There are some passengers inside $a$ stationary railway compartment. The track is frictionless. The centre of mass of the compartment itself (without the passengers) is $C_1$, while the centre of mass of the 'compartment plus passengers' system is $C_2$. If the passengers move about inside the compartment along the track.
There are some passengers inside $a$ stationary railway compartment. The track is frictionless. The centre of mass of the compartment itself (without the passengers) is $C_1$, while the centre of mass of the 'compartment plus passengers' system is $C_2$. If the passengers move about inside the compartment along the track.
- A
both $C_1$ and $C_2$ will move with respect to the ground
- B
neither $C_1$ nor $C_2$ will move with respect to the ground
- C
$C_1$ will move but $C_2$ will be stationary with respect to the ground
- D
$C_2$ will move but $C_1$ will be stationary with respect to the ground
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Figure shows two cylindrical rods whose center of mass is marked as $A$ and $B$ . Line $AB$ divides the region in two parts one containing point $O$ (region $1$ ) and other containing point $O'$ (region $2$ ). Choose the correct option regarding the center of mass of the combined system.
Figure shows two cylindrical rods whose center of mass is marked as $A$ and $B$ . Line $AB$ divides the region in two parts one containing point $O$ (region $1$ ) and other containing point $O'$ (region $2$ ). Choose the correct option regarding the center of mass of the combined system.
Distance of the centre of mass of a solid uniform cone from its vertex is $z_0$ . If the radius of its base is $R$ and its height is $h$ then $z_0$ is equal to
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- [JEE MAIN 2015]
Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is $m$. The mass of the ink used to draw the outer circle is $6 \mathrm{~m}$. The coordinates of the centres of the different parts are: outer circle $(0,0)$, left inner circle $(-a, a)$, right inner circle $(a, a)$, vertical line $(0,0)$ and horizontal line $(0,-a)$. The $y$-coordinate of the centre of mass of the ink in this drawing is
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- [IIT 2009]
Find the centre of mass of a triangular lamina.
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