Two disks are rotating about the same axis. Disk A has a momentof inertia of 8.6

Question

Two disks are rotating about the same axis. Disk A has a momentof inertia of 8.68 kg·m2 and an angular velocityof +7.99 rad/s. Disk B is rotating with an angular velocity of-8.47 rad/s. The two disks are then linked together without the aidof any external torques, so that they rotate as a single unit withan angular velocity of -4.16 rad/s. The axis of rotation for thisunit is the same as that for the separate disks. What is the momentof inertia of disk B?

Number

Units

The number of significant digits is set to 3; the toleranceis +/-2%

Chapter 9, Problem 53

Explanation / Answer

Given : Momenta of inertia ( Ia ) = 8.68kg.m2     Angular velocity ( a ) =+7.99 rad/s                             ( b ) = -8.47 rad/s                                   2 = -4.16 rad/s    Momenta of Inretia of a disk B is ( Ib) = ? Iaa+Ibb= ( Ia+Ib )2,
( 8.68 kgm2) (7.99rad/s) + Ib(-8.47rad/s) = [(8.68kgm2)+Ib ] (-4.16rad/s)
( 8.68 kgm2) (7.99rad/s) +Ib(-8.47rad/s) = (8.68kgm2)(-4.16rad/s) + Ib (-4.16rad/s)
     Ib = ------- kg.m2 Solve it I hope it helps you
Solve it I hope it helps you

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