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` whoose mass per unit length varies as `p=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

A

`3L//4`

B

`L//4`

C

`2L//3`

D

`L//3`

Text Solution

Verified by Experts

The correct Answer is:
A

Ans. (1)
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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 linear density of a non - uniform rod of length 2m is given by lamda(x)=a(1+bx^(2)) where a and b are constants and 0lt=xlt=2 . The centre of mass of the rod will be at. X=

The density of a non-uniform rod of length 1 m is given by rho(x)=a(1+bx^(2)) where, a and b are constants and 0lexle1 . The centre of mass of the rod will be at ………..

A uniform thin rod AB of length L has linear mass density mu(x) = a + (bx)/(L) , where x is measured from A. If the CM of the rod lies at a distance of ((7)/(12)L) from A, then a and b are related as :_

Find the potential energy of the gravitational interation of a point mass of mass m and a thin uniform rod of mass M and length l, if they are located along a straight line such that the point mass is at a distance 'a' from one end. Also find the force of their interaction.

Find the moment of inertia and radius of gyration of uniform cross-section rod of mass M and length l about an axis through a point at distance (l)/(3) from one end and perpendicular to the length of rod.

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 area of cross-section of rod is given by A= A_(0) (1+alphax) where A_(0) & alpha are constant and x is the distance from one end. If the thermal conductivity of the material is K . What is the thermal resistancy of the rod if its length is l_(0) ?

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

A man of mass m stands at the left end of a uniform plank of length L and mass M, which lies on a frictionaless surface of ice. If the man walks to the other end of the plank, then by what distance does the plank slide on the ice?

ALLEN -TEST PAPER-Exercise (Physics)
  1. Five uniform circular plates, each of diameter b and mass m are laid o...

    Text Solution

    |

  2. In the figure, the L-shaped shaded piece is cut from a metal plate of ...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the center of mass(x,y,z) of the following structure of four iden...

    Text Solution

    |

  5. A thick uniform wire is bent into the shape of the letter "U" as shown...

    Text Solution

    |

  6. In the given figure four rods AB,BC,CD and DA have mass m, 2m, 3m and ...

    Text Solution

    |

  7. A uniformly thick plate in the shape of an arrow head has dimensions a...

    Text Solution

    |

  8. An object comprises of a uniform ring of radius R and its uniform chor...

    Text Solution

    |

  9. In a head on collision between two identical particles A and B moving ...

    Text Solution

    |

  10. A machine gun fires 10 bullets per second in horizontal direction. Mas...

    Text Solution

    |

  11. Ball A of mass 1kg moving right with speed 2m//s bounces off ball B o...

    Text Solution

    |

  12. A cricket ball of mass 160g is moving horizontally directly towards a ...

    Text Solution

    |

  13. A particle of mass 4 m which is at rest explodes into masses m, m & 2m...

    Text Solution

    |

  14. Two girls of equal mass m jump off from the border line of a stationar...

    Text Solution

    |

  15. Two identical ball bearings in contact with each other and resting on ...

    Text Solution

    |

  16. Three different projectiles, each with the same mass, are fired with s...

    Text Solution

    |

  17. Three bodies are moving as shown below. The total kinetic energy of th...

    Text Solution

    |

  18. Two particles are projected at the same instant with speeds v(1) and v...

    Text Solution

    |

  19. Two particles of equal masses moving with same collide perfectly inela...

    Text Solution

    |

  20. The linear density of a non-uniform rod of length 2m is given by lamda...

    Text Solution

    |