Home
Class 11
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 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):

A

`3/4 L`

B

`1/4 L`

C

`k/L`

D

`(3k)/(L)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LINEAR MOMENTUM & ITS CONSERVATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance McQ|20 Videos

  • LINEAR MOMENTUM & ITS CONSERVATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise unsolved|110 Videos

  • LINEAR MOMENTUM & ITS CONSERVATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Conceptual MCQ s single option correct|30 Videos

  • KINEMATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Pro.|83 Videos

  • NEWTONS LAWS OF MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problem|81 Videos

Similar Questions

Explore conceptually related problems

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)

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.

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 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

Calculate Centre of mass of a non-uniform rod with linear mass density gamma lambda(mass//"length")=kx^2

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

PHYSICS GALAXY - ASHISH ARORA-LINEAR MOMENTUM & ITS CONSERVATION-Numerical MCQ s
  1. A ball of mass m is released from A inside a smooth wedge of mass m as...

    Text Solution

    |

  2. Two blocks m(1) and m(2) are pulled on a smooth horizontal surface, an...

    Text Solution

    |

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

    Text Solution

    |

  4. Two objects move in the same direction in a straight line. One moves w...

    Text Solution

    |

  5. Figure shows a boy on a horizontal platform A on a smooth horizontal s...

    Text Solution

    |

  6. A wind - powered generator convets and energy into electrical energy ...

    Text Solution

    |

  7. A ball falls vertically onto a floor with momentum p, and then bounces...

    Text Solution

    |

  8. A projectile of mass m is fired with a velocity v from point P at an a...

    Text Solution

    |

  9. Two balls of equal mass have a head-on collision with speed 6 m//s. If...

    Text Solution

    |

  10. An alpha particle collides elastically with a stationary nucleus and c...

    Text Solution

    |

  11. A uniform solid right circular cone of base radius R is joined to a un...

    Text Solution

    |

  12. A Sphere moving with velocity v strikes a wall moving towards the sphe...

    Text Solution

    |

  13. A projectile of mass 20 kg is fired with a velocity of 400m//sat an an...

    Text Solution

    |

  14. A ball falls vertically for 2 seconds and hits a plane inclined at 30^...

    Text Solution

    |

  15. Three boys are standing on a horizontal platform of mass 170kg as sho...

    Text Solution

    |

  16. A platform of infinite mass is moving upward with velocity 5 m//s. At ...

    Text Solution

    |

  17. A force exerts an impulse Ion a particle changing its speed from initi...

    Text Solution

    |

  18. What is the maximum off set that one can obtained by piling up three i...

    Text Solution

    |

  19. When the KE of a particle is increased by 300%, the momentum of the bo...

    Text Solution

    |

  20. Two astronauts, each of mass 75kg are floating next to each other in s...

    Text Solution

    |