Harmonic Motion Assessment

What is harmonic motion?

• Harmonic motion occurs only in non-periodic systems.

• Harmonic motion is periodic motion characterized by oscillation around an equilibrium position.

• Harmonic motion is a type of linear motion without oscillation.

• Harmonic motion is characterized by random movement without a fixed point.

Define the term 'amplitude' in the context of harmonic motion.

• Amplitude refers to the frequency of oscillation in harmonic motion.

• Amplitude is the average speed of an object in motion.

• Amplitude is the maximum displacement from the equilibrium position in harmonic motion.

• Amplitude is the total energy of the system in harmonic motion.

What is the formula for the period of a simple harmonic oscillator?

• T = 2π(m/k)

• T = 2π√(m/k)

• T = 2π√(k/m)

• T = √(m/k)

Explain the significance of the spring constant in harmonic motion.

• The spring constant only affects the mass of the spring.

• The spring constant has no effect on the motion of the spring.

• The spring constant is significant as it determines the stiffness of the spring and influences the frequency of oscillation in harmonic motion.

• The spring constant is irrelevant in non-harmonic motion.

How does mass affect the frequency of a simple harmonic oscillator?

• Mass negatively affects the frequency of a simple harmonic oscillator; as mass increases, frequency decreases.

• Frequency is independent of mass in a simple harmonic oscillator.

• Mass has no effect on the frequency of a simple harmonic oscillator.

• Increasing mass increases the frequency of a simple harmonic oscillator.

What is the relationship between frequency and period in harmonic motion?

• Increasing frequency results in a longer period; T = 1/f.

• Frequency is the same as period; f = T.

• Frequency and period are inversely related; f = 1/T.

• Frequency and period are directly proportional; f = T.

Describe the energy transformations that occur in a simple harmonic oscillator.

• Energy is conserved and does not transform in a simple harmonic oscillator.

• Energy transforms between kinetic and potential energy in a simple harmonic oscillator.

• Only potential energy is present in a simple harmonic oscillator.

• Kinetic energy is transformed into thermal energy in a simple harmonic oscillator.

What is the phase constant in harmonic motion?

• The phase constant \( \phi \) in harmonic motion.

• The amplitude in harmonic motion.

• The maximum displacement from equilibrium.

• The frequency of the oscillation.

How do damping forces affect harmonic motion?

• Damping forces have no effect on the energy of harmonic motion.

• Damping forces decrease the amplitude and energy of harmonic motion, leading to eventual cessation of oscillations.

• Damping forces cause harmonic motion to oscillate indefinitely.

• Damping forces increase the amplitude of harmonic motion.

Provide an example of a real-world system that exhibits harmonic motion.

• A falling apple.

• A rotating wheel.

• A bouncing basketball.

• A swinging pendulum.