..ooo cricket 10:18 PM 9 edugen.wileyplus.com Chapter 09, Problem 59 Two disks a

Question

..ooo cricket 10:18 PM 9 edugen.wileyplus.com Chapter 09, Problem 59 Two disks are rotating about the same axis. Disk A has a moment of inertia of 5.78 kg.m2 and an angular velocity of +1.67 rad/s. Disk B is rotating with an angular velocity of -6.40 rad/s. The two disks are then inked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -3.50 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? the tolerance is +/-396 Click if you would like to Show Work for this question: n Sh lr By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Question Attempts: 0 of 4 used SAVE FOR LA SUBHET ANSWER

Explanation / Answer

Solution-  Initially we have
Angular momentum of disk A is L1=j1*w1,where j1=5.78, w1=1.67;
Angular momentum of disk B is L2=j2*w2,where j2 is moment of inertia in question, w2=-6.40;
Now finally
Angular momentum of linked disks is L3=(j1+j2)*w3, where w3=-3.50;
Total momentum conserves

So,

L3=L1+L2; or;
(j1+j2)*w3 = j1*w1 + j2*w2, hence
j2=j1*(w3 –w1) /(w2 –w3) =5.78*(-3.50 -1.67) /(-6.40 +3.50)=
=10.30 kg·m^2

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