In the figure, three point masses are placed as shown. A =1.50, and B = 0.91. The x and y coordinates of the center of mass are closest to? 2.0 kg A B r3D1.2 3.0 kg (1104) 35° 1.0 kg A) (0.61, 0.09) m B) O(0.24, 0.34) m C) O(1.24, 0.57) m D) O(0.34,0.24) m -)(1.30, 0.70) m
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- Show clearly all working with detailed explanationsThree point masses are placed at the corners of a triangle as shown in the figure below. 90 g 2 cm 3 cm 130 g 200 g Find the center of mass of the three-mass system (in cm). (Assume that the +x-axis is to the right and the +y-axis is up along the page. Take the origin to be at the position of the 200 g mass.) XCM = cm Усм cm4. Object A, whose center is at (2.0m, 2.0m) has a mass of 40 kg. Object B has its center at (10m, 4.0m) and has a mass of 30 kg. What is the x component of their center of mass in m? a) 2.9 6. b) 5.4 B c) 6.1 4. d) 6.3 A e) 6.7 2 8. 10 12 x (m) 6. 2) (w)m)
- Three point masses are placed at the corners of a triangle as shown in the figure below. 80 g 2 сm 4 cm 115 g 170 g Find the center of mass of the three-mass system (in cm). (Assume that the +x-axis is to the right and the +y-axis is up along the page. Take the origin to be at the position of the 170 g mass.) XCM = cm YCM = cmProblem Two. A rod of length L = 2.0 m is placed on the x-axis from x = 0 to x = L. The rod has a mass density given by 2 = 2] 1+- x- where 2, = 2.0k. L' Find the location of the center of mass of the rod in meters. 4.) (A) 1.5 (B) 1.3 (С) 1.1 (D) 1.7 (E) 0.45 Consider if the rod is subjected to an applied force given by F = Aî +Bx²j , where A=10 N and B = 25 N2 . If the end of the rod at x = 0 is attached to a hinge, find the angular acceleration of the rod in rad/s². m 5.) (A) 0.68 (B) 0.92 (C) 0.26 (D) 0.34 (E) 0.45 Find the direction of the net torque vector acting on the rod. 6.) (A) +z (В) —х (C) +x (D) –z (E) -уA thin rod of length L = 3.00 m with variable mass density (x) = 3.00x² kg/m lies on the x-axis with one end at the origin. Where on the X-axis is the center of mass of this rod? {note this is a variable mass density} O 2.50 m O 1.50 m O 2.25 m O 2.70 m O 1.88 m 279