Unit 6: Simple Harmonic Motion

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What is Simple Harmonic Motion?

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1

What is Simple Harmonic Motion?

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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2

Is SHM periodic and repetitive?

Yes, SHM is periodic and repetitive.

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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

What is the force equation in SHM?

F = -kx, where k is the spring constant and x is the displacement.

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15

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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16

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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17

What does the amplitude of a wave determine?

The amplitude of a wave determines its intensity and energy.

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18

How does the amplitude of a wave affect force?

The amplitude of a wave can also affect the force.

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19

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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20

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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