Harmonic Oscillation Quiz

Emma is studying the motion of a pendulum in her physics class. She learns that the equation of motion for a simple harmonic oscillator can be represented mathematically. What is the equation of motion for a simple harmonic oscillator?

• $x(t) = A \cos(\omega t + \phi)$

• $x(t) = A e^{-\lambda t}$

• $x(t) = A \sin(\omega t)$

• $x(t) = A + Bt$

Abigail is swinging on a swing set in the park. In simple harmonic motion, what does the term "amplitude" refer to?

• The maximum speed of the oscillating object

• The maximum displacement from the equilibrium position

• The time taken to complete one full cycle

• The restoring force acting on the object

Tags

NGSS.HS-PS4-1

Aiden is observing the motion of a pendulum clock in his physics class. Which of the following is an application of harmonic motion?

• The motion of a pendulum clock

• The flow of electricity in a circuit

• The trajectory of a projectile

• The diffusion of gases

Harper is studying the motion of a pendulum in her physics class. She learns that the period of a simple harmonic oscillator is given by the formula $T = 2\pi\sqrt{\frac{m}{k}}$. What does this period represent?

• The time taken for one complete cycle

• The maximum displacement from equilibrium

• The frequency of oscillation

• The total energy of the system

In the context of mathematical modeling of oscillations, what does the term "frequency" represent?

• The number of oscillations per unit time

• The maximum displacement from equilibrium

• The restoring force per unit displacement

• The total energy of the oscillator

Tags

NGSS.HS-PS4-1

Emma is studying the potential energy of a simple harmonic oscillator in her physics class. Which of the following equations represents the potential energy of this system?

• $U = \frac{1}{2} k x^2$

• $U = mgh$

• $U = \frac{1}{2} mv^2$

• $U = kx$

Aria is studying the relationship between the frequency ($f$) and the angular frequency ($\omega$) in simple harmonic motion. What is the correct relationship?

• $f = \frac{\omega}{2\pi}$

• $f = \omega^2$

• $f = 2\pi\omega$

• $f = \frac{1}{\omega}$

Tags

NGSS.HS-PS4-1

Grace is playing with a mass-spring system in her physics class. Which of the following describes the motion of the mass-spring system in simple harmonic motion?

• The mass moves in a straight line

• The mass oscillates back and forth around an equilibrium position

• The mass moves in a circular path

• The mass remains stationary

In a simple harmonic oscillator, if Ethan doubles the mass of the object while keeping the spring constant the same, how does the period change?

• The period increases

• The period decreases

• The period remains the same

• The period becomes zero

Mia is studying the motion of a mass attached to a spring, which oscillates back and forth. What is the total mechanical energy of this simple harmonic oscillator?

• $E = \frac{1}{2} k A^2$

• $E = mgh$

• $E = \frac{1}{2} mv^2 + \frac{1}{2} kx^2$

• $E = kx$

Tags

NGSS.HS-PS3-2