1. A uniform disk with moment of inertia at the center of mass, I1, is rotating with an initial angular speed ω1 about a frictionless shaft through its center. Another disk of moment of inertia at the center of mass, I2, is dropped from rest on top of the first disk through the same shaft. Give the angular speed of the composite two-disk system assuming that the collision is perfectly inelastic. I1 = 3.996E-04 (disk 1) I2 = 1.064E-03 (disk 3)
1. A uniform disk with moment of inertia at the center of mass, I1, is rotating with an initial angular speed ω1 about a frictionless shaft through its center. Another disk of moment of inertia at the center of mass, I2, is dropped from rest on top of the first disk through the same shaft. Give the angular speed of the composite two-disk system assuming that the collision is perfectly inelastic.
I1 = 3.996E-04 (disk 1)
I2 = 1.064E-03 (disk 3)
2. In most cases, Disk 3 will not be concentric with the other disks after being dropped. Will the final speed of this configuration be greater than or less than the speed in theoretical scenario (all 3 are concentric)? Explain.
Hint: Parallel axis theorem is needed to solve the moment of inertia of Disk 3 about the axis of rotation.
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