Question

What is the centroid with respect to the x axis (mm)? What is the centroid with respect to the y axis (mm)? What are the inertia respect to the x-axis and y-axis? (mm^4)

90 mm 20 mm 120 mm 1 40 mm 20 mm 2 60 mm х

Answer 1

مه 90 mm 7 20 mm A = 90 X 120 0 3 - 10800 mm v 40 mm 20mm A = 1 X 90x60 to mm 2 2700 mar Az = TTX 40² X =2513.27 nmr ΣΑ 10800 + 2700 shaded 2513.27 10986.73 mm 2 Hz 1) 30 mm olm old CI &T mm od 3 D 90 - 4x40 3T) = 73.02 mm Y = tot 120 120 mm 2 > 60 20 mm 3 Yz 60+20+40 100mm 2

& Ainei ΣΑ = 60800 X45) + (700x30)-(2513.14972-02) 10986.73 from left lieb x = 34.904 mm Sai Yi Ý - SA 20800*120) + (2700X20) -(2513.29 X 100 10986.73 - 100 mm Centried x, = (34.904, 100 ) mm

ob inertia calculations Moment 2. Ix Ina + A V IX Bp3 Bh 3 + AGO + TAI 12 36 ort + Agh > IX laox 3 90X120 10800 C 100-120 2012 t 12 Cao x6o3 2700 (100-20 36 TX 104 + 2513,27 ( 100-lar 100)?? 4 17.28X106 + 17.82X100 2.01x106 6 33.09 x 10 mmt 여

- Iyy Туу + Ах 1) 57 похо + Iya 34. 904 -45 + 16800 12 S 90 ²x60 5 + 2-оо (24.904 — 30 36 1 х о * 2г 13.23 (3v - 40 y (39 - 449 – 334) t ق ly 8.34 x 10° +1. 28 x16 г. 66xto (І 4. 01 X 10 10 Үm , — Iy

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