A motor is connected to a flywheel by a 5/8-in diameter steel shaft 36 in long. Using the methods of this chapter, it can be demonstrated that the torsional spring rate of the shaft is 4 700 in·lb/rad.

The mass moments of inertia of the motor and flywheel are 24.0 and 56.0 in ·lb ·s2, respectively.

The motor is turned on for 2 s, and during this period, it exerts a constant torque of 200 in · lb on the shaft.

(a) What speed in revolutions per minute does the shaft attain?

(b) What is the natural frequency of vibration of the system? (c)

Assuming no damping, what is the amplitude of the vibration of the system in degrees during the first era? During the second era?

Figure P13.11