Problema 4

Un péndulo simple tiene un período de [Graphics:../Images/index_gr_94.gif] [[Graphics:../Images/index_gr_95.gif]]. a) Cual es su longitud?, b) Cual será período en la Luna, donde la aceleración de la gravedad es de [Graphics:../Images/index_gr_96.gif]? [Los datos entre corchetes corresponden al tema 2.]

Los datos del problema son, en el tema 1:

[Graphics:../Images/index_gr_97.gif]

Y en el tema 2:

[Graphics:../Images/index_gr_98.gif]

El período de un péndulo es:

[Graphics:../Images/index_gr_99.gif]
[Graphics:../Images/index_gr_100.gif]

Despejando [Graphics:../Images/index_gr_101.gif]:

[Graphics:../Images/index_gr_102.gif]
[Graphics:../Images/index_gr_103.gif]
[Graphics:../Images/index_gr_104.gif]
[Graphics:../Images/index_gr_105.gif]
[Graphics:../Images/index_gr_106.gif]
[Graphics:../Images/index_gr_107.gif]
[Graphics:../Images/index_gr_108.gif]
[Graphics:../Images/index_gr_109.gif]

En la luna:

[Graphics:../Images/index_gr_110.gif]
[Graphics:../Images/index_gr_111.gif]
[Graphics:../Images/index_gr_112.gif]
[Graphics:../Images/index_gr_113.gif]
[Graphics:../Images/index_gr_114.gif]
[Graphics:../Images/index_gr_115.gif]


Converted by Mathematica      November 29, 2003