Home
Class 11
PHYSICS
Assertion : Speed of any point on rigid ...

Assertion : Speed of any point on rigid body executing rolling motion can be calculated by expression `v =r omega`, where r is distance of point from intantaneous centre of rotation
Reason : Rolling motion of rigid body can be considered as a pure rotation about instantaneous centre of rotation.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion

C

If Assertion is true but Reason is fasle

D

If Assertion is false but Reason is true

Text Solution

Verified by Experts

The correct Answer is:
C

In a rotating body, every particle has different linear velocity to be calculated by formula `v = omegar`. All rolling motion can not be considered pure rotation. For pure rotation, the condition is linear velocities of body `= omega r`
Promotional Banner

Topper's Solved these Questions

  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos
  • ROTATION

    DC PANDEY|Exercise (A) Chapter Exercises|83 Videos
  • RAY OPTICS

    DC PANDEY|Exercise Integer type q.|15 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Subjective Questions|2 Videos

Similar Questions

Explore conceptually related problems

Rotation OF Rigid Body - 8 ( Pure Rolling)

Rotation OF Rigid Body - 7 ( Pure Rolling)

Assertion : In rolling, all points of a rigid body have the same linear velocity. Reason : The rotational motion does not affect the linear velocity.

A sphere cannot roll on a smooth inclined surface. The motion of a rigid body which is pivoted or fixed in some way is rotation.

At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact. This axis is translating forward with speed

At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact. This axis is translating forward with speed

A sphere is moving at some instant with horizontal velocity v_(0) in right and angular velocity omega in anti clockwise sense. If |v_(0)| = |omega R| , the instantaneous centre of rotation is

Assertion : The angular velocity of a rigid body in motion is defined for the whole body Reason : All points on a rigid body performing pure rotational motion are having same angular velocity.

Assertion : The moment of inertia of a rigid body reduces to its minimum value, when the axis of rotation passes through its centre of gravity. Reason : The weight of a rigid body always acts through its centre of gravity.

A body at rest starts from a point at a distance r (gtR) from the centre of the Earth. If M and R stand for the speed of the body when it reaches the Earth surface is

DC PANDEY-ROTATION-(B) Chapter Exercises
  1. Assertion : The condition of equilibrium for a rigid body is Transla...

    Text Solution

    |

  2. Assertion : Two axes AB and CD are as shown in figure. Given figure is...

    Text Solution

    |

  3. Assertion : If a particle moves with a constant velocity, then angular...

    Text Solution

    |

  4. Assertion : Two identical solid spheres are rotated frm rest to same a...

    Text Solution

    |

  5. Assertion : A ring and a disc of same mass and radius begin to roll wi...

    Text Solution

    |

  6. Assertion : A sphere is placed in pure rolling condition over a rough ...

    Text Solution

    |

  7. Assertion : In rotational plus translational motion of a rigid body, d...

    Text Solution

    |

  8. Assertion : Angular momentum of sun and planet system about any point ...

    Text Solution

    |

  9. Assertion : Moment of inertia about an axis passing throught centre of...

    Text Solution

    |

  10. Assertion : A solid sphere cannot roll without slipping on smooth hori...

    Text Solution

    |

  11. Assertion : Speed of any point on rigid body executing rolling motion...

    Text Solution

    |

  12. Assertion : A solid sphere and a ring of same mass and radius are rele...

    Text Solution

    |

  13. Assertion : A uniform disc of radius R is performing impure rolling mo...

    Text Solution

    |

  14. Assertion : Two identical spherical balls are released from two inclin...

    Text Solution

    |

  15. Assertion : A solid and a hollow sphere both of equal masses and radii...

    Text Solution

    |

  16. If radius if earth is reduced to half without changing its mass, then ...

    Text Solution

    |

  17. A disc rolls on ground without slipping. Velocity of centre of mass is...

    Text Solution

    |

  18. A solid sphere is rotating about an axis shown in figure. An insect fo...

    Text Solution

    |

  19. Four rods of equal length l and mass m each forms a square as shown in...

    Text Solution

    |

  20. A semicircular ring has mass m and radius R as shown in figure. Let I(...

    Text Solution

    |