Rotational Motion Question 153

Question: A system consists of three particles, each of mass m and located at (l, 1), (2, 2) and (3, 3). The co- ordinates of the centre of mass are

Options:

A) (1, 1)

B) (2, 2)

C) (3, 3)

D) (6, 6)

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Answer:

Correct Answer: B

Solution:

[b] The coordinates of C.M of three particle are

x=m1x1+m2x2+m3x3m1+m2+m3 and

y=m1y1+m2y2+m3y3m1+m2+m3

here

m1=m2=m3=m

so

x=(x1+x2+x3)mm+m+m=2

y=(y1+y2+y3)m+m+m=2

So coordinates of C.M.of three particle are (2,2)



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