George W. Woodruff School of Mechanical Engineering Georgia Institute of Technology

ME3017 HW SET #2 Due 6/3/2015 ________________________________________________________________________ 1) Derive the differential equation of motion of the system in Fig. P4.22 of the text

relating the output to input . Find the natural frequency of the system. 2) Derive a differential equation model for the mechanical system below relating the

mass displacement x measured from the equilibrium position to the input displacement u of the cam follower.

3) Text Problem 4.53. 4) Text Problem 4.82. 5) Derive a single differential equation for the rack and pinion system of Figure P4.65

relating the mass displacement x to the input torque T assuming a rigid shaft. 6) Find the transfer function Y(s)/X(s) for the system shown in Fig. P4.61. 7) Find the transfer function X1(s)/F(s) of the system in problem 4 (Figure P4.82).