Four particles are in a 2-D plane with masses, x- and y- positions, and x- and y

Question

Four particles are in a 2-D plane with masses, x- and y- positions, and x- and y- velocities as given in the table below: (listed in Particle #, mass, y-position) 1: [7.8 kg, -4.6 m]; 2: [8.1 kg, 3.6 m]; 3: [8.4 kg,-5.7 m]; 4: [8.7 kg, 2.4 m] My questions: 2) What is the y position of the center of mass? 5) When a fifth mass is placed at the center of mass, what happens to the vertical (y) location of the center of mass? a. It moves up. b. It moves down. c. It does not move. d. It can not be determined unless you know the mass.

Explanation / Answer

a) centre of mass= (-7.8*4.6 +8.1*3.6-8.4*5.7+8.7*2.4)/(7.8+8.1+8.4+8.7) = -1.02 2) since the mass is placed at the centre of mass, it does not cause any deviation so c. It does not move.

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