(C) Let the carbon atom be at the origin $(0, 0)$ and the oxygen atom be placed at $(1.1, 0)$ on the $x$-axis.Given: $m_1 = 12 \ a.m.u.$ (carbon),$m_2

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$0.63 \ \mathring{A}$ from the carbon atom

(C) Let the carbon atom be at the origin $(0, 0)$ and the oxygen atom be placed at $(1.1, 0)$ on the $x$-axis.Given: $m_1 = 12 \ a.m.u.$ (carbon),$m_2 = 16 \ a.m.u.$ (oxygen).Position vectors are $\vec{r}_1 = 0\hat{i}$ and $\vec{r}_2 = 1.1\hat{i}$.The center of mass $R_{cm}$ is given by:$R_{cm} = \frac{m_1 r_1 + m_2 r_2}{m_1 + m_2}$$R_{cm} = \frac{12(0) + 16(1.1)}{12 + 16}$$R_{cm} = \frac{17.6}{28} \ \mathring{A}$$R_{cm} \approx 0.63 \ \mathring{A}$ from the carbon atom.

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

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The distance between the carbon atom and the oxygen atom in a carbon monoxide molecule is $1.1 \ \mathring{A}$. Given,mass of carbon atom is $12 \ a.m.u.$ and mass of oxygen atom is $16 \ a.m.u.$,calculate the position of the center of mass of the carbon monoxide molecule.

A
$6.3 \ \mathring{A}$ from the carbon atom
B
$1 \ \mathring{A}$ from the oxygen atom
C
$0.63 \ \mathring{A}$ from the carbon atom
D
$0.12 \ \mathring{A}$ from the oxygen atom

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Centre of mass (Point Mass)

Two particles of mass $5\, kg$ and $10\, kg$ respectively are attached to the two ends of a rigid rod of length $1\, m$ with negligible mass. The centre of mass of the system from the $5\, kg$ particle is nearly at a distance of $..........\, cm$.

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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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Mention the position of the centre of mass of a ring,a disc,and spheres.

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For a body,the center of volume is defined as $\frac{\int \vec{r} \, dV}{\int dV}$ over the complete body,where $dV$ is a small volume element of the body and $\vec{r}$ is the position vector of that small volume from the origin. Which of the following statements is correct?

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$A$ large number of particles are placed around the origin, each at a distance $R$ from the origin. The distance of the center of mass of the system from the origin is

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The distance between the carbon atom and the oxygen atom in a carbon monoxide molecule is $1.1 \ \mathring{A}$. Given,mass of carbon atom is $12 \ a.m.u.$ and mass of oxygen atom is $16 \ a.m.u.$,calculate the position of the center of mass of the carbon monoxide molecule.

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Two particles of mass $5\, kg$ and $10\, kg$ respectively are attached to the two ends of a rigid rod of length $1\, m$ with negligible mass. The centre of mass of the system from the $5\, kg$ particle is nearly at a distance of $..........\, cm$.

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 $P$?

Mention the position of the centre of mass of a ring,a disc,and spheres.

For a body,the center of volume is defined as $\frac{\int \vec{r} \, dV}{\int dV}$ over the complete body,where $dV$ is a small volume element of the body and $\vec{r}$ is the position vector of that small volume from the origin. Which of the following statements is correct?

$A$ large number of particles are placed around the origin, each at a distance $R$ from the origin. The distance of the center of mass of the system from the origin is

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