Home
Class 12
PHYSICS
Infinite rods of uniform mass density an...

Infinite rods of uniform mass density and length L,L/2,L/4….. Are placed one upon another upto infinite as shown in figure. Find the x-coordinate of centre of mass.

A

0

B

L/3

C

L/2

D

2L/3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A rod of length 2l is bent as shown in figure. Coordinates of centre of mass are

Two identical thin uniform rods of length L each are joined to form T shape as shown in the figure. The distance of centre of mass from D is

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

A thin uniform rod of length L is bent at its mid point as shown in the figure. The distance of the centre of mass from the point O is

Six rods of the same mass m and length ? are arranged as shown in figure. Calculate the coordinate of the centre of mass of the system:- У >X

Four identical rods of mass M and length L are placed on one another on the table so as to produce the maximum overhang as shown in figure. The maximum total overhang will be :

A rod length L and mass M is placed along the x -axis with one end at the origin, as shown in the figure above. The rod has linear mass density lamda=(2M)/(L^(2))x, where x is the distance from the origin. Which of the following gives the x -coordinate of the rod's center of mass?

A rod of mass m and length l is hinged at one of its ends A as shown in figure. A force F is applied at a distance x from A . The acceleration of centre of mass varies with x as -

ALLEN-TEST PAPER-Exercise (Physics)
  1. One end of a light spring of natural length 4m and spring constant 170...

    Text Solution

    |

  2. A particle of mass 1 kg moves in a circular path of radius 1 m such th...

    Text Solution

    |

  3. Infinite rods of uniform mass density and length L,L/2,L/4….. Are plac...

    Text Solution

    |

  4. A semicircular lamina of mass m and radius r and centre C. Its center ...

    Text Solution

    |

  5. The position vector of a particle in a circular motion about the origi...

    Text Solution

    |

  6. The maximum tension in the string of a pendulum is three times the min...

    Text Solution

    |

  7. A body of radius R and mass m is rolling smoothly with speed v on a ho...

    Text Solution

    |

  8. The figure shows a uniform rod lying along the x-axis. The locus of al...

    Text Solution

    |

  9. Same number of books are placed in four books cases as shown. Which lo...

    Text Solution

    |

  10. A hollow smooth uniform A of mass 'm' rolls without sliding on a smoot...

    Text Solution

    |

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

    Text Solution

    |

  12. A fixed pulley of radius 20 cm and moment of inertia 0.32 kg.m^(2) abo...

    Text Solution

    |

  13. Figures 1 and 2 below show a meter stick, haif of which is wood and ha...

    Text Solution

    |

  14. A sphere of mass M and radius r slips on a rough horizontal plane. At ...

    Text Solution

    |

  15. A 1 Kg solid sphere rolls without slipping on a rough horizontal sufac...

    Text Solution

    |

  16. Moment of inertia of a rigid body is expressed in units of kg m^(2). T...

    Text Solution

    |

  17. A mass m(1) moves with a great velocity. It strikes another mass m(2) ...

    Text Solution

    |

  18. N similar slabs of cubical shape of edge b are lying on ground. Densit...

    Text Solution

    |

  19. A ball collides elastically with a massive wall moving towards it with...

    Text Solution

    |

  20. A block of mass m=1/3 kg is kept on a rough horizontal plane. Friction...

    Text Solution

    |