(D) According to the law of conservation of angular momentum,$L = I\omega = \text{constant}$.When the ice melts,the water spreads out over the surface

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(D) According to the law of conservation of angular momentum,$L = I\omega = \text{constant}$.When the ice melts,the water spreads out over the surface of the table,increasing the distance of the mass from the axis of rotation.This increase in the distribution of mass leads to an increase in the moment of inertia $(I)$ of the system.Since $L$ remains constant and $I$ increases,the angular velocity $\omega$ must decrease to satisfy the equation $\omega = L/I$.Therefore,the rotational speed of the system will become less than $\omega$.

Class 11 Physics System of Particles and Rotational Motion Conservation of angular momentum (combined translation and rotational motion)

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An ice block is placed at the center of a circular table. The system is rotated about the axis of the table with an angular velocity $\omega$. If the ice starts melting without evaporation,the rotational speed of the system will:

A
become zero
B
remain constant at the same value of $\omega$
C
become greater than $\omega$
D
become less than $\omega$

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Chapter

System of Particles and Rotational Motion

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Conservation of angular momentum (combined translation and rotational motion)

The angular momentum of a system of particles is conserved:

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$A$ uniform disc of mass $M$ is rotating with a constant angular velocity $\omega$ about an axis passing through its center and perpendicular to its plane. Let its angular momentum be $L$. $A$ drop of molten plastic falls onto the disc and sticks to it. Which of the following remains constant?

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$A$ thin circular ring of mass $M$ and radius $r$ is rotating about its axis with a constant angular velocity $\omega$. Two objects,each of mass $m$,are attached gently to the opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity:

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$A$ solid cylinder of mass $2 \ kg$ and radius $0.2 \ m$ is rotating with an angular velocity of $3 \ rad/s$. $A$ particle of mass $0.5 \ kg$ moving with a velocity of $5 \ m/s$ strikes its periphery tangentially and sticks to it. Find the angular velocity of the system after the collision in $rad/s$.

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If the volume of the Earth suddenly shrinks to $1/64$ of its present volume without any change in its mass,then the duration of the day on Earth will be ..... hours.

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An ice block is placed at the center of a circular table. The system is rotated about the axis of the table with an angular velocity $\omega$. If the ice starts melting without evaporation,the rotational speed of the system will:

Similar Questions

The angular momentum of a system of particles is conserved:

$A$ uniform disc of mass $M$ is rotating with a constant angular velocity $\omega$ about an axis passing through its center and perpendicular to its plane. Let its angular momentum be $L$. $A$ drop of molten plastic falls onto the disc and sticks to it. Which of the following remains constant?

$A$ thin circular ring of mass $M$ and radius $r$ is rotating about its axis with a constant angular velocity $\omega$. Two objects,each of mass $m$,are attached gently to the opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity:

If the volume of the Earth suddenly shrinks to $1/64$ of its present volume without any change in its mass,then the duration of the day on Earth will be ..... hours.

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