Home
Class 12
PHYSICS
The centre of mass of a non uniform rod ...

The centre of mass of a non uniform rod of length L, whose mass per unit length varies as `rho=(k.x^2)/(L)` where k is a constant and x is the distance of any point from one end is (from the same end)

A

`(3L)/4`

B

`L/8`

C

`K/L`

D

`(3K)/L`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA NEET SET 93

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos
  • NTA NEET SET 95

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

The centre of mass of a, non uniform rod of length L whose mass per unit length p varies as p = (kx^(2))/(L) where k: is a constant and x is the distance of any point from one end, is (from the same end):

The centre of mass of a non uniform rod of length L whoose mass per unit length varies asp=kx^(2)//L , (where k is a constant and x is the distance measured form one end) is at the following distances from the same end

The centre of mass of a non uniform rod of length L whose mass per unit length lambda = K x^2 // L where K is a constant and x is the distance from one end is (A) (3L)/(4) (B) (L)/(8) (C) (K)/(L) (D) (3K)/(L)

The centre of mass of a non-uniform rod of length L whose mass per unit length lambda is proportional to x^2 , where x is distance from one end

The mass per unit length of a non- uniform rod OP of length L varies as m=k(x)/(L) where k is a constant and x is the distance of any point on the rod from end 0 .The distance of the centre of mass of the rod from end 0 is

Find coordinates of mass center of a non-uniform rod of length L whose linear mass density lambda varies as lambda=a+bx, where x is the distance from the lighter end.

The mass per unit length of a non - uniform rod of length L is given mu = lambda x^(2) , where lambda is a constant and x is distance from one end of the rod. The distance of the center of mas of rod from this end is

Find the MI of a rod about an axis through its centre of mass and perpendicular to the length whose linear density varies as lamda = ax where a is a constant and x is the position of an element of the rod relative to it's left end. The length of the rod l .

The mass per unit length of a non-uniform rod of length L is given by mu= lamdaxx2 ​, where lamda is a constant and x is distance from one end of the rod. The distance of the center of mass of rod from this end is :-

A rod of mass m and length L is non- uniform.The mass of rod per unit length (mu)], varies as "(mu)=bx" ,where b is a constant.The , centre of mass of the ,rod is given by

NTA MOCK TESTS-NTA NEET SET 94-PHYSICS
  1. Ionization potential of hydrogen atom is 13.6 V. Hydrogen atoms in the...

    Text Solution

    |

  2. The angular momentum of an electron in hydrogen atom is h/pi The kinet...

    Text Solution

    |

  3. The centre of mass of a non uniform rod of length L, whose mass per un...

    Text Solution

    |

  4. A body of mass m is moving with speed v makes a one-dimensional colli...

    Text Solution

    |

  5. A pendulum consisting of a small sphere of mass m, suspended by a ine...

    Text Solution

    |

  6. Two identcal magnetic dipole of magnetic moment 1.0 A-m^(2) each, plac...

    Text Solution

    |

  7. v22

    Text Solution

    |

  8. A galvanometer of resistance 50Omega is connected to a b attery of 3V ...

    Text Solution

    |

  9. A particle of mass m and charge Q is attached to a string of length l...

    Text Solution

    |

  10. In the given circuit switch K is open. The charge on the capacitor is...

    Text Solution

    |

  11. An ideal coil of 10H is connected in series with a resistance of 5(Ome...

    Text Solution

    |

  12. A metal rod of resistance 20 Omega is fixed along a diameter of a cond...

    Text Solution

    |

  13. The escape velocity from the earth is 11 km//s. The escape velocity fr...

    Text Solution

    |

  14. Two metallic balls of mass m are suspended by two strings of length L....

    Text Solution

    |

  15. Five rods of same dimensions are arranged as shown in the figure. They...

    Text Solution

    |

  16. P – V graph of an ideal gas is as shown in the diagram . Work done by ...

    Text Solution

    |

  17. An ideal gas (gamma = 1.5) is expanded adiabatically. How many times h...

    Text Solution

    |

  18. The quantity of a charge that will be transferred by a current flow of...

    Text Solution

    |

  19. A thin circular disk of radius R is uniformly charged with density sig...

    Text Solution

    |

  20. A juggler throws balls into air. He throws one when ever the previous ...

    Text Solution

    |