(A) The system consists of two blocks $A$ and $B$ connected by a spring. When the system is released,the only forces acting on the blocks are the inte

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The centre of mass of the system will remain stationary.

(A) The system consists of two blocks $A$ and $B$ connected by a spring. When the system is released,the only forces acting on the blocks are the internal spring forces.Since there is no external force acting on the system in the horizontal direction,the net external force on the system is zero $(F_{ext} = 0)$.According to the property of the centre of mass,if the net external force on a system is zero,the acceleration of the centre of mass is zero $(a_{cm} = 0)$.If the system was initially at rest,the velocity of the centre of mass remains zero,meaning the centre of mass remains stationary.

Class 11 Physics System of Particles and Rotational Motion Motion of Centre of Mass

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Two blocks $A$ and $B$ are joined together with a compressed spring. When the system is released,the two blocks move with unequal speeds in opposite directions as shown in the figure. Select the correct statement.

A
The centre of mass of the system will remain stationary.
B
Mass of block $A$ is equal to that of block $B$.
C
The centre of mass of the system will move towards the right.
D
It is an impossible physical situation.

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System of Particles and Rotational Motion

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Motion of Centre of Mass

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The figure shows a man of mass $m$ standing at the end $A$ of a trolley of mass $M$ placed at rest on a smooth horizontal surface. The man starts moving towards the end $B$ with a velocity $u_{rel}$ with respect to the trolley. The length of the trolley is $L$. When the man reaches the end $B$,the distance moved by the trolley with respect to ground is

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Two blocks $A$ and $B$ are joined together with a compressed spring. When the system is released,the two blocks move with unequal speeds in opposite directions as shown in the figure. Select the correct statement.

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$A$ body of mass $m_1 = 4 \text{ kg}$ moves at $5 \hat{i} \text{ m/s}$ and another body of mass $m_2 = 2 \text{ kg}$ moves at $10 \hat{i} \text{ m/s}$. The kinetic energy of the centre of mass is:

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