Q9:- Three particles of masses mi 5 kg, m2 2 kg, and my-3 kg are located...
(29: 3.2)m, (-2.2)m, and (3,-2)m, respectively. Find the coordinate of the center of mass. -Three of masses m,-5 kg, m 2 kg, and m 3 kg are located in x) plane as particles (A) 2, 1.1)m (B)(2,0.8)m (C)(2, 1)m (D)(2.0.4)m (E(2, 0.6)a
5. Three particles of masses 1.3 kg, 2.5 kg and 3.7 kg are located at the points ( 3,4) m, ( 16,5)m, and (-1,2) m respectively. Calculate the rotational kinetic energy of this system of particles if they are revolving around the x-axis with an angular velocity of 3 rad/s. (1 point) A. 554.692 J B. 191.216 J C. 441.45 J D. 831.483 J E. 377.97 J 6. Three particles of masses 8.3 kg, 4.5 kg and 9.7 kg are...
Three point objects with masses mi = 2.8 kg, m2 = 1.1 kg, and m3 = 1.1 kg are arranged in the configuration shown in the figure. The distance to mass m, is d; = 23 cm and the distance to mass my is ds = 40 cm. The distances are measured from the axis O. What is the combined moment of inertia I for the three point objects about the axis O? IN d. d, I= kg.m
тс Three particles, each of mass m 2.5 kg, are located at the corners of a right triangle whose sides are 2 m & 1.5 m long, as shown. Find XcM and ycM of the center of mass 1.50 m CM CM mB Та 2.00 m (Hint: Choose the co-ordinate system with mA at the origin and mB on the x axis) What is the x coordinate, XCM, of the center of mass? x coordinate m тс Three particles, each...
The figure shows a three-particle system, with masses m1 = 1.1 kg, m2 = 4.1 kg, and m3 = 7.1 kg. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? y (in) 023 - x (m) (a) Number (b) Number Units Units
4. Consider two particles of masses my and m2 and positions rı and r2 respectively. Suppose m2 exerts a force F on mı. Suppose further that the two particles are in a uniform gravitational field g. (a) Write down the equations of motion for the two particles. (b) Show that the equations of motion can be written as MR = Mg ur = F where M is the total mass, R is the centre of mass, he is the reduced...
5. Three particles each of mass 2kg, originally at rest, are located at the positions shown. a) Locate the center of mass of the three-particle system. If forces F -(2i-j)N, F -(+5j)N and F3-(-i-2j)N acts on mi, m2 and m, respectively. Find the acceleration (magnitude and direction) of the center of mass. (2pts.) b) cろ C1,2) 5. Three particles each of mass 2kg, originally at rest, are located at the positions shown. a) Locate the center of mass of the...
4. (a) Three point masses are attached to a massless rigid rod. Mass m,-1.0 kg is located at x = 1.0 cm, mass m2-2.0 kg at x = 2.0 cm and mass m,-3.0 kg at x-3.0 m. Find the center of mass of the system. (b) Find the center of mass of the four masses as below. mi 2.0 kg at point (1,2) cm; m 3.0 kg at point (2,-3) cm; m -4.0 kg at point (3,-4) cm and m...
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 particles are located in a coordinate system as shown in the figure below. The acceleration of gravity is 9.8 m/s 2 . The mass 8 kg is located at the origin, the mass 8 kg is located on the x coordinate, and the mass 7 kg is located on the y coordinate.Find the distance of the center of gravity from the origin. Answer in units of m. 7 kg 8 kg 8 k g 12 m