Exploring Simple Harmonic Motion

Mia is swinging on a swing set in the park. What is Simple Harmonic Motion (SHM) as it relates to her swinging?

• Any motion that does not return to its starting point.

• Simple Harmonic Motion (SHM) is periodic motion where the restoring force is proportional to the displacement from equilibrium.

• Motion that occurs in a straight line only.

• A type of motion that is always accelerating.

Liam is conducting an experiment with a simple pendulum. What is the formula for the period of his pendulum?

• T = √(L/g)

• T = 2πL/g

• T = 2π√(L/g)

• T = 2π(L/g)

Noah is conducting an experiment with a spring in a physics lab. How does the amplitude affect the energy of his simple harmonic motion (SHM) system?

• Increasing the amplitude decreases the energy of Noah's SHM system.

• The energy of Noah's SHM system is directly proportional to the amplitude.

• The energy of Noah's SHM system is independent of the amplitude.

• The energy of Noah's SHM system increases with the square of the amplitude.

During a physics class, Olivia asked her classmates about the characteristics of wave motion in SHM. What did she learn?

• Irregular oscillations

• Characteristics of wave motion in SHM include periodic oscillations, sinusoidal shape, constant amplitude, specific frequency, and a restoring force proportional to displacement.

• Variable amplitude

• Linear shape

Priya is studying the relationship between frequency and wavelength in Simple Harmonic Motion (SHM) during her physics class.

• Frequency and wavelength are inversely related in SHM; as frequency increases, wavelength decreases.

• Increasing frequency results in longer wavelengths in SHM.

• Frequency and wavelength are directly related in SHM; as frequency increases, wavelength also increases.

• In SHM, frequency and wavelength have no relationship; they are independent of each other.

Emma is swinging on a swing set. What is the significance of phase in her simple harmonic motion?

• The phase in SHM signifies the position and timing of the oscillation within its cycle.

• The phase is irrelevant in simple harmonic motion.

• The phase determines the amplitude of the oscillation.

• The phase indicates the frequency of the oscillation.

Priya is studying the principles of SHM in her engineering class. Describe one real-world application of SHM that she might encounter in engineering.

• Vibrating strings in musical instruments

• Pendulum clocks in timekeeping

• Suspension systems in vehicles.

• Seismic isolation in buildings

Evelyn is conducting an experiment with a spring in her physics class. How does damping affect the motion of her harmonic oscillator?

• Damping increases the amplitude of oscillations and adds energy over time.

• Damping decreases the amplitude of oscillations and causes the harmonic oscillator to lose energy over time, eventually coming to rest.

• Damping has no effect on the motion of a harmonic oscillator.

• Damping causes the harmonic oscillator to oscillate indefinitely without losing energy.

Evelyn is studying the properties of waves in her physics class. What is the difference between longitudinal and transverse waves in SHM?

• Longitudinal waves oscillate perpendicular to the direction of travel; transverse waves oscillate in the direction of travel.

• Longitudinal waves oscillate in the direction of travel; transverse waves oscillate perpendicular to the direction of travel.

• Transverse waves can only travel through solids, while longitudinal waves can travel through all states of matter.

• Both longitudinal and transverse waves oscillate in the same direction of travel.

Kai is observing a mass-spring system in physics class. What role does SHM play in the functioning of this system?

• SHM describes the constant velocity of the mass in a mass-spring system.

• SHM only applies to systems without friction.

• SHM prevents the mass from moving in a mass-spring system.

• SHM describes the oscillatory motion of the mass in a mass-spring system.