Rotational Motion Question 175

Question: With 0 as the origin of the coordinate axis, the X and Y-coordinates of the centre of mass of the system of particles may be given as. Here m and 2m represent the masses of the particles.

Options:

A) $\left( -\frac{b}{2},0 \right)$

B) $\left( -\frac{b}{2},b \right)$

C) $\left( -\frac{b}{3},b \right)$

D) $\left( -\frac{b}{2}b,b \right)$

Show Answer

Answer:

Correct Answer: C

Solution:

[c]

$\overset{-}{\mathop{x}}=\frac{m(-2b)+2m(-b)+m\times 0+2m(b)}{m+2m+m+2m}=\frac{-b}{3}$

and

$\overline{y}=+b$



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