Free oscillation with one and two degrees of freedom?
 

Hi everyone.. I have covered the topic free oscillations from Halliday Resnick and Krane but I could not find material for degrees of freedom in free oscillations. If anyone has any material regarding this, kindly share it here. Any help will be highly appreciated. Thanks

[QUOTE=Kayani29;403814]Hi everyone.. I have covered the topic free oscillations from Halliday Resnick and Krane but I could not find material for degrees of freedom in free oscillations. If anyone has any material regarding this, kindly share it here. Any help will be highly appreciated. Thanks[/QUOTE]
AOA

Coupled oscillations

The harmonic oscillator and the systems it models have a single degree of freedom. More complicated systems have more degrees of freedom, for example two masses and three springs (each mass being attached to fixed points and to each other). In such cases, the behavior of each variable influences that of the others. This leads to a coupling of the oscillations of the individual degrees of freedom. For example, two pendulum clocks (of identical frequency) mounted on a common wall will tend to synchronise. This phenomenon was first observed by Christiaan Huygens in 1665.[1] The apparent motions of the compound oscillations typically appears very complicated but a more economic, computationally simpler and conceptually deeper description is given by resolving the motion into normal modes.

More special cases are the coupled oscillators where the energy alternates between two forms of oscillation. Well-known is the Wilberforce pendulum, where the oscillation alternates between an elongation of a vertical spring and the rotation of an object at the end of that spring.
[edit] Continuous systems – waves

As the number of degrees of freedom becomes arbitrarily large, a system approaches continuity; examples include a string or the surface of a body of water. Such systems have (in the classical limit) an infinite number of normal modes and their oscillations occur in the form of waves that can characteristically prop

i also find this link useful

[url]http://www.utwente.nl/ewi/tst/education/el-bach/mandtint/Sheets/slides04.pdf[/url]

regards

Thanks Saba you have cleared the concept. JazakAllah

Another thing I want to confirm is that do we have to prepare Sound Waves as well because there are no topic of Sound mentioned in the syllabus. I am confused about this because sound is quite an important topic of waves :S

i ve seen a question in past paperz regarding sound waves.dnt knw what was the year

Yes there are numericals from sound waves and a particular conceptual question is also there in 2011 paper.. now this is quite confusing :S

just telling u my own perception ...try to follow punjab university BSC syllabus bcz there are several topics which are not seperatly given in css syllabus but in paperz their question has given...i.e sound waves, lenz law etc etc