You are designing a clutch assembly which consists of two cylindrical plates, of mass MA = 6.0kg and Mb = 9.0 kg, with equal radii R =0.60m. They are initially separated (Fig 8-57). Plate MA is accelerated from rest to an angular velocity w1 = 7.2 rad/s in time Δt = 2.0s. Calculate.
(a) The angular momentum of MA, and.
(b) The torque required to have accelerated MA from rest to w1.
(c) Plate MB, initially at rest but free to rotate without friction, is allowed to fall vertically (or pushed by a spring), so it is in firm contact with plate MA (their contact surfaces are high-friction). Before contact, MA was rotating at constant w1. After contact, at what constant angular velocity w2 do the two plates rotate?

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