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

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

A

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

B

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

C

`(2AL+2BL^(2))/(4(2A-BL))`

D

`(2AL-2BL^(2))/(4(2A-BL))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise Exercise-II|109 Videos

  • SURFACE TENSION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS )|8 Videos

  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) PRACTICE SHEET (ADVANCED) Integer/Subjective Type Questions|2 Videos
AAKASH SERIES-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-PRACTICE EXERCISE
  1. Two solids spheres of diameter d(1) and d(2) having material densities...

    Text Solution

    |

  2. A system of two particles is having masses m(1) and m(2). If the parti...

    Text Solution

    |

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

    Text Solution

    |

  4. Two bodies of masses m(1) and m(2) are moving with velocity v(1) and v...

    Text Solution

    |

  5. The centre of mass coordinates of a block of shape shown in fig. is

    Text Solution

    |

  6. (i+i)×(i-j)=

    Text Solution

    |

  7. The radius vector vecr =2i+5k and the angular velocity of a particle i...

    Text Solution

    |

  8. If the dot product of two vectors is equal to the magnitude of the cro...

    Text Solution

    |

  9. If F = 2i+ 3j - k and r = i- j + 6k find rx F

    Text Solution

    |

  10. Area of a parallelogram formed by vectors (3hati-2hatj+hatk)m and (hat...

    Text Solution

    |

  11. Find the values of x and y for which vectors vecA=6hati+xhatj-2hatk an...

    Text Solution

    |

  12. If a,b are the magnitudes of vectors veca & vecb and veca.vecb=0 the v...

    Text Solution

    |

  13. |AxxB|^(2)+(A.B)^(2) is equal to

    Text Solution

    |

  14. If vecP=i+j+2k and vecQ=3i-2j+k, the unit vector perpendicular to both...

    Text Solution

    |

  15. Two sides of a triangle are given by hati+hatj+hatk and -hati+2hatj+3h...

    Text Solution

    |

  16. Two small spheres of mass 5kg and 15kg are joined by a rod of length ...

    Text Solution

    |

  17. Moment of inertia of a hoop suspended from a peg about the peg is

    Text Solution

    |

  18. Three point masses 3kg, 2kg and 1kg are placed at A,B,C of a triangle....

    Text Solution

    |

  19. The M.I of a uniform thin circular ring about an axis through its cent...

    Text Solution

    |

  20. Ratio of densities of materials of two circular discs of same mass and...

    Text Solution

    |