Degrees of freedom


by Jhansi1990@gma
Tags: degrees, freedom
Jhansi1990@gma
Jhansi1990@gma is offline
#1
Feb8-13, 03:43 AM
P: 4
What are the number of degrees of freedom of
1)a square sheet moving in XY plane
2)a triangular lamina moving freely in XY plane
Phys.Org News Partner Physics news on Phys.org
Information storage for the next generation of plastic computers
Scientists capture ultrafast snapshots of light-driven superconductivity
Progress in the fight against quantum dissipation
mfb
mfb is offline
#2
Feb8-13, 01:26 PM
Mentor
P: 10,769
This looks like homework: What did you find out so far?
Jhansi1990@gma
Jhansi1990@gma is offline
#3
Feb10-13, 02:48 PM
P: 4
A square is composed of many particles with the constraint that distance between every particle is the fixed.so such a square is moving in XY plane.

if i consider two particles they have 4-1 =3degree of freedom(one is subtracted due to constraint that distance between particles are fixed).if i consider third particle it is defined by two co-ordinates and two constraints and therefore no degree of freedom.....the same for fourth fifth and so on.....

so my answer is three

and i dont find any difference in this respect with a triangular lamina......



I do not know the answer to the question.......please comment on this and say if you have any other opinion.

mfb
mfb is offline
#4
Feb10-13, 03:38 PM
Mentor
P: 10,769

Degrees of freedom


Those 3 degrees of freedom just fix the current position of the square. What about its movement?
Jhansi1990@gma
Jhansi1990@gma is offline
#5
Feb10-13, 03:45 PM
P: 4
if i get generalized co-ordinates i can calculate co-ordinate velocities from it
mfb
mfb is offline
#6
Feb10-13, 03:46 PM
Mentor
P: 10,769
Is that related to the original question?
What do you mean with "get"?
Jhansi1990@gma
Jhansi1990@gma is offline
#7
Feb10-13, 04:12 PM
P: 4
The question does not ask that .But i told a general principle.For example a simple pendulum which is oscillating in a plane.since its moving along the arc of a circle(distance from orgin is fixed) it has only one degree of freedom....theta.....which is the angle dat the string makes with vertical.......so if i know theta as a function of time.....i can differentiate "theta" to find generalised co-ordinate velocity


Register to reply

Related Discussions
What are degrees of freedom Classical Physics 3
Degrees of Freedom Special & General Relativity 0
Degrees of Freedom General Physics 3
degrees of freedom General Physics 7
Degrees of Freedom Quantum Physics 3