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

`(Ml^(2))/18`

B

`(Ml^(2))/12`

C

`(Ml^(2))/6`

D

`(Ml^(2))/4`

Text Solution

Verified by Experts

The correct Answer is:
B
Moment of inertia of `ABC` about `Ac=1/2xx` moment of inertia of square sheet `ABCD` about `AC=1/2x[2M]xl^(2)/12=(Ml^(2))/12`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Multiple Correct|9 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Linked Comprehension|28 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Subjective|13 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|2 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Interger|2 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

CENGAGE PHYSICS-RIGID BODY DYNAMICS 1-Single Correct
  1. Figure shows a uniform solid block of mass M and edge lengths a, b and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. A disc of radius R rolls without slipping at speed v along positive x-...

    Text Solution

    |

  6. A disc of radius R rolls on a horizontal ground with linear accelerati...

    Text Solution

    |

  7. A uniform disc of mass M and radius R is mounted on an axle supported ...

    Text Solution

    |

  8. Two rings of same radius and mass are placed such that their centres a...

    Text Solution

    |

  9. The moment of inertia of a solid sphere about an axis passing through ...

    Text Solution

    |

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

    Text Solution

    |

  11. A uniform rod of length L and mass M is pivoted freely at one end and ...

    Text Solution

    |

  12. In Fig, the bar is uniform and weighing 500 N. How large must W be if ...

    Text Solution

    |

  13. In an experiment with a beam balance, an unknown mass m is balanced by...

    Text Solution

    |

  14. A sphere is moving towards the positive x-axis with a velocity v(c) an...

    Text Solution

    |

  15. A cylinder of height H and diameter H//4 is kept on a frictional turnt...

    Text Solution

    |

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

    Text Solution

    |

  17. Three point masses m(1), m(2) and m(3) are located at the vertices of ...

    Text Solution

    |

  18. The pulleys in figure are identical, each having a radius R and moment...

    Text Solution

    |

  19. A uniform cube of side a and mass m rests on a rough horizontal table....

    Text Solution

    |

  20. A ladder of length l and mass m is placed against a smooth vertical wa...

    Text Solution

    |