The EJS Damped Driven Harmonic Oscillator Phasor model displays the motion of damped driven harmonic oscillator. The resulting differential equation can be extended into the complex plane, and the resulting complex solution is displayed with the real part of this solution being the position of the oscillator. The natural frequency of the oscillator, the damping coefficient, and the driving force and driving frequency can be changed via textboxes.
Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.
Subject:
Mathematics and Statistics, Science and Technology
This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
A realistic mass and spring laboratory. Hang masses from springs and adjust the spring stiffness and damping. You can even slow time. Transport the lab to different planets. A chart shows the kinetic, potential, and thermal energy for each spring.
Subject:
Mathematics and Statistics, Science and Technology
Try the new "Ladybug Motion 2D" simulation for the latest updated version. Learn about position, velocity, and acceleration vectors. Move the ball with the mouse or let the simulation move the ball in four types of motion (2 types of linear, simple harmonic, circle).
Subject:
Mathematics and Statistics, Science and Technology
This activity is a lab where students make measurements of a mass on a spring and work through appropriate calculations dealing with simple harmonic motion.
Subject:
Mathematics and Statistics, Science and Technology
Build your own system of heavenly bodies and watch the gravitational ballet. With this orbit simulator, you can set initial positions, velocities, and masses of 2, 3, or 4 bodies, and then see them orbit each other.
Subject:
Mathematics and Statistics, Science and Technology
This activity is an investigation into the period of a pendulum where students will write an equation for a pendulum experiencing simple harmonic motion.
This 10-minute video uses calculus to test whether Acos(wt) can describe the motion of the mass on a spring by substituting into the differential equation F=-kx. [Physics playlist: Lesson 92 of 164].
This 10-minute video lesson figures out the period, frequency, and amplitude of the harmonic motion of a mass attached to a spring without using calculus. [Physics playlist: Lesson 93 of 164].
This 10-minute video lesson considers the intuition behind the motion of a mass on a spring (some calculus near the end). [Physics playlist: Lesson 91 of 164].
Broadcast radio waves from KPhET. Wiggle the transmitter electron manually or have it oscillate automatically. Display the field as a curve or vectors. The strip chart shows the electron positions at the transmitter and at the receiver.
Subject:
Mathematics and Statistics, Science and Technology
For advanced undergraduate students: Observe resonance in a collection of driven, damped harmonic oscillators. Vary the driving frequency and amplitude, the damping constant, and the mass and spring constant of each resonator. Notice the long-lived transients when damping is small, and observe the phase change for resonators above and below resonance.
Subject:
Mathematics and Statistics, Science and Technology
Watch a string vibrate in slow motion. Wiggle the end of the string and make waves, or adjust the frequency and amplitude of an oscillator. Adjust the damping and tension. The end can be fixed, loose, or open.
Subject:
Mathematics and Statistics, Science and Technology
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