 #1
so_gr_lo
 67
 10
 Homework Statement:

Two masses m1 and m2 on the x axis are connected by a spring. The spring has stiffness s, length l and extension x. m2 is at position x2 and m1 at position x1. The equations of the motion are
m1d^2x1/dt^2 = sx and m2d^2x2/dt^2 = sx
Combine these to show that the angular frequency is w = sqrt(s/M)
Where M = m1m2/ m1 + m2 (the reduced mass)
 Relevant Equations:

m1d^2x1/dt^2 = sx and m2d^2x2/dt^2 = sx
w = sqrt(s/M)
M = m1m2/ m1 + m2
tried writing the x position as
x = Acos(wt) (ignoring the phase)
so that d^{2}x / dt^{2} = w^{2}x
Substituting that into the individual motion equations would get the required result for the individual masses, but I am not sure how to combine the equations to get the reduced mass
x = Acos(wt) (ignoring the phase)
so that d^{2}x / dt^{2} = w^{2}x
Substituting that into the individual motion equations would get the required result for the individual masses, but I am not sure how to combine the equations to get the reduced mass