(D) The earth is an isolated system with respect to external torques, so its angular momentum $L = I\omega$ remains constant.When ice at the poles mel

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Angular momentum of the earth is constant and duration of day increases

(D) The earth is an isolated system with respect to external torques, so its angular momentum $L = I\omega$ remains constant.When ice at the poles melts and water flows to the equator, the mass distribution of the earth changes such that more mass is concentrated further from the axis of rotation.This increases the moment of inertia $I$ of the earth $(I = \sum mr^2)$.Since $L = I\omega$ is constant, an increase in $I$ must result in a decrease in angular velocity $\omega$.As $\omega = 2\pi / T$, where $T$ is the duration of the day, a decrease in $\omega$ leads to an increase in the duration of the day $T$.

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

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Due to global warming, if the ice in the polar region melts and some of this water flows to the equatorial region, then

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Angular momentum of the earth increases and duration of day increases
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Angular momentum of the earth decreases and duration of day decreases
C
Angular momentum of the earth is constant and duration of day decreases
D
Angular momentum of the earth is constant and duration of day increases

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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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Due to global warming, if the ice in the polar region melts and some of this water flows to the equatorial region, then

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$A$ disc is rotating with an angular velocity $\omega$. $A$ child sits on it gently. Which of the following quantities will be conserved?

The position vector of a particle is given by $\vec{r} = 2\hat{i} - 6\hat{j} - 12\hat{k}$ units. $A$ force $\vec{F} = p\hat{i} + 3\hat{j} + 6\hat{k}$ units acts on it. For what value of $p$ is the angular momentum conserved?

$A$ force $\overrightarrow{F} = \alpha \hat{i} + 3\hat{j} + 6\hat{k}$ is acting at a point $\overrightarrow{R} = 2\hat{i} - 6\hat{j} - 12\hat{k}$. The value of $\alpha$ for which angular momentum about the origin is conserved is

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