Home
Class 12
PHYSICS
The moment of inertia of a solid sphere,...

The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x form it is, 'I(x)'. Which one of the graphs represents the variation of 'I(x) with x correctly ?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A
`I(x) = I_(cm) + Md^(2) = 2/5 MR^(2) + Mx^(2)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive) (SINGLE OPTION CORRECT TYPE)|26 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive) (MULTIPLE OPTIONS CORRECT TYPE)|17 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise LEVEL - 2 (Angular Momentum, Collision)|20 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise PHYSICS|25 Videos

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos

Similar Questions

Explore conceptually related problems

Moment of inertia I of a solid sphere about an axis parallel to a diameter and at a distance x from it varies as:

Figure represents the moment of inertia of the solid sphere about an axis parallel to the diameter of the solid sphere and at a distance x from t. Which one of the following represents the variations of I with x ?

What is the moment of inertia of a solid sphere of density rho and radius R about its diameter ?

What is the moment of inertia of solid sphere of density rho and radius R about its diameter ?

What is the moment of inertia of a circular disc about one of its diameters ?

The moment of inertia of a solid sphere of radius R about its diameter is same as that of a disc of radius 2R about its diameter. The ratio of their masses is

A square plate has a moment of inertia l_(0) about an axis lying in its plane, passing through its centre and making an angle theta with one of the sides. Which graph represents the variation of l with theta ?

Moment of inertia of a disc about an axis parallel to diameter and at a distance x from the centre of the disc is same as the moment of inertia of the disc about its centre axis. The radius of disc is R . The value of x is

The moment of inertia of cylinder of radius a, mass M and height h about an axis parallel to the axis of the cylinder and distance b from its centre is :

Which of the following graphs best represents the variation of acceleration 'a' with displacement x?

VMC MODULES ENGLISH-ROTATIONAL MOTION -JEE MAIN (ARCHIVE)
  1. A solid sphere of mass m & rdius R is divided in two parts of m mass (...

    Text Solution

    |

  2. A metal coinn of mass 5 g and radius 1 cm is fixed to a thin stick AB...

    Text Solution

    |

  3. A circular disc of radius b has a hole of radius a at its centre (see ...

    Text Solution

    |

  4. A uniform rod of length l is being rotated in a horizontal plane with ...

    Text Solution

    |

  5. A smooth wire of length 2pir is bent into a circle and kept in a vert...

    Text Solution

    |

  6. A rod of length 50cm is pivoted at one end. It is raised such that if ...

    Text Solution

    |

  7. An L-shaped object, made of thin rods of uniform mass density, is susp...

    Text Solution

    |

  8. A rigid massless rod of length 3l has two masses attached at each end ...

    Text Solution

    |

  9. Two identical spherical balls of mass M and radius R each are stuck on...

    Text Solution

    |

  10. A homogenous solid cylindrical roller of radius R and mass M is pulled...

    Text Solution

    |

  11. To mop-clean a floor, a cleaning machine presses a circular mop of rad...

    Text Solution

    |

  12. A string is wound around a hollow cylinder of mass 5 Kg and radius ...

    Text Solution

    |

  13. A circular disc D(1) of mass M and radius R has two identical disc D(...

    Text Solution

    |

  14. The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about t...

    Text Solution

    |

  15. An equilateral triangle ABC is cut from a thin solid sheet of wood .(s...

    Text Solution

    |

  16. A slab is subjected to two forces vec F(1) and vec F(2) of same magnit...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  19. Two particles A,B are moving on two concentric circles of radii R1 and...

    Text Solution

    |

  20. Let the moment of inertia of a hollow cylinder of length 30 cm (...

    Text Solution

    |