Question

6 Seved Determine the moment of inertia and the radius of gyration of the shaded area with respect to the yaxis. Consider L-9 in 3 in. 3 in. The moment of inertia is [ in.4 The radus of gyration is□□in

Answer 1

in - jo- fotot r oisin K 3 in PARTI 0.25 in -;) fiesints lisint 10 osin kls in

Al" 3x0.5 : 15 in al : IYI TY tad? t Ad 2 x hyb²t And ? 12 X0.5x3+ 1.5 X 1.25 a 3.468 in 4 PART2 toistina

A22 8x0.5: aina inestia passing through centroid Jy2s tarnyba 1/2 x 8y os3 · 0.0833 in 4 PARTIT PART3 : Dos 1115 #12570.257 tsin lisin A3= 3x0.5 o s 2 IBB: aut ad ?

Туз: x 4-5х3+ | S7]. 25 : 3. 4, 6e in+4 Total Area (Ala Alf A24 A3 . •5+ 4+15 , по- Total inesta about & axis Ту: 191 + +ya f Ty3 » 3-4 68 + 0 - 0 933t g 468 Jy : . от 43 ihЧ гу, п, оз іn" 4 ку 2 : (n-aj73 Ry: 1,0013 in