilibrium position is called amplitude, represented by A and measured in meters.
- Amplitude is the maximum distance from the equilibrium position.
Period (T)
- Time taken by the object to complete one oscillation is called period, represented by T and measured in seconds.
- Period is the time for one complete cycle.
Frequency (f)
- Number of oscillations per second is called frequency, represented by f and measured in hertz.
- Frequency is the reciprocal of the period, mathematically expressed as f = 1/T.
Oscillations
- Repeated back-and-forth motion of an object around its equilibrium position is called oscillation.
- SHM is a type of oscillation where the restoring force is proportional to the displacement.
- Oscillations can be described by sine and cosine functions.
Spring Systems
- A type of SHM system where a spring is stretched or compressed, exhibiting SHM due to the spring's restoring force.
- The spring exerts a restoring force (F) proportional to the displacement (x) from the equilibrium position, following the equation F = -kx.
- The spring constant is represented by k.
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Description
Test your knowledge of Simple Harmonic Motion, covering amplitude, period, and frequency concepts in physics.
