Home
Class 11
PHYSICS
Figure shows a thin metallic triangular ...

Figure shows a thin metallic triangular sheet `ABC`. The mass of the sheet is `M`. The moment of inertia of the sheet about side `AC` is :
.

A

`(M l^2)/(18)`

B

`(M l^2)/(12)`

C

`(M l^2)/(6)`

D

`(M l^2)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `h = (l)/(sqrt(2))`
`I_(AC) = (1)/(6) Mh^2 = (M l^2)/(12)`.
.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Rotational Kinematics|19 Videos

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Torque , Torque Equation And Equilibrium Of A Rigid Body|29 Videos

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Displacement , Velocity And Acceleration Of Centre Of Mass|30 Videos

  • PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|29 Videos

  • THERMAL PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

A thin uniform metallic triangular sheet of mass M has sides AB=BC=L. What is its moment of inertia about axis AC lying in plane of sheet ?

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 circumference of a circular sheet is 154 m. The area of the sheet is equal to

Three particles, each of mass m are situated at the vertices of an equilateral triangle ABC of side L figure. Find thee moment of inertia of the system about the line AX perpendicular to AB in the plane of ABC

The moment of inertia of a triangular lamina of mass M about edge AB is equal to?

A uniform plane sheet of metal in the form of a triangle ABC has BC gt AB gt AC . Its moment of inertia will be smallest

An equilateral triangle ABC is cut from a thin solid sheet of wood .(see figure ) D,E and F are the mid-points of its sides as shown and G is the centre of the triangle.The moment of inertia of the triangle about an axis passing through G and perpendicular to the plane to the triangle is I_(0) If the smaller triangle DEF is removed from ABC , the moment of inertia of the remaining figure about the same axis is I. Then :

The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is 90^(@) . The apex lies at the origin and the base is parallel to X - axis. The moment of inertia of the plate about its base parallel to the x-axis is

A2Z-ROTATIONAL DYNAMICS-Moment Of Inertia
  1. Moment of inertia of a uniform circular disc about a diameter is I. It...

    Text Solution

    |

  2. Two circular discs A and B of equal masses and thicknesses. But are ma...

    Text Solution

    |

  3. A uniform square plate has a small piece Q of an irregular shape remov...

    Text Solution

    |

  4. The moment of inertia of an elliptical disc of uniform mass distributi...

    Text Solution

    |

  5. A rectangular lop has mass M and sides a and b. An axis OO' passes thr...

    Text Solution

    |

  6. The moment of inertia of a door of mass m, length 2 l and width l abou...

    Text Solution

    |

  7. Moment of inertia of uniform triangular plate about axis passing throu...

    Text Solution

    |

  8. In a rectangle ABCD, AB = 21 and BC = 1. Axes xx and yy pass through c...

    Text Solution

    |

  9. A triangular plate of uniform thickness and density is made to rotate ...

    Text Solution

    |

  10. A circular disc A of radius r is made from aniron plate of thickness t...

    Text Solution

    |

  11. Figure shows a thin metallic triangular sheet ABC. The mass of the she...

    Text Solution

    |

  12. Two spheres each of mass M and radius R//2 are connected at their cent...

    Text Solution

    |

  13. Two thin discs each of mass M and radius r are attached as shown in fi...

    Text Solution

    |

  14. A ring of mass M and radius R lies in x-y plane with its centre at ori...

    Text Solution

    |

  15. Seven identical discs are arranged in a hexagonal, planar pattern so a...

    Text Solution

    |

  16. A solid aluminimum sphere of radius R has moment of inertia I about an...

    Text Solution

    |

  17. A uniform disc of radius R lies in the x-y plane, with its centre at o...

    Text Solution

    |

  18. The moment of inertia of a hollow cubical box of mass M and side a abo...

    Text Solution

    |

  19. From a circular disc of radius R and mass 9 M , a small disc of radius...

    Text Solution

    |

  20. Four holes of radius R are cut from a thin square plate of side 4 R an...

    Text Solution

    |