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m 4 =m 1 +m 2 +m 3 =( S W + 2 R A ) ×S L ×t×l ¿ 0.01703 kg I m 4 = 1 12 m 4 ( S L 2 + ( 2 R A +S W ) 2 ) ¿ 2.3489 × 10 6 kg m 2 I of m 1 and m 3 about their centres is found m 1 =m 3 = 1 2 πr 2 ρt= 1 2 π×R A 2 ×ρ×t ¿ 2.2144 × 10 3 kg I m 1 g 1 +I m 3 g 3 ( abouttheirc.o.g.) = 1 2 mR A 2 4.5351 × 10 8 kgm 2 I m 1 o =I m 3 o =I m 1 g 1 + m 1 ( R A + S W 2 ) 2 ¿ 8.7233 × 10 7 kgm 2 I m 2 =I m 4 I m 1 o I m 3 o ¿ 604.24 × 10 9 kgm 2 page 5

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m4=m1+m2+m3=(SW+2 RA)×S L×t×l

¿0.01703 kg

Im4= 1

12m4 (SL2+( 2RA+SW )2 )

¿2.3489×10−6kg m2

I of m1 and m3 about their centres is found

m1=m3=12π r2ρt=1

2π× RA

2×ρ×t

¿2.2144×10−3 kg

Im1g1+ Im3g3

(about their c . o . g . )=12mR A

2

4.5351×10−8 kgm2

Im1o=Im3o=Im1g1+m1(RA+ SW2 )

2

¿8.7233×10−7kgm2

Im2=Im4

−Im1o−Im3o

¿604.24×10−9 kgm2

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