A clutch assembly consists of two cylindrical plates, M A = 6.2 kg and M B with

Question

A clutch assembly consists of two cylindrical plates, MA = 6.2 kg and MB with an unknown mass. Both plates have the same radii R =0.55m. They are initially separated. Plate MA is accelerated from rest to an angular velocity ω1 = 7.8 rad/s

in time δt by a torque of 9 N ·m.

(a) Calculate the moment of the inertia of MA

(b) Calculate the acceleration time δt

(c) Plate MB, initially at rest and free to rotate without friction, is allowed to fall vertically so it is in firm contact with plate MA. Before contact, MA was rotating at constant ω1. After contact, the two plates rotate at a constant angular velocity ω2 = 3.6 rad/s. What is the mass of MB?

Explanation / Answer

2. I=m*r^2/2

Στ=I*α

the friction is
1600=αr*57
αr=1600/57

α2=1600/7
applied T=I*1600*(1/7+1/57)

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