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Old Dec 17th 2018, 01:38 AM   #1
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Exclamation Degree of freedom

What does the term 'degree of freedom' mean?
How can we find it ,for various substances?
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Old Dec 17th 2018, 04:30 AM   #2
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"Degrees of freedom" refers to the number of free choices we have of number to specify a given situation. If a problem refers to the motion of a particle that could be anywhere on a given line then the particle has one degree of freedom since we could choose an arbitrary point on that line to be "0" and specify the position of the particle as the distance, positive or negative from that point. If the particle can be anywhere on a given plane it has "two degrees of freedom" since we could designate its position on an xy- coordinate system. If the particle could be anywhere in space, it has three "degrees of freedom". Extending that, if the particle could be anywhere in space with any velocity vector, then we need 6 numbers to specify it- three coordinate for its position and three for its velocity vector- 6 "degrees of freedom".
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Old Dec 20th 2018, 12:47 AM   #3
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Degree of freedom is the number of independent coordinates required to completely specify to position or motion of an object. Example : a particle moving in along the circumference of a circle requires just an angle theater to completely locate it on dat circle since the radius is constant e. g a pendulum oscillating in a plane. A projectile in space has 3 degrees of freedom will the4 require 3 generalized coordinates to specify its motion, that is our normal 3D vectors. And so on
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