(B) Let the position of point $P$ be at the origin $(0, 0)$.Since the spheres are identical and arranged along the $X$-axis,the positions of the cente

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(B) Let the position of point $P$ be at the origin $(0, 0)$.Since the spheres are identical and arranged along the $X$-axis,the positions of the centers of mass are $P = 0$,$Q = PQ$,and $R = PR$.The mass of each sphere is $m = 1 \ kg$.The center of mass $x_{cm}$ of the system is given by:$x_{cm} = \frac{m_1x_1 + m_2x_2 + m_3x_3}{m_1 + m_2 + m_3}$$x_{cm} = \frac{(1 \times 0) + (1 \times PQ) + (1 \times PR)}{1 + 1 + 1}$$x_{cm} = \frac{PQ + PR}{3}$

Class 11 Physics System of Particles and Rotational Motion Centre of mass (Point Mass)

Medium

Three identical spheres,each of mass $1 \ kg$,are arranged as shown in the figure. If their centers of mass are at $P$,$Q$,and $R$ respectively,what is the distance of the center of mass of this system from point $P$?

A
$\frac{PQ + PR + QR}{3}$
B
$\frac{PQ + PR}{3}$
C
$\frac{PQ + QR}{3}$
D
$\frac{PR + QR}{3}$

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System of Particles and Rotational Motion

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Centre of mass (Point Mass)

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Three identical spheres,each of mass $1 \ kg$,are arranged as shown in the figure. If their centers of mass are at $P$,$Q$,and $R$ respectively,what is the distance of the center of mass of this system from point $P$?

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The position of the center of mass of three masses $2 \text{ kg}$,$3 \text{ kg}$,and $15 \text{ kg}$ placed with respect to the midpoint $(p)$ of the base,as shown in the figure,is . . . . . . .

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