Consider the system shown in Figure P2.1 a where (a=25 mathrm{~cm}), (ell_{1}=50 mathrm{~cm}), and (ell_{2}=30 mathrm{~cm}). When

Question:

Consider the system shown in Figure P2.1 a where $a=25 \mathrm{~cm}$, $\ell_{1}=50 \mathrm{~cm}$, and $\ell_{2}=30 \mathrm{~cm}$. When the force $f(t)$ is a step function of magnitude $1 \mathrm{~N}$, the response is as shown in Figure P2.1b. Determine the mass $m$, the stiffness $k$, and the damping constant $c$.

Figure P2.1(a, b)