Question

2. Tetermine the moment of inertia of the distribution about the axis through O having the direction cosines [A, u, in the terms of these direction cosines and A, B,.., Fis given by md I = ml(vy-Hz)(Az-va) +(ur- A) AX2 +Bu+C-2vD-2uAE-2A/F

Answer 1

2. et a system of recngulan canfesian axes. Ox oY, oz he xed nelaive to the budy and og be any aris though the otigin Paniy chcehon O and cosines a,u,NeN Myz) on the body wherd particle ob mass mi located The moment ob inertia of m' ahout og is gven be y pot Whene and Op sguare do the prorechion ds OM on Og hdo7Wopone Dm = IP V mi Zkano-hairta t-+hr)t =m knoun relahion '4 u4 :. The momen ož inentia of ithe enfrne bady about og is the Lgee chana-haner 270Mnry-u ez - 2AZ mae Aa't BucdauF-uD-E AAM+ Bu C2uD-E-UF

whene A-Emy 4z=m/distance ob m'nom Kaxis = the mament of inenha o the body about x-aris. B=m'z4z =moment ob inerhia ob the dy abaut y-arit C= Em'(y=monent of inentia o the DEmyz E-m'z, F-mry abokt z-ais Again chle product inenhia aith rpecf to yandz), (z md ) dno fx ane and Hhey are reapecdhity axeg