ME 357\ HW #2\ 3. (10) Find, algebraically, the transfer function

x_(o)(s)/(x_(i))(s)

of the mechanical system shown below using the given coordinate references. The displacements

x_(0),x_(i),y

, are measured from their respective equilibrium positions. Note that the input is a displacement, not a force. You should not draw an FBD for nodes/masses with known. prescribed displacements.\ Show all the steps in your derivation. Notate if you use Mathematica to simplify your algebra from one step to the next.

3. (10) Find, algebraically, the transfer function X0(s)/Xi(s) of the mechanical system shown below using the given coordinate references. The displacements x0,xi,y, are measured from their respective equilibrium positions. Note that the input is a displacement, not a force. You should not draw an FBD for nodes/masses with known. prescribed displacements. Show all the steps in your derivation. Notate if you use Mathematica to simplify your algebra from one step to the next