Question:\ Two

m=3.0kg

masses are free to move along the

x

-axis without friction. The masses are each connected to a fixed point (one to the left, one to the right) by a spring of spring constant

k_(1)=50(N)/(m)

and are connected to each other by a second spring of spring constant

k_(2)=100(N)/(m)

.\ In your solution, call the equilibrium position of the first mass

x_(1)

and the second mass

x_(2)

and choose your coordinates to that they are both 0 at the equilibrium positions.\ What are the natural frequencies of oscillation for this system?

Question: Two m=3.0kg masses are free to move along the x-axis without friction. The masses are each connected to a fixed point (one to the left, one to the right) by a spring of spring constant k1=50mN and are connected to each other by a second spring of spring constant k2=100mN. In your solution, call the equilibrium position of the first mass x1 and the second mass x2 and choose your coordinates to that they are both 0 at the equilibrium positions. What are the natural frequencies of oscillation for this system