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Physics: Moment of Inertia of disk B

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Two disks are rotating about the same axis. Disk A has a moment of inertia of 8.86 kg·m2 and an angular velocity of +8.31 rad/s. Disk B is rotating with an angular velocity of -9.45 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.95 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B?

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Solution Preview

As the linking of the two discs takes place without application of any external torque (i.e. the system is isolated), law of conservation of angular momentum applies.

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Solution Summary

The moment of inertia of disk B is determined. The axis of rotation for the unit is given.

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