Home
Class 11
PHYSICS
The density of a linear rod of length L ...

The density of a linear rod of length L varies as `rho=A+Bx` where x is the distance from the left end. Locate the centre of mass.

A

`(2AL+3BL^(2))/(3(2A+BL))`

B

`(AL+3BL^(2))/((2A+BL))`

C

`(3AL+2BL^(2))/((2A+BL))`

D

`(3AL+2BL^(2))/(3(2A+BL))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • IMPULSE AND MOMENTUM

    ANURAG MISHRA|Exercise L-2|21 Videos
  • IMPULSE AND MOMENTUM

    ANURAG MISHRA|Exercise L-3,(P-1)|5 Videos
  • IMPULSE AND MOMENTUM

    ANURAG MISHRA|Exercise Example|50 Videos
  • FORCE ANALYSIS

    ANURAG MISHRA|Exercise Matching type|13 Videos
  • RIGID BODY MOTION

    ANURAG MISHRA|Exercise MATCH THE COLUMN|12 Videos

Similar Questions

Explore conceptually related problems

The density of a linear rod of length L varies as rho=A+Bx where x is the distance from theleft end. Locate the centre of mass.

The linear density of a thin rod of length 1m lies as lambda = (1+2x) , where x is the distance from its one end. Find the distance of its center of mass from this end.

If the linear density of a rod of length L varies as lambda = A+Bx , find the position of its centre of mass .

The density of a thin rod of length l varies with the distance x from one end as rho=rho_0(x^2)/(l^2) . Find the position of centre of mass of rod.

If the linear density (mass per unit length) of a rod of length 3 m is proportional to x , where x , where x is the distance from one end of the rod, the distance of the centre of gravity of the rod from this end is.

If linear density of a rod of length 3m varies as lambda = 2 + x, them the position of the centre of gravity of the rod is

If linear density of a rod of length 3m varies as lamda=2+x , then the position of the centre of mass of the rod is P/7m . Find the value of P.

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.

A rod of length L is of non uniform cross-section. Its mass per unit length varies linearly with distance from left end. Then its centre of mass from left end is at a distance. (Take linear density at left end=0).

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

ANURAG MISHRA-IMPULSE AND MOMENTUM-Level 1
  1. A gun is mounted on a railroad car. The mass of the car, the gun, the ...

    Text Solution

    |

  2. A man of mass 60 kg can throw a stone of mass 1 kg up to a height 5 m....

    Text Solution

    |

  3. The density of a linear rod of length L varies as rho=A+Bx where x is ...

    Text Solution

    |

  4. Three identical balls are connected by light inextensible strings with...

    Text Solution

    |

  5. In above question 60 the velocity with which A colliides with C is :

    Text Solution

    |

  6. A box is put on a scale which is adusted to read zero when box is empt...

    Text Solution

    |

  7. Initially spring is at it's natural length and collision is elastic. T...

    Text Solution

    |

  8. When a block is placed on a wedge as shown in figure, the block starts...

    Text Solution

    |

  9. Four identical rods of mass M and length L are placed on one another o...

    Text Solution

    |

  10. A 20 g bullet pierces through a plate of mass M(1) = 1 kg and then com...

    Text Solution

    |

  11. Two particles of masses m(1) and m(2) in projectile motion have veloci...

    Text Solution

    |

  12. A small disc of mass m slides down a smooth hill of height h without i...

    Text Solution

    |

  13. In the figure one fourth part of a uniform disc of radius R is shown. ...

    Text Solution

    |

  14. In the figure shown a hole of radius 2 cm is made in a semicircular di...

    Text Solution

    |

  15. When the momentum of a body increases by 100%, its K.E. increases by :

    Text Solution

    |

  16. A small sphere is moving at a constant speed in a vertical circle. Bel...

    Text Solution

    |

  17. From a uniform disc of radius R, an equilateral triangle of side sqrt(...

    Text Solution

    |

  18. A truck moving on horizontal road towards east with velocity 20ms^(1) ...

    Text Solution

    |

  19. From a circle of radius a, an isosceles right angles triangle with the...

    Text Solution

    |

  20. A particle of mass 4m is projected from the ground at some angle with ...

    Text Solution

    |