2 masses connected by spring


by dowjonez
Tags: connected, masses, spring
dowjonez
dowjonez is offline
#1
Feb26-06, 04:45 PM
P: 22
consider two different masses m1 and m2. They are connected together by a spring. Assuming the spring has a spring constant k. Assume the equilibrium positions are x1= 0 and x2 = 0. Find the period of oscillation.


I know the the angular frequency is a function of both masses not just one mass like a fixed system.


im really stuck on this one
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
Astronuc
Astronuc is offline
#2
Feb26-06, 05:08 PM
Admin
Astronuc's Avatar
P: 21,637
Yep, this is a tricky problem because nothing is fixed and the center of mass can moved. However, at equilibrium, the spring length is given by the difference in the equilibrium positions of both masses.

Are you sure about x1 = 0 and x2 = 0?
dowjonez
dowjonez is offline
#3
Feb26-06, 05:14 PM
P: 22
yes thats what it says in the question. Im thinking that the x1 and x2 coordinates must be the displacement. So at time 0 neither are displaced. Also it was given that the mode of motion for the system was a stretching mode.

Ratzinger
Ratzinger is offline
#4
Feb26-06, 05:17 PM
P: 302

2 masses connected by spring


Since this a very important piece of physics I'm sure there is plenty on the internet.

Just goggle coupled harmonic osciallators or normal modes.
Ratzinger
Ratzinger is offline
#5
Feb26-06, 05:40 PM
P: 302
http://www.andrew.cmu.edu/course/33-231/coup-osc.pdf


Register to reply

Related Discussions
Mechanics Question - Atoms Modelled As A Chain of Masses Connected By A Spring Advanced Physics Homework 4
Two Masses connected by Spring, Falling Advanced Physics Homework 0
SHM: Impulse applied to two masses connected by spring Advanced Physics Homework 3
Question about two falling masses connected with a spring Introductory Physics Homework 2