Simple Harmonic Motion is a type of periodic motion where the restoring force is directly proportional to the displacement from the equilibrium position and is directed towards it.
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Is SHM periodic and repetitive?
Yes, SHM is periodic and repetitive.
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What is the relationship between acceleration and displacement in SHM?
The acceleration is directly proportional to the displacement and is always directed towards the equilibrium position.
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When is the velocity maximum in SHM?
The velocity is maximum at the equilibrium position and minimum at the extreme positions.
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Are displacement, velocity, and acceleration sinusoidal functions of time in SHM?
Yes, the displacement, velocity, and acceleration are all sinusoidal functions of time in SHM.
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Is the period of oscillation dependent on the amplitude in SHM?
No, the period of oscillation is independent of the amplitude in SHM.
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What are some examples of SHM?
Examples of SHM include a mass attached to a spring and oscillating vertically or a pendulum swinging back and forth.
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What is the displacement equation in SHM?
Displacement: x \= A cos(ωt + φ), where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.
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What is the velocity equation in SHM?
Velocity: v \= -Aω sin(ωt + φ), where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.
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What is the acceleration equation in SHM?
Acceleration: a \= -Aω^2 cos(ωt + φ), where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.
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What is the total mechanical energy equation in SHM?
Total energy: E \= 1/2 kA^2, where k is the spring constant and A is the amplitude.
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What is the kinetic energy equation in SHM?
Kinetic energy: K \= 1/2 mv^2, where m is the mass and v is the velocity.
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What is the potential energy equation in SHM?
Potential energy: U \= 1/2 kx^2, where k is the spring constant and x is the displacement.
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What is the force equation in SHM?
F \= -kx, where k is the spring constant and x is the displacement.
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What is amplitude?
Amplitude is a measure of the magnitude of a wave. It is the maximum displacement of a particle from its equilibrium position in a wave.
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How is amplitude measured?
Amplitude is measured in meters (m) for a mechanical wave and in volts (V) for an electromagnetic wave.
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What does the amplitude of a wave determine?
The amplitude of a wave determines its intensity and energy.
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How does the amplitude of a wave affect force?
The amplitude of a wave can also affect the force.
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What is the period of a wave?
The period of a wave is the time it takes for one complete cycle of the wave to occur.
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What is the frequency of a wave?
The frequency of a wave is the number of complete cycles of the wave that occur in one s
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