## Degrees of freedom

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

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 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.

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