Cart y(t) 0(t) Tilting Beam Problem 9 (25 points): The rolling of a wheeled cart on a tilted beam is described by the 2nd Order differential equation; d²y dt² dy +0.04- = 0(t) dt In the time domain y(t) is the position of the cart and 0(t) is the tilt angle of the beam. Find the transfer function that relates the Laplace transform of the position, Y(s) = {y(t)), to the Laplace transform of the tilt angle, (s)[0(t)}. Express your result in the form: T(s) = Y(s) e(s) Note that your solution should contain only functions of the Laplace variable "s" and numerical constants on the right hand side of the equals sign. The right hand side of the equation should not contain functions of the tilt angle or the position (in either Laplace or time domain).