Two shafts carry discs of moments of inertia I 1 and I 2 about their common axis and can be coupled by a clutch at A (Fig XXXXXXXXXXIf initially I 1 is rotating with an angular velocity ω while I 2 is...

Two shafts carry discs of moments of inertia I₁
and I₂
about their common axis and can be coupled by a clutch at A (Fig. 6.55). If initially I₁
is rotating with an angular velocity ω while I₂
is at rest, and then the clutch is engaged, find the common angular velocity of the shafts after slipping has ceased. Find also the loss of energy.