Consider the system shown in the figure below. x and y denote, respectively, the absolute displacements of the mass m and the end Q of the dashpot C. Q is subjected to the harmonic motion y(t) = Y cos(ωt). Derive the equation of motion of the mass m, clearly showing the steps in your solution.
C2
x(t)
y(t) = Y cos(ωt)
C1
m
00000
Q