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Question 18 of 19 Sapling Learning Ma p. Three 93.2 gram masses are connected in

ID: 1780542 • Letter: Q

Question

Question 18 of 19 Sapling Learning Ma p. Three 93.2 gram 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. Find the x and y coordinates of the center of mass of the triangular object +y (14.2, 18.5) Number Number (18.3, 15.4) cm cm (0, 0) + x 5 (0, 28.8)2 Two more 93.2 gram masses are connected by a straight piece of wire and affixed to the original configuration as shown. Find the x and y coordinates of the new center of mass of the combined object Number Number cm cm 4 (0, -28.8) O Previous Check Answer 0 Next -I Exit Hint

Explanation / Answer

a) Xcm = ( 93.2 x 0 ) + (93.2 x14.2) +(93.2 x 18.3) / (279.6) =10.833

Ycm = ( 93.2 x 0 ) + ( 93. 2x 15.4 ) + ( 93.2 x 18.5) / (279.6) =11.3

b) X cm = 3 ( 93.2 x 0 ) + (93.2 x14.2) +(93.2 x 18.3) / (466) = 6.5

Ycm = ( 93.2 x 0 ) + ( 93. 2x 15.4 ) + ( 93.2 x 18.5) + ( 93.2 x -28.8) +( 93.2 x 28.8) / (466) = 6.78

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