Home
Class 11
PHYSICS
What is radius of gyration of a soild sp...

What is radius of gyration of a soild sphere of mass `m` and radius `r` about its diameter ?

Text Solution

Verified by Experts

`I = MK^(2) = (2)/(5)MR^(2) = 0.4 MR^(2)`
`K = R sqrt(0.4)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise VERY SHORT ANSWER QUESTIONS II.|2 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise SHORT ANSWER QUESTIONS I.|2 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise VERY SHORT ANSWER QUESTIONS I.|2 Videos

  • RAY OPTICS

    PRADEEP|Exercise Problem For Practice(a)|25 Videos

  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

The M.I. of solid sphere of mass M and radius R about its diameter is

The radius of gyration of a solid hemisphere of mass M and radius Rn about an axis parallel to the diameter at a distance (3)/(4) R is given by (centre of mass of the hemisphere lies at a height 3R//8 from the base.)

The radius of gyration of a solid sphere of radius R about its tangential is

The moment of inertia of a solid sphere of mass M and radius R about its diameter is I. The moment of inertia of the same sphere about a tangent parallel to the diameter is

Moment of inertia of a circular wire of mass M and radius R about its diameter is

Moment of inertia of a circular wire of mass M and radius R about its diameter is :

Moment of inertia of a solid sphere of radius R and density p about its diameter is

PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-VERY SHORT ANSWER QUESTIONS
  1. Moment of inertia of a hollow cylinder of mass M and radius R, about t...

    Text Solution

    |

  2. What is moment of inertia of a solid cylinder of mass m, length l and ...

    Text Solution

    |

  3. What is radius of gyration of a soild sphere of mass m and radius r ab...

    Text Solution

    |

  4. On what factors does the radius of gyration of a body depend ?

    Text Solution

    |

  5. A ring and a circular disc of different materials have equal masses an...

    Text Solution

    |

  6. A disc of metal is melted and recast in the from of a soild sphere. Wh...

    Text Solution

    |

  7. What are the units and dimensions of moment of inertia ? Is it a vecto...

    Text Solution

    |

  8. What is rotational analogure of mass of a body ?

    Text Solution

    |

  9. State the two theorems of moment of inertia.

    Text Solution

    |

  10. What is moment of inertia of a solid sphere about its diameter ?

    Text Solution

    |

  11. What is the moment of inertia of a hollow sphere about an axis passing...

    Text Solution

    |

  12. What are the factors on which moment of inertia of a body depend ?

    Text Solution

    |

  13. Is radius of gyration of a body constant quantity ?

    Text Solution

    |

  14. There are two spheres of same mass and same radius, one is solid and o...

    Text Solution

    |

  15. Two solid spheres of the same are made of metals of different densitie...

    Text Solution

    |

  16. Name the rotational analogue of force. What are its units ?

    Text Solution

    |

  17. A cannot ball and a marble ball roll from rest down an incline. Which ...

    Text Solution

    |

  18. Can a body in translatory motion have angular momentum ? Explain.

    Text Solution

    |

  19. Why spin angular velocity of a star is greatly enhanced when it collap...

    Text Solution

    |

  20. Fill in the blanks : (i) overset rarr(tau) = overset rarr(r ) xx … (...

    Text Solution

    |