The figure shows a system of masses. The mass of 2m is connected to an immobile wall
Question:
The figure shows a system of masses. The mass of 2m is connected to an immobile wall with a spring of constant 2k, while the mass of m is connected to an immobile wall with a spring of constant k. The masses are then coupled to each other with an elastic band of length L, under tension T =2kL. The masses are constrained to move in the x direction only. At equilibrium. the masses have the same x position and the springs are uncompressed. There is no friction or gravity. The displacements from equilibrium are small enough (x1, x2 << L), so that the tension in the band stays constant.
On the two figures included on the next page sketch the normal modes of the system, be sure to clearly indicate both the magnitude and direction of the motion of the masses.
Fundamentals of Electric Circuits
ISBN: 9780073301150
3rd edition
Authors: Matthew Sadiku, Charles Alexander