At the time the clutch is engaged in Fig. 1, each shaft is rotating at the velocity shown....

At the time the clutch is engaged in Fig. 1, each shaft is rotating at the velocity shown. If Ω1 is greater than Ω2, the system on the right will be accelerated when the two shafts are clutched together. Upon engagement assume that the clutch slips, but applies a constant torque of T in. lb. Show that the time required for the two shafts to be rotating at the same velocity is given by (Ω1 − Ω2)I1I2/T(I1 + I2). Neglect any effects due to torsional vibration.

Figure 1