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Introduction to Mechanics: Simple Harmonic Motion and Non-Inertial Reference Frames

Learn how to solve and understand simple harmonic motion in this calculus-based physics course.

Introduction to Mechanics: Simple Harmonic Motion and Non-Inertial Reference Frames

Learn how to solve and understand simple harmonic motion in this calculus-based physics course.

This online physics course is the fourth in the xSeries that covers calculus-based mechanics. You will first explore simple harmonic motion through springs and pendulums. Following that lesson, you will learn how to solve the simple harmonic motion (SHM) differential equation and how to use the Taylor Formula for small oscillations.

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Next, you will learn how to modify Newton’s second law for both linear and rotational non-inertial reference frames. In particular, you will learn about the centrifugal and Coriolis fictitious forces. You will then study their applications, such as dynamics in the Earth’s atmosphere.

The xSeries in Introduction to Mechanics is a four-part series of online courses that is based on the MIT subject 8.01: Physics I, required of all MIT undergraduates.

What you'll learn

  • Kinematics
  • Newton’s Laws
  • Circular Motion
  • Resistive Forces. Constraints, and Massive Ropes

Prerequisites

  • Calculus 1A: Differentiation
  • Calculus 1B: Integration
  • Calculus 1C: Coordinate Systems & Infinite Series
  • Mechanics: Kinematics and Dynamics
  • Mechanics: Momentum and Energy
  • Mechanics: Rotational Dynamics

Meet your instructors

  • Featured image for Deepto Chakrabarty
    Professor of Physics and Astrophysics Division Head in the Physics Department at MIT
  • Featured image for Peter Dourmaskin
    Senior Lecturer in the Department of Physics at MIT
  • Featured image for Analia Barrantes
    Physics Lecturer at the Experimental Study Group at MIT
  • Featured image for Saif Rayyan
    Former Assistant Director of Academic Programs at the MIT Abdul Latif Jameel World Education Lab (J-WEL).
  • Featured image for Michelle Tomasik
    Lecturer in the Department of Physics at MIT
  • Featured image for George Stephans
    Senior Research Scientist in the Laboratory for Nuclear Science and a Senior Lecturer in the Physics Department at MIT

Who can take this course?

Because of U.S. Office of Foreign Assets Control (OFAC) restrictions and other U.S. federal regulations, learners residing in one or more of the following countries or regions will not be able to register for this course: Iran, Cuba, Syria, North Korea and the Crimea, Donetsk People's Republic and Luhansk People's Republic regions of Ukraine.