Universidad de La Rioja · 2005-12-01 · .0>d't.0+kpw8%-,=0258x.0+xpw>d-e2!>d2!+ '*)k>d-n.0+xj...

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Transcript of Universidad de La Rioja · 2005-12-01 · .0>d't.0+kpw8%-,=0258x.0+xpw>d-e2!>d2!+ '*)k>d-n.0+xj...

Page 1: Universidad de La Rioja · 2005-12-01 · .0>d't.0+kpw8%-,=0258x.0+xpw>d-e2!>d2!+ '*)k>d-n.0+xj 8:.r8x=0'r8x.0+xpy8:-e4r8h9e)#n p j =0pw8:-e-,+xpvpy8:258t;qp~n >d

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L(R cm )

O

M

mtotal g

ω

O

giroscopio

contrapeso

A

c.m.eje

girsocopio

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K6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6KK6K6K6K6K6K6K6K

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mtotal gMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNMMNMNMNMNMNMNMNMNMNMNMNMNMNM

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(R cm )O

M

M = (R cm )O

mtotal

g senγ

precΩ

c.m.

ω

giroscopio

A

contrapeso

eje giroscopio

O

γ

PRECESION

PNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNPPNPNPNPNPNPNPNPNPNPNPNPNPNP

QNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQQNQNQNQNQNQNQNQNQNQNQNQNQNQ

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Page 15: Universidad de La Rioja · 2005-12-01 · .0>d't.0+kpw8%-,=0258x.0+xpw>d-e2!>d2!+ '*)k>d-n.0+xj 8:.r8x=0'r8x.0+xpy8:-e4r8h9e)#n p j =0pw8:-e-,+xpvpy8:258t;qp~n >d

L∆t =∆M

L(t)

L t∆(t+ )sen γ

L (t) sen γ

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γ

plano paralelo al suelo

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xeq

2Epot elast

= K2

=2cin

E vmax

2m

Epot gr

= m g xeq

eqx

Epot gr

= 0

Epot elast

= K2

(2xeq

)2

= 0cin

E

Epot gr

= m g 2xeq

Epot elast

= 0

= 0cin

E

= mgKxeq

POSICION EQUILIBRIO

masa

MUELLE SIN COMPRIMIR

mue

lle

MUELLE COMPRIMIDOAL MAXIMO

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prec

βprec

eje giroscopio inclinado 2

vc.m.

trayectoria del extremodel eje del giroscopio

precΩ

disco

eje giroscopio horizontal(antes de soltarlo)

PARA PRECESIONc.m.

velocidad del c.m.ω

POSICION DE EQUILIBRIO

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contrapeso+ pesa A

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