Home
Class 11
PHYSICS
Find moment of inertia of a thin sheet o...


Find moment of inertia of a thin sheet of mass `M` in the shape of an equilateral triangle about an axis as shown in figure. The length of each side is `L`

A

`3ML^(2)//8`

B

`3sqrt(3)ML^(2)//8`

C

`7ML^(2)//8`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

Find the moment of inertia of a hemisphere of mass M and radius R shown in the figure, about an axis A A' tangential to the hemisphere.

The moment of inertia of a thin sheet of mass M of the given shape about the specified axis is ( axis and sheet both are in same plane : )

Find the moment of inertia of the rod AB about an axis yy as shown in figure. Mass of the rod is m and length is l.

Three particles, each of mass m are situated at the vertices of an equilateral triangle ABC of side l (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, will be:

The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to the rod at a distance L/4 from one end is

A current of 10A is flowing in a equilateral triangle of side length l=1M as shown in figure. The magnetic field at center of triangle is:

A thin semi circular cylindrical shell has mass M and radius R. Find its moment of inertia about a line passing through its centre of mass parallel to the axis (shown in figure) of the cylinder.

Moment of inertia of a cylindrical shell of mass M, radius R and length L about its geometrical axis would be -

Three rods each of mass m and length l are joined together to form an equilateral triangle as shown in figure. Find the moment of inertial of the system about an axis passig through its centre of mass and perpendicular to the plane of the particle.

DC PANDEY-ROTATIONAL MECHANICS-Level 1 Objective
  1. For the same total mass, which of the following will have the largest ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. A rod of uniform cross-section of mass M and length L is hinged about ...

    Text Solution

    |

  12. Let I(1) and I(2) be the moment of inertia of a uniform square plate a...

    Text Solution

    |

  13. Moment of inertia of a uniform rod of length L and mass M, about an ax...

    Text Solution

    |

  14. A uniform rod of legth L is free to rotate in a vertica plane about a ...

    Text Solution

    |

  15. Two partcles of masses 1 kg and 2 kg are placed at a distance of 3 m. ...

    Text Solution

    |

  16. Find moment of inertia of a thin sheet of mass M in the shape of an eq...

    Text Solution

    |

  17. A square is made by joining four rods each of mass M and length L. Its...

    Text Solution

    |

  18. A thin rod of length 4l, mass 4 m is bent at the point as shown in the...

    Text Solution

    |

  19. The figure shows two cones A and B with the conditions h(A)lth(B),rho(...

    Text Solution

    |

  20. Linear mass density of the two rods system, AC and CD is x. moment of ...

    Text Solution

    |