1. Write the differential equation(s) for the mechanical system shown in Fig. 2.1.(a)-(c) State whether you think the system will eventually decay so that it has no motion at all, given that there are nonzero initial conditions for both masses, and give a reason for your answer

Adouble-strand no. 60 roller chain is used to transmit power between a 13-tooth driving sprocket rotating at 300 rev/min and a 52-tooth driven sprocket. a) what is the allowable horsepower of this drive? b) estimate the center-to-center distance if the chain length is 82 pitches. c) estimate the torque and bending force on the driving shaft by the chain if the actual horsepower transmitted is 30 percent less than the corrected (allowable) power.