Question

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Three 87.6 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters, Mass A is located at (0,0), mass B is at (14.2 20.5), and mass is at (16.3, 15.4). Find the x- and y-coordinates of the center of mass of the triangular object. С cm om cm Two more 87.6 g masses are connected by a straight piece of wire and affixed to the original configuration as shown. The coordinates of mass Dare (0, -33.4) and the coordinates of mass E are (0,33,4). Find the x- and y-coordinates of the new center of mass of the combined object

Answer 1

в (ч.1, 2, s) m3 (143, 15.4) 'We (о,о) та given by x coordinate of center of х: м, к, +т, X, + т 3 m, tmz+m3 In this са м, - т, Еш м: 87.63 2.: o cm , Х. : 19-2 см, 163 см - 1 3 x, Ex2 + x2 hence х: ой m ( x, + х , 4 ), 2 Зm 19. 2 + 16.3 3 ko heg trol

y coordinate of center of mass is given by miy, + m₂ Y₂ t mays I am cm TitY2 + Y₃ Similarly mis ma M3 fo yit Y₂+ Y3 3 20.5 +15-4 you 3 E 11.97cm yoni when we attach of mass New Center two these new masses Xem = xi +262 +13 + xy + xs $ 0 +0+0+ 14.2 +46.3 5 Xus 6.1 cm

y, tY2+Ya+Yu+Y Yum 5 0+0+15.4 + 20.5 + 33.4 - 33.4 Yem - 5 Ym = 7.18 cm
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