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- 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.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 ).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=
- Find the center of mass for the following masses along the x-axis (distances are in cm): 42gat (−2.4, 0), 5g at (−1.3, 0), 24g at (1.8, 0), and 3g at (3.8, 0)A triangle-shaped sheet has a surface mass density of 1.5 grams per square centimeter. Suppose that the corners of the sheet are located at the points P(2,1,2), Q(1,1, -3) and R(2,3,1) and that all the Coordinates are in centimeters. What is the mass of the sheet?A metal sphere weighing 24 kg is melted down and recast into a solid cone of base radius 8.0 cm. If the density of the metal is 8000 kg/m3 determine (a) the diameter of the metal sphere and (b) the perpendicular height of the cone, assuming that 15% of the metal is lost in the process. (Ans. a. 17.9 cm b. 38.0 cm)
- the moon is approximately spherical in shape. The moon's approximate mass and radius are 7.3477 * 10^22 kilograms and 1,737.4 kilometers, respectively. Which of the following is closest to the Moon's approximate average density in grams per cubic meter? A) 1.77 * 10^6 B) 3.34 * 10^6 C) 5.23 * 10^6 D) 6.97 * 10^6Find the mass of the sphere x2 + y2 + z2 = a2 where the density at any point is two times the distance from the point to the origin. a = 4. Answer is shown in 2nd picture but how do I get there?activity 2: the store packages 10 of the gum balls into a box. if the density of the gum ball is 1.508 g/cm3, what is the total mass of the gum balls in the box?
- Find the mass of a wire segment if the density of the density of the wire is delta(x,y) = (x^2) + (y^2), and the endpoints of the line segment are (0,0) and (3,4)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.Find the center of mass of the point masses lying on the x-axis. m1=6, m2=2, m3=6 x1=−6, x2=0, x3=4 x¯=