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

365985 Assertion :
A disc is rolling on a rough horizontal surface. The instantaneous speed of the point of contact during perfect rolling is zero with respect to ground.
Reason :
The force of friction can help in achieving pure rolling condition.

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

365986 Assertion :
A sphere is performing pure rolling on a rough horizontal surface with constant angular velocity. Frictional force acting on the sphere is zero.
Reason :
Velocity of contact point is zero.

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

365987 For pure rolling, the relation between \(v_{P}\) and \(v_{Q}\) is:
supporting img

1 \(v_{P}=v_{Q}\)
2 \(v_{P}=2 v_{Q}\)
3 \(v_{P}=\dfrac{v_{Q}}{2}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365988 A solid sphere of mass \(m\) and radius \(\mathrm{R}\) is lying on a rough horizontal plane. A constant force \(4 \mathrm{mg}\) acts vertically at point \(\mathrm{P}\) such that \(\mathrm{OP}\) makes an angle \(60^{\circ}\) with horizontal. Find the minimum value of coefficient of friction so that sphere starts pure rolling.
supporting img

1 \(\dfrac{2}{7}\)
2 \(\dfrac{5}{7}\)
3 \(\dfrac{3}{7}\)
4 \(\dfrac{4}{7}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365985 Assertion :
A disc is rolling on a rough horizontal surface. The instantaneous speed of the point of contact during perfect rolling is zero with respect to ground.
Reason :
The force of friction can help in achieving pure rolling condition.

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

365986 Assertion :
A sphere is performing pure rolling on a rough horizontal surface with constant angular velocity. Frictional force acting on the sphere is zero.
Reason :
Velocity of contact point is zero.

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

365987 For pure rolling, the relation between \(v_{P}\) and \(v_{Q}\) is:
supporting img

1 \(v_{P}=v_{Q}\)
2 \(v_{P}=2 v_{Q}\)
3 \(v_{P}=\dfrac{v_{Q}}{2}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365988 A solid sphere of mass \(m\) and radius \(\mathrm{R}\) is lying on a rough horizontal plane. A constant force \(4 \mathrm{mg}\) acts vertically at point \(\mathrm{P}\) such that \(\mathrm{OP}\) makes an angle \(60^{\circ}\) with horizontal. Find the minimum value of coefficient of friction so that sphere starts pure rolling.
supporting img

1 \(\dfrac{2}{7}\)
2 \(\dfrac{5}{7}\)
3 \(\dfrac{3}{7}\)
4 \(\dfrac{4}{7}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365985 Assertion :
A disc is rolling on a rough horizontal surface. The instantaneous speed of the point of contact during perfect rolling is zero with respect to ground.
Reason :
The force of friction can help in achieving pure rolling condition.

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

365986 Assertion :
A sphere is performing pure rolling on a rough horizontal surface with constant angular velocity. Frictional force acting on the sphere is zero.
Reason :
Velocity of contact point is zero.

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

365987 For pure rolling, the relation between \(v_{P}\) and \(v_{Q}\) is:
supporting img

1 \(v_{P}=v_{Q}\)
2 \(v_{P}=2 v_{Q}\)
3 \(v_{P}=\dfrac{v_{Q}}{2}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365988 A solid sphere of mass \(m\) and radius \(\mathrm{R}\) is lying on a rough horizontal plane. A constant force \(4 \mathrm{mg}\) acts vertically at point \(\mathrm{P}\) such that \(\mathrm{OP}\) makes an angle \(60^{\circ}\) with horizontal. Find the minimum value of coefficient of friction so that sphere starts pure rolling.
supporting img

1 \(\dfrac{2}{7}\)
2 \(\dfrac{5}{7}\)
3 \(\dfrac{3}{7}\)
4 \(\dfrac{4}{7}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365985 Assertion :
A disc is rolling on a rough horizontal surface. The instantaneous speed of the point of contact during perfect rolling is zero with respect to ground.
Reason :
The force of friction can help in achieving pure rolling condition.

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

365986 Assertion :
A sphere is performing pure rolling on a rough horizontal surface with constant angular velocity. Frictional force acting on the sphere is zero.
Reason :
Velocity of contact point is zero.

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

365987 For pure rolling, the relation between \(v_{P}\) and \(v_{Q}\) is:
supporting img

1 \(v_{P}=v_{Q}\)
2 \(v_{P}=2 v_{Q}\)
3 \(v_{P}=\dfrac{v_{Q}}{2}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365988 A solid sphere of mass \(m\) and radius \(\mathrm{R}\) is lying on a rough horizontal plane. A constant force \(4 \mathrm{mg}\) acts vertically at point \(\mathrm{P}\) such that \(\mathrm{OP}\) makes an angle \(60^{\circ}\) with horizontal. Find the minimum value of coefficient of friction so that sphere starts pure rolling.
supporting img

1 \(\dfrac{2}{7}\)
2 \(\dfrac{5}{7}\)
3 \(\dfrac{3}{7}\)
4 \(\dfrac{4}{7}\)