(C) According to the principle of conservation of angular momentum,if no external torque acts on the system,the angular momentum $L$ remains constant.

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(C) According to the principle of conservation of angular momentum,if no external torque acts on the system,the angular momentum $L$ remains constant.Since the plastic drop sticks to the disc,the moment of inertia $I$ of the system increases.As $L = I\omega$ and $L$ is constant,an increase in $I$ results in a decrease in the angular velocity $\omega$.Therefore,only the angular momentum $L$ remains constant.

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

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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?

A
$\omega$
B
Both $\omega$ and $L$
C
Only $L$
D
Neither $\omega$ nor $L$

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System of Particles and Rotational Motion

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Conservation of angular momentum (combined translation and rotational motion)

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$A$ circular disc is rotating with an angular velocity $\omega$. If a child sits on the disc,which of the following quantities will be 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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$A$ body changes its angular speed from $\omega_1$ to $\omega_2$ without any external torque applied. This change is due to a change in its moment of inertia. What is the ratio of the radii of gyration in the two cases?

Keeping the mass of the Earth constant, if its radius is halved, then what will be the duration of the day (in $\text{ hours}$)?

$A$ thin circular ring of mass $M$ and radius $r$ is rotating about its axis with an angular speed $\omega$. Two particles each of mass $m$ are now attached at diametrically opposite points. The angular speed of the ring will become

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