15. Three masses are placed in the vertices of a triangle with the following (x y)...
1. (25 pts.) Three particles are at the vertices of a rigid, massless equilateral triangle, whose sides are L = 4.0 m. Their masses are mi = 10 kg, m2 = 20 kg and m3 = 30 kg. a. Find the x and y coordinates of the center of mass of the system, with respect to the point P halfway along the base. b. Find the moment of inertia if the system is free to rotate around an axis down...
Suppose there were three masses at the corner of uniform equilateral triangle. The masses are m1 = 2.2 kg, m2 = 0.5 kg, and m3 = 4.1 kg. The triangle has an area of 270.63 cm2. Where is the center of mass of this 2D system?
N8. Three point masses are placed at the corners of a triangle as shown in the rigue randy coordinates (x) of the center of mass of the three-mass system using the origin sno 75 g 3 cm WY3.00 cm, 0.69 cm) B) (2.77 cm , 1.00 cm) C) (1.23 cm, 0.69 cm) D (2.77 cm, 0.69 cm) E) (0.69 cm , 2.31 cm) 100 g x 4 cm 150 g
In the figure, four point masses are placed as shown. The x and y coordinates of the center of mass are closest to Problem #16 3.0 m 2.0 m 4.0kg 2.0 3.0 m 8.0 kg 6,0 kg阜 3.0 2.0 m 2.0 kg 0 2.0 m 3.0 m A) (2.2 m, 2.6 m). B) (2.2 m, 2.7 m). C) (2.3 m, 2.6 m). D) (2.3 m, 2.7 m). E) (2.3 m, 2.8 m).
The figure below shows a three-particle system, with masses m1 = 2.3 kg, m2 = 4.0 kg, and m3 = 9.0 kg. N (a) What are the coordinates of the center of mass? m (x-coordinate) m (y-coordinate) (b) What happens to the center of mass as the mass of the topmost particle is gradually increased? The center of mass shifts toward the particle on the right. The center of mass shifts toward the particle on the left. The center of...
Three light rods of negligible mass are joined to form an equilateral triangle of length L = 1.90 m. Three masses m1 = 5.00 kg, m2 = 7.00 kg, and m3 = 9.00 kg are fixed to the vertices of this triangle as shown in the diagram below. Treat the masses as point particles.(a) What is the moment of inertia of the system about an axis lying in the plane of the triangle, passing through the midpoint of one side...
10. (This topic is not covered on exam 3) moments about the axes and the center of mass. Mass, kg Location, m. (S,1) (-3.2) (1-1) a. A system of point masses (kg, meters) is distributed in the xy-plane as follows. Find the (1,0) (4,-2) b. Find the centroid of the triangular region with vertices (0,0), (3,0), and (5,0). c. Find the center of mass of a thin homogeneous plate forming a sector of a circle of radius r and angle...
Three spherical masses are located in a plane at the positions shown below. (m) Y 1 2 3 4 5 -5 -4 -3 -2 -1 0 X (m) The masses are Q=0.700 kg, R=0.400 kg, and S=0.800 kg. Calculate the x and y coordinates of the Center-of-Mass of this three mass system. XCM = 1.736 cm YCM = 2105 cm Submit Answer Incorrect. Tries 1/20 Previous Tries e Post Discussion Send Feedback
Three particles of masses m1=1.2 kg, m2=2.5kg, and m3=3.4kg form an equilateral triangle of edge length a=140 cm. Where is the center of mass of this system?
Three uniform spheres are placed at the vertices of an equilateral triangle. The sphere at vertex A has a mass m. The mass of each sphere at vertices B and C are known to be the same mass M. Let R be the distance from the centre of the triangle to one of the three vertices. (a) A fourth sphere is placed at the centre of the equilateral triangle It is known that the net force on the fourth sphere...