This is how the problem reads: Two disks are rotating about the same axis. Disk

Question

This is how the problem reads: Two disks are rotating about the same axis. Disk A has amoment of inertia of 3.8 kg ·m2 and an angular velocity of +7.3 rad/s. Disk B is rotating with an angularvelocity of -9.4 rad/s. The two disksare then linked together without the aid of any external torques,so that they rotate as a single unit with an angular velocity of-2.7 rad/s. The axis of rotation forthis unit is the same as that for the separate disks. What is themoment of inertia of disk B?
This is how the problem reads: Two disks are rotating about the same axis. Disk A has amoment of inertia of 3.8 kg ·m2 and an angular velocity of +7.3 rad/s. Disk B is rotating with an angularvelocity of -9.4 rad/s. The two disksare then linked together without the aid of any external torques,so that they rotate as a single unit with an angular velocity of-2.7 rad/s. The axis of rotation forthis unit is the same as that for the separate disks. What is themoment of inertia of disk B?

Explanation / Answer

IA = 3.8 kg ·m2, A = +7.3 rad/s. B = -9.4 rad/s. = -2.7 rad/s. Find the moment of inertia IB of disk B. angular momentum of the system conservation: IAA + IBB =(IA + IB) IB = IA(A -)/( - B) = 5.67 kg ·m2

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