Home
Class 12
PHYSICS
A thin wire of length l and mass m is be...

A thin wire of length l and mass m is bent in the form of a semicircle as shown in the figure. Its moment of inertia about an axis joining its free ends will be

A

`ml^(2)`

B

Zero

C

`(ml^(2))/(pi^(2))`

D

`(ml^(2))/(2pi^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (GRAVITATION)|25 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Properties of Matter & Fluid Mechanics)(Elasticity)|20 Videos
  • RACE

    ALLEN |Exercise Basic Maths (COLLISION AND CENTRE OF MASS )|12 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in the figure. The ratio of moment of inertia of the loop about x -axis to that about y -axis is

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.

A semicircular lamina of mass m and radius r and centre C . Its center of mass is at a distance x from C . Its moment of inertia about an axis through its center of mass and perpendicular to its plane is:

A wire having resistance 20 Omega is bent in the form of a circle as shown in the following figure: What will be the resistance between two end points A and B located on the diameter?

A thin rod of mass M and length L is bent in a semicircle as shown in figure (a). What is its gravitational force (both magnitude and direction) on a particle with mass m at O the centre of curvature ? (b) what would be the force on m if the rod is in the form of complete circle?

A uniform wire of length l is bent into the shape of 'V' as shown. The distance of its centre of mass from the vertex A is :-

A solid sphere of mass M and radius R has a moment of inertia about an axis tangent to its surface is given by formula …………..

Two uniform thin rods each of length L and mass m are joined as shown in the figure. Find the distance of centre of mass the system from point O

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is I_(0) . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is .............

A straight steel wire of length l has magnetic moment m. If the wire is bent in the form of a semicircle the new value of the magnetic dipole moment is ......... .

ALLEN -RACE-Basic Maths (ROTATIONAL MOTION)
  1. Four spheres of diameter 2a and mass M are placed with their centres o...

    Text Solution

    |

  2. Three rods each of mass m and length l are joined together to form an ...

    Text Solution

    |

  3. A thin wire of length l and mass m is bent in the form of a semicircle...

    Text Solution

    |

  4. A disc of mass m and radius r is free to rotate about its centre as sh...

    Text Solution

    |

  5. A particle of mass m is projected with speed u at an angle theta with ...

    Text Solution

    |

  6. A cubical block of mass m and edge a slides down a rough inclned plane...

    Text Solution

    |

  7. The torque of force vecF=-2hati+2hatj+3hatk acting on a point vecr=hat...

    Text Solution

    |

  8. torque of a force of megnitude 20 N acting along positive x direction ...

    Text Solution

    |

  9. A disc is rotating with angular velocity omega. A force F acts at a po...

    Text Solution

    |

  10. When a torque acting upon a system is zero, which of the following wil...

    Text Solution

    |

  11. The thin rod shown below has mases M and length L. A force F acts at o...

    Text Solution

    |

  12. Two equal and opposite forces are allplied tangentially to a uniform d...

    Text Solution

    |

  13. A wheel having moment of inertia 4 kg m^(2) about its axis, rotates at...

    Text Solution

    |

  14. For equilibrium of the system, value of mass m should be :-

    Text Solution

    |

  15. Figure shows a rigid rod of length 1.0 m. It is pivoted at O. For what...

    Text Solution

    |

  16. A particle is moving along a straight line parallel to x-axis with con...

    Text Solution

    |

  17. A simple pendulum of mass m and length L is held in horizontal positio...

    Text Solution

    |

  18. A particle is rotating in circle with uniform speed . The angular mome...

    Text Solution

    |

  19. A particle of mass m is moving with constant speed v on the line y=b i...

    Text Solution

    |

  20. A particle is moving along a straight line with increasing speed. Its ...

    Text Solution

    |