Hi, I'm currently studying Mechanical Eng & have a class next semester 'Eng Analysis', which involves a large section on vibration. I've been trying to work my way through S.S.Rao, Mech Vibrations, 2nd edition. There's one specific problem; Project 5.51/Chapter 5/page 292. The problem concerns; two step cone pulleys connected by a belt. All relevent variables are given i.e. input/output shaft rpm, driven puley rpms, distance between centres,polar moments of inertia etc. I understand that this is a 2 Degrees of Freedom problem, & I should draw a free body diagram ( 2 pulleys connected by 2 springs). It's theinitial 'Equations of Motion' that I can't derive, & without these I can't really start the problem. I've attached a screen shot containing a clear example of the problem. Any help thats offered would be greatfully received.