Home
Class 11
PHYSICS
The radius of gyration of a disc of radi...

The radius of gyration of a disc of radius 25 cm about a centroidal axis perpendicular to disc is

A

18 cm

B

12.5 cm

C

36 cm

D

50 cm

Text Solution

Verified by Experts

The correct Answer is:
A
`K=sqrt((I)/(M))`
`=sqrt(((1)/(2)mR^(2))/(m))=(R)/(sqrt(2))`
`=(25)/(sqrt(2))=18cm`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 1 Subjective|32 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2 Single Correct|26 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Assertion And Reason|11 Videos

  • ROTATION

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

  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

The radius of gyration of a thin disc of radius 4 cm about a diameter is

The radius of gyration of a uniform disc about a line perpendicular to the disc equals ilts radius. Find the distance of the line from the centre.

The radius of gyration of a disc of mass 50 g and radius 2.5 cm, about an axis passing through its centre of gravity and perpendicular to the plane is

The radius of gyration of a disc of mass 100 g and radius 5 cm about an axis passing through its centre of gravity and perpendicular to the plane is

The radius of gyration of a disc of mass 100 g and radius 5 cm about an axis pasing through centre of gravity and perpendicular to the plane is

The radius of gyration of a uniform circular disc of radius R , about any diameter of the disc is

If k_(1) is radius of gyration of a circular disc about a tangent perpendicular to plane of disc and k_(2) is radius of gyration of a circular ring of same size as disc about any diameter, what is the value of K_(1)^(2)//K_(2)^(2) ?

The radius of gyration of a uniform disc of radius R, about an axis passing through a point (R )/(2) away from the centre of disc, and perpendicular to the plane of disc is:

DC PANDEY-ROTATIONAL MECHANICS-Level 1 Objective
  1. The moment of inertia of a body does not depend on

    Text Solution

    |

  2. The radius of gyration of a disc of radius 25 cm about a centroidal ax...

    Text Solution

    |

  3. A shaft initially rotating at 1725 rpm is brought to rest uniformly in...

    Text Solution

    |

  4. A man standing on a platform holds weights in his outstretched arms. T...

    Text Solution

    |

  5. Moment of inertia of a thin semicircular disc (mass - M & radius = R) ...

    Text Solution

    |

  6. Two bodies A and B made of same material have the moment of inertial i...

    Text Solution

    |

  7. When a sphere rolls down an inclined plane, then identity the correct ...

    Text Solution

    |

  8. A circular table rotates about a vertical axis with a constant angular...

    Text Solution

    |

  9. If R is the radius of gyration of a body of mass M and radius r, then ...

    Text Solution

    |

  10. A solid sphere rolls down two different inclined planes of the same he...

    Text Solution

    |

  11. For the same total mass, which of the following will have the largest ...

    Text Solution

    |

  12. A disc and a solid sphere of same mass and radius roll down an incline...

    Text Solution

    |

  13. A horizontal disc rotates freely with angular velocity omega about a v...

    Text Solution

    |

  14. A solid homogeneous sphere is moving on a rough horizontal surface, pa...

    Text Solution

    |

  15. A particle of mass m=3kg moves along a straight line 4y-3x=2 where x a...

    Text Solution

    |

  16. A solid sphere rolls without slipping on a rough horizontal floor, mov...

    Text Solution

    |

  17. Ler l be the moment of inertia of a uniform square plate about an axi...

    Text Solution

    |

  18. A spool is pulled horizontally on rough surface by two equal and oppos...

    Text Solution

    |

  19. Two identical discs are positioned on a vertical axis as shown in the ...

    Text Solution

    |

  20. The moment of inertia of hollow sphere (mass M) of inner radius R and ...

    Text Solution

    |