As it is shown in figure 1, 2 point masses are suspended in series by mass less springs
from a fixed point. We call the upper point mass and the lower point mass as PM1 and
PM2, respectively. We also call the upper spring and the lower spring as SP1 and SP2,
respectively. Masses of both PM1 and PM2 are m. Natural lengthes of both SP1 and SP2
are a. Spring constant of SP1 and SP2 are k1 and k2, respectively.
We take the fixed point as the origin of the coordinate system and take +x axis downward.
Time dependent positions of PM1 and PM2 are x1 and x2, respectively. g expresses the
acceleration of gravity.
(1) Obtain a total potential energy U.
from a fixed point. We call the upper point mass and the lower point mass as PM1 and
PM2, respectively. We also call the upper spring and the lower spring as SP1 and SP2,
respectively. Masses of both PM1 and PM2 are m. Natural lengthes of both SP1 and SP2
are a. Spring constant of SP1 and SP2 are k1 and k2, respectively.
We take the fixed point as the origin of the coordinate system and take +x axis downward.
Time dependent positions of PM1 and PM2 are x1 and x2, respectively. g expresses the
acceleration of gravity.
(1) Obtain a total potential energy U.
