Simple harmonic motion is what we might say is happening when an object is in some non-complex periodic way. That is, the object experiences a force that displaces it, the displacement occurs and reaches some maximum value, and then the object returns to the "original" conditions and repeats the process. Let's take the example of a pendulum and consider what is happening.
The pendulum is started, and it swings (accelerates) down under the influence of gravity. At the bottom of its arc, it then swings up on the other side. It continues to move up (and decelerate) until it stops. The pendulum then begins to swing back down, reach some maximum velocity and the bottom of its arc, and then it swings back up to where it began. The pendulum has gone through one complete cycle of its motion, and because it is a repetitive cycle, it can be said to be simple harmonic motion. Frictional loss due to air and suspension components will eventually stop the pendulum, but we can use a small spring to off set this and keep the pendulum in fairly constant motion. You probably recognize this as the mechanism that is used in a clock.
The example of a spring may also be helpful. A spring with a weight is hanging from a support. The spring is pulled down slightly and released. The spring wants to return to its original position, and it pulls the weight up. That spring wants to return to its original position. But the weight "gathers" energy, and the spring is slightly compressed as the weight comtinues up past where the spring would like to have stopped. The weight finally does stop, and it starts back down. And (as you guessed), that weight goes past the point where the spring would like to have stopped, and it stretches it out again. The cycle will repeat, and only a bit of friction in air and in the spring will stop it eventually. As it continues to move, however, the weight and spring exhibit simple harmonic motion. The movement follows a fixed course and occurs over a given time, thus making this another example of repititious or periodic motion.
Whether it's a guitar string, a bouncing ball or something else that behaves in a similar way, they all can serve as examples of simple harmonic motion. A link can be found below for further understanding of simple harmonic motion, and the mathematics (which were omitted from this explanation) are included there. We'll also find the idea of the period of that motion (the amount of time required for a complete cycle of that motion) is introduced. The idea of amplitude, which speaks to the amount of displacement of the object or thing in periodic motion will also be presented. All of this is one mouse click away, and the curious investigator will make the jump.
The sound coming from the bell, and the vibration of the bell itself, is described as simple harmonic motion. The graph would be a diminishing sine wave.
If you take a snapshot of a physical wave (such as an ocean wave) using a camera for example, you can then measure the distance from one peak to the next. The spacing is the wavelength. See the "mathematical description" section of the related link. When an an electromagnetic wave is discussed, the wavelength is equal to the quotient (speed of light / frequency). The formula applies to other waves too, just that the speed of light being replaced with the speed of the specific wave in question. For a traveling wave, see the "simple harmonic motion" illustration in the link -- the peak of the wave is moving at a finite speed to the right (i.e. wave speed). The wave frequency is how many times, at any spot in space (the center line, or the two boundaries of the "simple harmonic motion" illustration can be selected to do the counting), the wave peaks, troughs, and then peak again. Visible lights, X-rays, microwave, and gamma rays, all have a range of frequencies published in the literature. =====================
The random motion of the gas molecules allows them to diffuse throughout the space available to them.
In a solid the particles are packed tightly together in a more raged formation . in a liquid the particles move passing each other in a gas the particles move freely in the space they have
Melodic, Harmonic, and Progression
Simple Harmonic motion is circular motion. Look at a graph showing simple harmonic motion... you'll see it.
Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. Practical examples include a swinging pendulum or a mass-spring system. Periodic motion, on the other hand, refers to any repeated motion that follows the same path at regular intervals, such as the motion of a wheel rotating. So, while all simple harmonic motion is periodic, not all periodic motion is necessarily simple harmonic.
Periodic motion refers to any motion that repeats at regular intervals, while simple harmonic motion is a specific type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. In simple terms, all simple harmonic motion is periodic, but not all periodic motion is simple harmonic.
A simple pendulum exhibits simple harmonic motion
The phase constant in simple harmonic motion can be determined by analyzing the initial conditions of the motion, such as the initial position and velocity of the object. It represents the starting point of the motion within the cycle of oscillation. By using these initial conditions and the equation of motion, the phase constant can be calculated.
A simple pendulum undergoes simple harmonic motion only for small amplitudes because for small amplitudes the motion almost reduces to a straight line motion. Simple harmonic motion means motion on a straight not on curves
Simple harmonic motion
A pendulum is not considered simple harmonic motion because its motion is affected by factors like air resistance and friction, which can cause deviations from the idealized simple harmonic motion pattern.
by using the formula we will calculat time period of simple harmonic motion
Frequency (f), Time (t) and Amplitude (a).
what is difference between simple harmonic motion and vibratory motion?
Yes, a motion can be oscillatory without being simple harmonic. Simple harmonic motion specifically refers to a type of oscillatory motion where the restoring force is directly proportional to the displacement. Other types of oscillatory motion can have different relationships between the restoring force and displacement, making them non-simple harmonic.