Question 4:
(12) Consider the mechanical system shown below. Assume that u(t) is the force
applied to the cart and the input into the system. The displacement x(t) is measured
from the equilibrium position and is the output of the system. Obtain, algebraically,
the transfer function, x(s)/(U)(s), of the system using the given coordinate references.
Show all the steps in your derivation. Notate if you use Mathematica to simplify your
algebra from one step to the next.
All transfer functions are to be in standard form: (1) descending powers of s in the numerator and denominator, (2) grouping the coefficients in front of s terms, and (3) should contain no fractions.You must draw all relevant FBDs you use to derive EOMs
Question 4:
4. (12) Consider the mechanical system shown below. Assume that u(t) is the force applied to the cart and the input into the system.The displacement x(t) is measured from the equilibrium position and is the output of the system. Obtain, algebraically. the transfer function, X(s)/U(s), of the system using the given coordinate references.
x(Output)
k1 ww
k2
u(r) (Input force)
m
Show all the steps in your derivation. Notate if you use Mathematica to simplify your algebra from one step to the next