Plane Motion of a Rigid Body
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366019 A body of mass \(M\) slides down an inclined smooth plane and reaches the bottom with a velocity \(v\). If the same mass were in the form of a ring which rolls down the incline plane with same dimensions as earlier (but rough), the velocity of the ring at bottom

1 \(\sqrt{2} v\)
2 \(v\)
3 \(\dfrac{1}{\sqrt{2}} v\)
4 \(\sqrt{\dfrac{2}{5}} v\)
NCERT Exemplar
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366020 A coin is of mass \(4.8\;kg\) and radius \(1\;m\) rolling on a horizontal surface without sliding with angular velocity 600 rot \({\min ^{ - 1}}.\) What is total kinetic energy of the coin?

1 \(360 \mathrm{~J}\)
2 \(1440 \pi^{2} J\)
3 \(4000 \pi^{2} J\)
4 \(600 \pi^{2} J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366021 A thin hollow sphere of mass \({m}\) is completely filled with an ideal liquid of mass \({m}\). When the sphere rolls with a velocity \({v}\), kinetic energy of the system is equal to :

1 \({\dfrac{1}{2} m v^{2}}\)
2 \({m v^{2}}\)
3 \({\dfrac{4}{3} m v^{2}}\)
4 \({\dfrac{4}{5} m v^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366022 When a sphere of moment of inertia \(I\) about its centre of mass and mass \(m\) rolls from rest down an inclined plane without slipping. Its kinetic energy is

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

366023 Assertion :
The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane compared to when it is rolling down the same plane.
Reason :
In rolling down, a body acquires both kinetic energy of translation and rotation.

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.
NEET DIGITAL LIBRARY
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366019 A body of mass \(M\) slides down an inclined smooth plane and reaches the bottom with a velocity \(v\). If the same mass were in the form of a ring which rolls down the incline plane with same dimensions as earlier (but rough), the velocity of the ring at bottom

1 \(\sqrt{2} v\)
2 \(v\)
3 \(\dfrac{1}{\sqrt{2}} v\)
4 \(\sqrt{\dfrac{2}{5}} v\)
NCERT Exemplar
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366020 A coin is of mass \(4.8\;kg\) and radius \(1\;m\) rolling on a horizontal surface without sliding with angular velocity 600 rot \({\min ^{ - 1}}.\) What is total kinetic energy of the coin?

1 \(360 \mathrm{~J}\)
2 \(1440 \pi^{2} J\)
3 \(4000 \pi^{2} J\)
4 \(600 \pi^{2} J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366021 A thin hollow sphere of mass \({m}\) is completely filled with an ideal liquid of mass \({m}\). When the sphere rolls with a velocity \({v}\), kinetic energy of the system is equal to :

1 \({\dfrac{1}{2} m v^{2}}\)
2 \({m v^{2}}\)
3 \({\dfrac{4}{3} m v^{2}}\)
4 \({\dfrac{4}{5} m v^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366022 When a sphere of moment of inertia \(I\) about its centre of mass and mass \(m\) rolls from rest down an inclined plane without slipping. Its kinetic energy is

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

366023 Assertion :
The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane compared to when it is rolling down the same plane.
Reason :
In rolling down, a body acquires both kinetic energy of translation and rotation.

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.
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366019 A body of mass \(M\) slides down an inclined smooth plane and reaches the bottom with a velocity \(v\). If the same mass were in the form of a ring which rolls down the incline plane with same dimensions as earlier (but rough), the velocity of the ring at bottom

1 \(\sqrt{2} v\)
2 \(v\)
3 \(\dfrac{1}{\sqrt{2}} v\)
4 \(\sqrt{\dfrac{2}{5}} v\)
NCERT Exemplar
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366020 A coin is of mass \(4.8\;kg\) and radius \(1\;m\) rolling on a horizontal surface without sliding with angular velocity 600 rot \({\min ^{ - 1}}.\) What is total kinetic energy of the coin?

1 \(360 \mathrm{~J}\)
2 \(1440 \pi^{2} J\)
3 \(4000 \pi^{2} J\)
4 \(600 \pi^{2} J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366021 A thin hollow sphere of mass \({m}\) is completely filled with an ideal liquid of mass \({m}\). When the sphere rolls with a velocity \({v}\), kinetic energy of the system is equal to :

1 \({\dfrac{1}{2} m v^{2}}\)
2 \({m v^{2}}\)
3 \({\dfrac{4}{3} m v^{2}}\)
4 \({\dfrac{4}{5} m v^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366022 When a sphere of moment of inertia \(I\) about its centre of mass and mass \(m\) rolls from rest down an inclined plane without slipping. Its kinetic energy is

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

366023 Assertion :
The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane compared to when it is rolling down the same plane.
Reason :
In rolling down, a body acquires both kinetic energy of translation and rotation.

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.
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NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366019 A body of mass \(M\) slides down an inclined smooth plane and reaches the bottom with a velocity \(v\). If the same mass were in the form of a ring which rolls down the incline plane with same dimensions as earlier (but rough), the velocity of the ring at bottom

1 \(\sqrt{2} v\)
2 \(v\)
3 \(\dfrac{1}{\sqrt{2}} v\)
4 \(\sqrt{\dfrac{2}{5}} v\)
NCERT Exemplar
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366020 A coin is of mass \(4.8\;kg\) and radius \(1\;m\) rolling on a horizontal surface without sliding with angular velocity 600 rot \({\min ^{ - 1}}.\) What is total kinetic energy of the coin?

1 \(360 \mathrm{~J}\)
2 \(1440 \pi^{2} J\)
3 \(4000 \pi^{2} J\)
4 \(600 \pi^{2} J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366021 A thin hollow sphere of mass \({m}\) is completely filled with an ideal liquid of mass \({m}\). When the sphere rolls with a velocity \({v}\), kinetic energy of the system is equal to :

1 \({\dfrac{1}{2} m v^{2}}\)
2 \({m v^{2}}\)
3 \({\dfrac{4}{3} m v^{2}}\)
4 \({\dfrac{4}{5} m v^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366022 When a sphere of moment of inertia \(I\) about its centre of mass and mass \(m\) rolls from rest down an inclined plane without slipping. Its kinetic energy is

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

366023 Assertion :
The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane compared to when it is rolling down the same plane.
Reason :
In rolling down, a body acquires both kinetic energy of translation and rotation.

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.
NEET DIGITAL LIBRARY
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366019 A body of mass \(M\) slides down an inclined smooth plane and reaches the bottom with a velocity \(v\). If the same mass were in the form of a ring which rolls down the incline plane with same dimensions as earlier (but rough), the velocity of the ring at bottom

1 \(\sqrt{2} v\)
2 \(v\)
3 \(\dfrac{1}{\sqrt{2}} v\)
4 \(\sqrt{\dfrac{2}{5}} v\)
NCERT Exemplar
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366020 A coin is of mass \(4.8\;kg\) and radius \(1\;m\) rolling on a horizontal surface without sliding with angular velocity 600 rot \({\min ^{ - 1}}.\) What is total kinetic energy of the coin?

1 \(360 \mathrm{~J}\)
2 \(1440 \pi^{2} J\)
3 \(4000 \pi^{2} J\)
4 \(600 \pi^{2} J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366021 A thin hollow sphere of mass \({m}\) is completely filled with an ideal liquid of mass \({m}\). When the sphere rolls with a velocity \({v}\), kinetic energy of the system is equal to :

1 \({\dfrac{1}{2} m v^{2}}\)
2 \({m v^{2}}\)
3 \({\dfrac{4}{3} m v^{2}}\)
4 \({\dfrac{4}{5} m v^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366022 When a sphere of moment of inertia \(I\) about its centre of mass and mass \(m\) rolls from rest down an inclined plane without slipping. Its kinetic energy is

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

366023 Assertion :
The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane compared to when it is rolling down the same plane.
Reason :
In rolling down, a body acquires both kinetic energy of translation and rotation.

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.