Question

5. Disk A, of radius R1=10.0 cm and mass m1=5 kg is rotating about its axis at a rate of 42.0 rpm. It is brought in contact with another disk, B, of radius R2=15.0 cm and mass m2=6 kg at rest. Quickly, both disks start to rotate together at the same rate. Both disks rotate on their shafts on low friction bearings.

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a) What is the energy of the first disk before contact?

b) What is the angular momentum of the first disk before contact?

c) Does this contact conserve energy? (Namely, is the energy of the system before and after the contact the same?). Why?

d) Does this contact conserve angular momentum? Why?

e) Calculate the angular velocity of the system after contact is fully established.

f) What is the energy of the system now?

g) Is there any energy wasted? If so what percentage? Where did this energy go?

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