haruspex, I have attempted to find the eigenvectors but I haven't been able to narrow the unknown variables down to 2. In each attempt I've been left with thetaA, thetaB, Ma, and Mb. I'm not sure how to determine the eigenvectors with that many unknowns
Thank you for the response. For one of the normal modes I came up with what you were explaining, which is that the spring remains at its equilibrium length, or, in other words, θa = θb. This makes sense with the equations I came up with in part (a) because (k/Ma)(θa - θb) becomes zero, leaving...
Homework Statement
Consider 2 pendulums with the same length L, but 2 different masses Ma and Mb. They are coupled by a spring of spring constant k which is attached to the bobs (the masses).
a) find the equations of motion
b) find the frequencies and configurations of the normal modes...
[b]1. There is a central mass Mc connected by two identical springs of spring constant k to two identical masses Mo.
a) Set up and solve the equations for the two normal modes (the ones in the attached images) in which the masses oscillate along the line joining the centers...
Oh, you're saying to set k = -(mg)/h and lambda = -(mg)/u and plug that into the diffeq? I don't know why that never occurred to me, thanks a lot for the suggestion!
Hey guys I'm new to the forum and having a little trouble with this conceptual problem.
1. A block of mass m is connected to a spring, the other end of which is fixed. There is also a viscous damping mechanism. The following observations have been made of this system:
i) If the block is...