# 10.2 Simple harmonic motion: a special periodic motion

 Page 1 / 7
• Describe a simple harmonic oscillator.
• Explain the link between simple harmonic motion and waves.

The oscillations of a system in which the net force can be described by Hooke’s law are of special importance, because they are very common. They are also the simplest oscillatory systems. Simple Harmonic Motion (SHM) is the name given to oscillatory motion for a system where the net force can be described by Hooke’s law, and such a system is called a simple harmonic oscillator    . If the net force can be described by Hooke’s law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position, as shown for an object on a spring in [link] . The maximum displacement from equilibrium is called the amplitude     $X$ . The units for amplitude and displacement are the same, but depend on the type of oscillation. For the object on the spring, the units of amplitude and displacement are meters; whereas for sound oscillations, they have units of pressure (and other types of oscillations have yet other units). Because amplitude is the maximum displacement, it is related to the energy in the oscillation.

## Take-home experiment: shm and the marble

Find a bowl or basin that is shaped like a hemisphere on the inside. Place a marble inside the bowl and tilt the bowl periodically so the marble rolls from the bottom of the bowl to equally high points on the sides of the bowl. Get a feel for the force required to maintain this periodic motion. What is the restoring force and what role does the force you apply play in the simple harmonic motion (SHM) of the marble?

What is so significant about simple harmonic motion? One special thing is that the period $T$ and frequency $f$ of a simple harmonic oscillator are independent of amplitude. The string of a guitar, for example, will oscillate with the same frequency whether plucked gently or hard. Because the period is constant, a simple harmonic oscillator can be used as a clock.

Two important factors do affect the period of a simple harmonic oscillator. The period is related to how stiff the system is. A very stiff object has a large force constant $k$ , which causes the system to have a smaller period. For example, you can adjust a diving board’s stiffness—the stiffer it is, the faster it vibrates, and the shorter its period. Period also depends on the mass of the oscillating system. The more massive the system is, the longer the period. For example, a heavy person on a diving board bounces up and down more slowly than a light one.

how may I solve arithmetic mean ,,,all example
what is agriculture
simple method of understanding cost concept
what is inflation
Inflation is a general increase in price levels
Zuko
is the action of inflating something
Abdifatah
inflation is the persistent increase in general price level of goods and services in an economy over a considerable period of time .
Tetteh
inflation is the general increase of a commodity in a particular period of time.
Turay
inflation is a general increase in price levels of commodities
shehu
what are the types of inflation?
Ebrima
inflation is the period of persistent rise in the general level of the price of goods services over time
Emmanuel
we have creeping inflation, demand pull inflation ,cost push inflation, and galloping inflation .
Emmanuel
how can a location of a firm create difference between producers
what is monetary policy
joy
hello
Abdifatah
is a monetary from policy that's authorized of country encharces
Abdifatah
What would you say about the the mobility of enterprise as a factor of production?
how can I connect myself to this Ambrose platform
I am good and you I am from sierra Leone and I am new her
u are welcome bro, here is a good platform for you to be
Alie
That i know,thanks bro.
what the main definition of economic
what is economics
what do you mean by means in economics
Julie
economic is the wealth of a country.
Moussa
monetary policy is refer to as being expansionary or contractionary.
Abdul
pls who can help me to explain money market and capital market
Au
money market is base on short term loan which is within one year period while capital market is long term loan more than one year...
money market is a market were short term loans are dealt with while capital market is a market were long term loans are traded
Ebrima
What is mean by monetory policy
Lovely
monetary polices are rules that control the rate of monetary exchange in an economic as a whole.
Ebrima
wealth of the nation
Uhara
important of unemployment
Important of unemployed
Otwe
important?
Aneela
what is meaning scarcity
Scarcity can be define as human wants to goods,services,resources for exceed of what is available
Uhara
hi guys
Ibrahim
How are you
Abdul
Can be defined as the inability to get everything we want
Zuko
less ability for the available goods and services that's on sale
kanu
what is the definition of money market
joy
what is consumer
how do consumer help people
Brenda
Jayah
How do you mean Jayah
Danjuma
what is different between price and quantity
Yakubu
what is MRS
Rashid
definition of economics according to Adam Smith
economic is a wealth of nation
Au
in the view of Adam Smith economics is the study of activities of people in production of wealth
suresh
Economics is any human activity that lead to the provision of substance and or amassing wealth.
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Jeannette has $5 and$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Got questions? Join the online conversation and get instant answers!