each of the objects above is composed of identical thin sticks of uniformly dist

Question

each of the objects above is composed of identical thin sticks of uniformly distributed mass iscms/mod/ibis/view.php?id-2195445 . Far1 5 . APRE LEV Act vees and Due Dates HW Rotation D0/2015 1 1:55 PM2s/100 E Grade Pnnt akulator- Periodic Table tion 2 af 4 Map ling leareing Each of the objects above is composed of identical thin sticks of uniformly distributed mass 8.63 kg and length 0.365 m. What is the moment of inertia of each object about a rotation axis perpendicular to the screen and passing through the black dot? Number Number Number kg.mD g m g- m kg m O Previous O Check Answer 0 Next Exit us careepartnersprvagy pobcy ay policy terms

Explanation / Answer

MOMENT OF INERTIA OF ROD PASSING THROUGH CENTER AND PERPENDICULAR TO SCREEN IS = mr2 /12

ONE END OF THE ROD = MR2/3

GIVEN m =8.63 KG AND L=0.365 M

A) Total moment of inertia = I1+I2+I3 = 3 ML2/12     (R= length of rod L)

                                                      = 3 *8.63 * 0.635*0.635/12 = 0.869 kg m2

B) I = ML2/12 + ML2/3 = 0.863 * 0.635 * 0.635 * (1/12 +1/3) = 0.347 * = 0.144 kg m2

C) I =M(2L)2/3 = 4 * 0.347 /3 = 0.462 kg m2

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