Angular Momentum and its Conservation for a Rigid Body
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365641 A cockroach of mass ' \({m}\) ' is moving with velocity \({v}\) in anticlockwise sense on the rim of a disc of radius R. The M.I. of the disc about the axis is ' \({I}\) ' and it is rotating in clockwise direction with an angular velocity ' \({\omega}\) '. If the cockroach stops then calculate the angular velocity of disc.
supporting img

1 \({\dfrac{I \omega+m v R}{I+m R^{2}}}\)
2 \({\dfrac{I \omega-m v R}{I+m R^{2}}}\)
3 \({\dfrac{I \omega-m v R}{I-m R^{2}}}\)
4 \({\dfrac{I \omega}{I-m R^{2}}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365642 Assertion :
The spin angular velocity of a star is greatly enhanced when it collapse under gravitational pull and become a neutron star.
Reason :
According to law of conservation of angular momentum there is increase in angular velocity of collapsing star.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365643 Assertion :
The speed of spinning wind in a tornado is very high.
Reason :
If no external torque acts on a body, its angular velocity remains conserved.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365644 A cube of mass \(m\) and edge length \(l=1 {~m}\) is sliding without friction on a smooth horizontal floor with velocity \(v_{0}=8 {~m} / {s}\) it strikes a long obstruction \(P P\) of small height The obstruction is parallel to the leading bottom edge of the cube. The leading bottom edge of the cube gets pivoted with the obstruction and the cube starts rotating about the edge. Determine angular velocity of the cube immediately after the impact.
supporting img

1 \(2\,rad/s\)
2 \(4\,rad/s\)
3 \(8\,rad/s\)
4 \(10\,rad/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365645 If radius of earth is reduced to half without changing its mass, then match the following columns

1 A - R, B - S, C - Q
2 A - P, B - Q, C- R
3 A - S, B - Q, C - P
4 A - Q, B - R, C - S
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365641 A cockroach of mass ' \({m}\) ' is moving with velocity \({v}\) in anticlockwise sense on the rim of a disc of radius R. The M.I. of the disc about the axis is ' \({I}\) ' and it is rotating in clockwise direction with an angular velocity ' \({\omega}\) '. If the cockroach stops then calculate the angular velocity of disc.
supporting img

1 \({\dfrac{I \omega+m v R}{I+m R^{2}}}\)
2 \({\dfrac{I \omega-m v R}{I+m R^{2}}}\)
3 \({\dfrac{I \omega-m v R}{I-m R^{2}}}\)
4 \({\dfrac{I \omega}{I-m R^{2}}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365642 Assertion :
The spin angular velocity of a star is greatly enhanced when it collapse under gravitational pull and become a neutron star.
Reason :
According to law of conservation of angular momentum there is increase in angular velocity of collapsing star.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365643 Assertion :
The speed of spinning wind in a tornado is very high.
Reason :
If no external torque acts on a body, its angular velocity remains conserved.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365644 A cube of mass \(m\) and edge length \(l=1 {~m}\) is sliding without friction on a smooth horizontal floor with velocity \(v_{0}=8 {~m} / {s}\) it strikes a long obstruction \(P P\) of small height The obstruction is parallel to the leading bottom edge of the cube. The leading bottom edge of the cube gets pivoted with the obstruction and the cube starts rotating about the edge. Determine angular velocity of the cube immediately after the impact.
supporting img

1 \(2\,rad/s\)
2 \(4\,rad/s\)
3 \(8\,rad/s\)
4 \(10\,rad/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365645 If radius of earth is reduced to half without changing its mass, then match the following columns

1 A - R, B - S, C - Q
2 A - P, B - Q, C- R
3 A - S, B - Q, C - P
4 A - Q, B - R, C - S
For More Updates join with Us
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365641 A cockroach of mass ' \({m}\) ' is moving with velocity \({v}\) in anticlockwise sense on the rim of a disc of radius R. The M.I. of the disc about the axis is ' \({I}\) ' and it is rotating in clockwise direction with an angular velocity ' \({\omega}\) '. If the cockroach stops then calculate the angular velocity of disc.
supporting img

1 \({\dfrac{I \omega+m v R}{I+m R^{2}}}\)
2 \({\dfrac{I \omega-m v R}{I+m R^{2}}}\)
3 \({\dfrac{I \omega-m v R}{I-m R^{2}}}\)
4 \({\dfrac{I \omega}{I-m R^{2}}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365642 Assertion :
The spin angular velocity of a star is greatly enhanced when it collapse under gravitational pull and become a neutron star.
Reason :
According to law of conservation of angular momentum there is increase in angular velocity of collapsing star.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365643 Assertion :
The speed of spinning wind in a tornado is very high.
Reason :
If no external torque acts on a body, its angular velocity remains conserved.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365644 A cube of mass \(m\) and edge length \(l=1 {~m}\) is sliding without friction on a smooth horizontal floor with velocity \(v_{0}=8 {~m} / {s}\) it strikes a long obstruction \(P P\) of small height The obstruction is parallel to the leading bottom edge of the cube. The leading bottom edge of the cube gets pivoted with the obstruction and the cube starts rotating about the edge. Determine angular velocity of the cube immediately after the impact.
supporting img

1 \(2\,rad/s\)
2 \(4\,rad/s\)
3 \(8\,rad/s\)
4 \(10\,rad/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365645 If radius of earth is reduced to half without changing its mass, then match the following columns

1 A - R, B - S, C - Q
2 A - P, B - Q, C- R
3 A - S, B - Q, C - P
4 A - Q, B - R, C - S
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365641 A cockroach of mass ' \({m}\) ' is moving with velocity \({v}\) in anticlockwise sense on the rim of a disc of radius R. The M.I. of the disc about the axis is ' \({I}\) ' and it is rotating in clockwise direction with an angular velocity ' \({\omega}\) '. If the cockroach stops then calculate the angular velocity of disc.
supporting img

1 \({\dfrac{I \omega+m v R}{I+m R^{2}}}\)
2 \({\dfrac{I \omega-m v R}{I+m R^{2}}}\)
3 \({\dfrac{I \omega-m v R}{I-m R^{2}}}\)
4 \({\dfrac{I \omega}{I-m R^{2}}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365642 Assertion :
The spin angular velocity of a star is greatly enhanced when it collapse under gravitational pull and become a neutron star.
Reason :
According to law of conservation of angular momentum there is increase in angular velocity of collapsing star.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365643 Assertion :
The speed of spinning wind in a tornado is very high.
Reason :
If no external torque acts on a body, its angular velocity remains conserved.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365644 A cube of mass \(m\) and edge length \(l=1 {~m}\) is sliding without friction on a smooth horizontal floor with velocity \(v_{0}=8 {~m} / {s}\) it strikes a long obstruction \(P P\) of small height The obstruction is parallel to the leading bottom edge of the cube. The leading bottom edge of the cube gets pivoted with the obstruction and the cube starts rotating about the edge. Determine angular velocity of the cube immediately after the impact.
supporting img

1 \(2\,rad/s\)
2 \(4\,rad/s\)
3 \(8\,rad/s\)
4 \(10\,rad/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365645 If radius of earth is reduced to half without changing its mass, then match the following columns

1 A - R, B - S, C - Q
2 A - P, B - Q, C- R
3 A - S, B - Q, C - P
4 A - Q, B - R, C - S
Join With Us for More Updates
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365641 A cockroach of mass ' \({m}\) ' is moving with velocity \({v}\) in anticlockwise sense on the rim of a disc of radius R. The M.I. of the disc about the axis is ' \({I}\) ' and it is rotating in clockwise direction with an angular velocity ' \({\omega}\) '. If the cockroach stops then calculate the angular velocity of disc.
supporting img

1 \({\dfrac{I \omega+m v R}{I+m R^{2}}}\)
2 \({\dfrac{I \omega-m v R}{I+m R^{2}}}\)
3 \({\dfrac{I \omega-m v R}{I-m R^{2}}}\)
4 \({\dfrac{I \omega}{I-m R^{2}}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365642 Assertion :
The spin angular velocity of a star is greatly enhanced when it collapse under gravitational pull and become a neutron star.
Reason :
According to law of conservation of angular momentum there is increase in angular velocity of collapsing star.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365643 Assertion :
The speed of spinning wind in a tornado is very high.
Reason :
If no external torque acts on a body, its angular velocity remains conserved.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365644 A cube of mass \(m\) and edge length \(l=1 {~m}\) is sliding without friction on a smooth horizontal floor with velocity \(v_{0}=8 {~m} / {s}\) it strikes a long obstruction \(P P\) of small height The obstruction is parallel to the leading bottom edge of the cube. The leading bottom edge of the cube gets pivoted with the obstruction and the cube starts rotating about the edge. Determine angular velocity of the cube immediately after the impact.
supporting img

1 \(2\,rad/s\)
2 \(4\,rad/s\)
3 \(8\,rad/s\)
4 \(10\,rad/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365645 If radius of earth is reduced to half without changing its mass, then match the following columns

1 A - R, B - S, C - Q
2 A - P, B - Q, C- R
3 A - S, B - Q, C - P
4 A - Q, B - R, C - S