Question

THS print-out should have 27 questions. Multiple-choice questions may continue on the next column or page - find all choices before ansy nts Olo -10 L -10-8 -6 -4 -2 0 2 4 6 8 10 Calculate the e-coordinate of the center of mass Xem of the metal plate. a) w abeled T sla AI The the dled T2 fins of N 003 10.0 points A uniform flat plate of metal with a circular hole is situated in the reference frame shown in the figure below. Find gravity Answe

Answer 1

Solution is attached in the image posted below.

Hope it helps.

While finding centre of gravity of only plate i took a vertices on the left bottom and add length/2 for x Axis to x ordinate of the

Vertices and add height/2 on the y ordinate of that vertices.

Addition or substraction will depend on the vertices you choose for calculating centre.

fnd Coordinate ob vextices ot First Recrangle: ES-616 A CR-6) S6) calculating Length & oiah Ob NOn f Lat plate S,6) 6 C-s,-6 AB (2-K) Cy2-y) (-S--5) C6--6) 12 uni Hence A 12uni Niath pAD A C-S,-6) D- CR,-6) AS(-6-6) AD: 12 unid Cenue o PLat e Cti,y) Calcwiating ith Respec +0 AD とに -S AD -SH12 = 2 y -64 AB 6412- 2

Lience Cenue ob Plate mlu L1,0 HOring Cculau paut is CIeau thai Centue ob Cucie Coinciae oith Centue ob plate Hence Cenue Ob Cucie 1,0 NoN Diamete oh Cucie C313) E3TT) C 6 3T) C,-3) Distance beteen o DIQMete= extremi ties corainaie Hence Dia 3-3 uni Nid point Ob hoe Atructue Non Ob fiat pla1e & Ciucle by A2 Let piate be A Centue ob Abe (iy) Circie be (te,y2) Centue ob aravity c whole fi94 (x,y Plate be

AiF ABXCD 12X12 Iu umi4 A2= Io2: 20.23 uni ロx 62 AS auea Ob Ciuculau paut is mot theie hence it Nill be Aubstracteo A212 AXI X= 1 lX Y 2= 1 A1 A2 luuxI- 2々2 Iu4-2023 1 4120 A2 Ai-A2 luuxo-20 2x6 t44-20.2 oiagram Hence Cenue ob hole is (Xy) ie C0).