(C) The Assertion $(A)$ is false. The absence of external torque about the centre of mass implies that the angular momentum of the body remains consta

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If Assertion is true but Reason is false.

(C) The Assertion $(A)$ is false. The absence of external torque about the centre of mass implies that the angular momentum of the body remains constant,not the velocity of the centre of mass. The velocity of the centre of mass remains constant only if the net external force acting on the body is zero.The Reason $(R)$ is true. According to the law of conservation of linear momentum,the linear momentum of an isolated system (where the net external force is zero) remains constant.Since the Assertion is false and the Reason is true,the correct option is $(C)$.

Class 11 Physics System of Particles and Rotational Motion Effect of Internal and External Force on Centre of Mass

Medium

Assertion $(A):$ If there is no external torque on a body about its centre of mass,then the velocity of the centre of mass remains constant.
Reason $(R):$ The linear momentum of an isolated system remains constant.

A
If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B
If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C
If Assertion is true but Reason is false.
D
If both Assertion and Reason are false.

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System of Particles and Rotational Motion

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Effect of Internal and External Force on Centre of Mass

Two persons of mass $m_1$ and $m_2$ are standing at the two ends $A$ and $B$ respectively,of a trolley of mass $M$ as shown. When both the persons jump simultaneously with the same speed,then:

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$A$ monkey of mass $m$ is at rest on a light rope attached to a balloon of mass $M$ in mid-air. If the monkey climbs up the rope and reaches the top of the rope,what is the distance covered by the balloon? (The total length of the rope is $L$)

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The multiplication of the total mass of a system and the acceleration of its centre of mass denotes what?

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Choose the correct statement$(s)$:
$(A)$ The position of the centre of mass of a system is dependent on the choice of coordinate system.
$(B)$ Newton's second law of motion is applicable to the centre of mass of the system.
$(C)$ Internal forces cannot change the state of the centre of mass.
$(D)$ Internal forces can change the state of the centre of mass.

MediumTS EAMCET 2012

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Internal forces acting in a system of particles can change:

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Assertion $(A):$ If there is no external torque on a body about its centre of mass,then the velocity of the centre of mass remains constant.Reason $(R):$ The linear momentum of an isolated system remains constant.

Similar Questions

Two persons of mass $m_1$ and $m_2$ are standing at the two ends $A$ and $B$ respectively,of a trolley of mass $M$ as shown. When both the persons jump simultaneously with the same speed,then:

$A$ monkey of mass $m$ is at rest on a light rope attached to a balloon of mass $M$ in mid-air. If the monkey climbs up the rope and reaches the top of the rope,what is the distance covered by the balloon? (The total length of the rope is $L$)

The multiplication of the total mass of a system and the acceleration of its centre of mass denotes what?

Internal forces acting in a system of particles can change:

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Assertion $(A):$ If there is no external torque on a body about its centre of mass,then the velocity of the centre of mass remains constant.
Reason $(R):$ The linear momentum of an isolated system remains constant.