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In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type of periodic motion an object experiences due to a restoring force whose magnitude is directly proportional to the distance of the object from an equilibrium position and acts towards the equilibrium position.
Apr 4, 2024 · simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same.
- The Editors of Encyclopaedia Britannica
- Period and Frequency in Oscillations. In the absence of friction, the time to complete one oscillation remains constant and is called the period (T). Its units are usually seconds, but may be any convenient unit of time.
- Characteristics of Simple Harmonic Motion. A very common type of periodic motion is called simple harmonic motion (SHM). A system that oscillates with SHM is called a simple harmonic oscillator.
- Equations of SHM. Consider a block attached to a spring on a frictionless table (Figure 15.4). The equilibrium position (the position where the spring is neither stretched nor compressed) is marked as x=0x=0.
- Summary of Equations of Motion for SHM. In summary, the oscillatory motion of a block on a spring can be modeled with the following equations of motion
About this unit. Remember swingsets? You can swing high on them, but you can't get the swing to do a full circle. This is because of harmonic motion, which keeps an object oscillating (moving back and forth) within a specific range of motion. Let's explore harmonic motion and its applications.
Describe Hooke’s law and Simple Harmonic Motion; Describe periodic motion, oscillations, amplitude, frequency, and period; Solve problems in simple harmonic motion involving springs and pendulums
Sep 12, 2022 · Simple Harmonic Motion. Example 15.2: Determining the Equations of Motion for a Block and a Spring. Learning Objectives. Define the terms period and frequency. List the characteristics of simple harmonic motion. Explain the concept of phase shift. Write the equations of motion for the system of a mass and spring undergoing simple harmonic motion.
Harmonic motion refers to the motion an oscillating mass experiences when the restoring force is proportional to the displacement, but in opposite directions. Harmonic motion is periodic and can be represented by a sine wave with constant frequency and amplitude.
- 10 min
- Sal Khan
