Question

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 coo

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Answer #1

(a) X- coordinate of center of mass = (m1*x1 + m2*x2 + m3*x3) / (m1 + m2 + m3)

= (2.3*0 + 4.0*2.0 + 9.0*1.0) / (2.3+4.0+9.0)

= (0 + 8.0 + 9.0) / 15.3

= 1.11 m

Y- coordinate of center of mass = (m1*y1 + m2*y2 + m3*y3) / (m1 + m2 + m3)

= (2.3*0 + 4.0*1.0 + 9.0*2.0) / (2.3+4.0+9.0)

= (0 + 4.0 + 18.0) / 15.3

= 1.44 m (Answer)

(b) Third option, the center of mass shifts toward the topmost particle' is the correct answer.

Explanation -

when, m3 will be larger, coordinates of m3 will be considerable in respect to the coordinates of m1 and m2. Therefore, coordinate of center of mass will move towards m3.

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