The masses m, are located at the points P,. Find the moments M and My and the center of mass of the system. = 5, m4 = 8; m, = 7, m, = 6, m3 P,(6, 4), P2(3, –1), P3(-2, 1), P4(-2, –5) Mx -13 M, = 34 (x, y) -1.3077, - 0.5
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- The masses m1 = 10, m2 = 14, m3 = 4, m4 = 10 are located at the points P1( 1,-2 ), P2 (3, 4 ), P3 (- 3,-7 ), P4 (6,- 1 ). Find the moments Mx, My, and the center of mass of the system ( x, y ).2. Masses m1 = 4, m2 = 1, and m3 = 5 are located at points P1(2, −3),P2(−3, 1), and P3(3, 5). Find the moments MX, MY , and the center of mass ofthe system.Four particles are located at points (1,1), (2,4), (3,1), (4,1). Find the moments Mx and My and the center of mass of the system, assuming that the particles have equal mass m. Mx= My= xcm= ycm= Find the center of mass of the system, assuming the particles have mass 3, 2, 5, and 7, respectively. xcm= ycm=
- The masses are located at the points . Find themoments Mx and My and the center of mass of the system. m1 = 4 m2 = 2 m3= 4P1(2, -3), P2(-3, 1), P3(3, 5)Solve and show the proper solution. The masses mi are located in xy plane at points Pi listed below, find the center of mass.Masses: m1 = 2, m2 = 8, m3 = 5, m4 = 22Location: P1(0,0), P2(0,4), P3(5,1), P4(-1,-1)The masses mi are located at the points Pi. Find the center of mass of the system.m1=1, m2=5, m3=9.P1=(4,−1), P2=(−9,4), P3=(3,5).
- Find the moments and center of mass of the system of objects thathave masses 3, 4, and 8 at the points ( -1, 1 ) , ( 2, - 1 ) , and ( 3, 2 )Four particles are located at points (1, 1), (1, 2), (4, 0), (3, 1). (a) Find the moments Mx and My and the center of mass of the system, assuming that the particles have equal mass m. (b) Find the center of mass of the system, assuming the particles have masses 3, 2, 5, and 7, respectively.A solid cube, 2 units on a side, is bounded by the planes x = +-1, z = +-1, y = 3, and y = 5. Find the center of mass and the moments of inertia about the coordinate axes.
- Find the moments Mx and My and the center of mass of the system.14 - Find the center of gravity M of the three dimensional homogeneous wire ABCD by using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 24 cm, b = 36 cm. The coordinates of the AB part of the homogeneous wire in the x, y and z axes are given in the following:A) (36; 24; 12)B) (18; 12; 0)C) (36; 24; 0)D) (36; 12; 24)E) (36; 12; 0)3. Find the coordinates of the centroid of the triangle enclosed by x = 1, y = 0,and y = 4x.