Question

2. Determine ly and ky. Hint: Section 1 is the left triangle. Section 2 is the right rectangle. Section 3 is the semicircle and section 4 is the empty circle. (20 pts) 4 mm mm 4mm 8 mm -12mm 16 mm

Answer 1

8 mm 8mm 4mm amm CN OR D 4mm * IF wuls AL B C х 12mm 16mm ty and Ky of area Iy the are need to find the giren comporte Ky = 1 A-Hotel ara Comparte figure ABF about y-amis + Fec De about y amis + + I diminele Dose about yaseis – Icicle o about garis o Iy - 1

Cucular (ii) moment area about inertia of a and is antrial gruers by yl I 4 y TT g 4 y but (1) Moured operta about centro del amis g a semies olor area LS given by y g / Iy' = Tort 8

O HACE = $888 = 32 mm? OA 2. 12x8 96 mm V BCDE 2 2 A 871 mm "Semicile DGE Tx 4 ● A cicle 2 471 mm² - Tx at A - AABE + A B C DE + Asemíciele DCE - Aurcle o 32796 +81 – 4 128 + All 2 140.5664 mm 3 o Iyo I JABE = bb 36 b = 8 3 8x8 B 36 - 1024 9 4 = 113.7778 mm مه k =8Y TI 1990 0 I, h-12 YBCO E abb 12 3 12x 8 12 512 mm B b = 8 с
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