(C) According to the law of conservation of angular momentum, $L = I\omega = \text{constant}$.When the person walks from the edge of the platform towa

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(C) According to the law of conservation of angular momentum, $L = I\omega = \text{constant}$.When the person walks from the edge of the platform towards the center, the moment of inertia $(I)$ of the system decreases.Since $I = \sum mr^2$ and the distance $r$ is decreasing, $I$ decreases.Since angular momentum $L$ is constant, if $I$ decreases, the angular velocity $(\omega)$ must increase.Therefore, the angular velocity will increase.

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

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$A$ man is standing on the edge of a circular platform. The platform is rotating with a constant angular velocity about an axis passing through its center and perpendicular to its plane. If the man walks along the radius towards the axis, the angular velocity will ........ .

A
decrease
B
remain unchanged
C
increase
D
data is insufficient

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System of Particles and Rotational Motion

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Conservation of angular momentum (combined translation and rotational motion)

If the radius of a rotating disc is suddenly halved while its mass remains the same,its angular velocity will become:

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$A$ uniform disc of mass $100 \ kg$ and radius $2 \ m$ is rotating at $1 \ rad/s$ about a perpendicular axis passing through its centre. $A$ boy of mass $60 \ kg$ standing at the centre of the disc suddenly jumps to a point which is $1 \ m$ from the centre of the disc. The final angular velocity of the boy (in $rad/s$) is

EasyTS EAMCET 2018

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$Assertion$ : There are very small sporadic changes in the speed of rotation of the earth.
$Reason$ : Shifting of large air masses in the earth's atmosphere produces a change in the moment of inertia of the earth, causing its speed of rotation to change.

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$A$ person is rotating on a rotating table with their arms held down. Suddenly,they spread their arms out. What happens to their angular momentum?

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$A$ rod of length $L$ and mass $M$ is free to move on a frictionless surface. $A$ ball of mass $m$ moving with speed $v$ strikes the rod as shown in the figure. What should be the mass of the ball so that it remains at rest after the collision?

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$A$ man is standing on the edge of a circular platform. The platform is rotating with a constant angular velocity about an axis passing through its center and perpendicular to its plane. If the man walks along the radius towards the axis, the angular velocity will ........ .

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If the radius of a rotating disc is suddenly halved while its mass remains the same,its angular velocity will become:

$Assertion$ : There are very small sporadic changes in the speed of rotation of the earth.$Reason$ : Shifting of large air masses in the earth's atmosphere produces a change in the moment of inertia of the earth, causing its speed of rotation to change.

$A$ person is rotating on a rotating table with their arms held down. Suddenly,they spread their arms out. What happens to their angular momentum?

$A$ rod of length $L$ and mass $M$ is free to move on a frictionless surface. $A$ ball of mass $m$ moving with speed $v$ strikes the rod as shown in the figure. What should be the mass of the ball so that it remains at rest after the collision?

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$Assertion$ : There are very small sporadic changes in the speed of rotation of the earth.
$Reason$ : Shifting of large air masses in the earth's atmosphere produces a change in the moment of inertia of the earth, causing its speed of rotation to change.