Home
Class 12
PHYSICS
A rod length L has non-uniform linear ma...

A rod length L has non-uniform linear mass density given by `rho(x)=a+b((X)/(L))^(2)` where a and b are constant and `0lexleL.` The value of x for the centre of mass of the rod is at :

A

`(3l)/4((3a+b)/(2a+b))`

B

`(3l)/4((2a+b)/(3a+b))`

C

`(l)/4((2a+b)/(3a+b))`

D

`l((2a+b)/(3a+b))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise Chemistry|1 Videos

Similar Questions

Explore conceptually related problems

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

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

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=

You are given a rod of length L. The linear mass density is lambda such that lambda=a+bx . Here a and b are constants and the mass of the rod increases as x decreases. Find the mass of the 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 thin rod of length L is lying along the x-axis with its ends at x=0 and x=L its linear (mass/length) varies with x as k(x/L)^n , where n can be zero of any positive number. If to position x_(CM) of the centre of mass of the rod is plotted against 'n', which of the following graphs best apporximates the dependence of x_(CM) on n?

A rod hanging from ceiling has linear density given as lambda=m_0(1+x) kg/m, where m_0 is constant and x is distance of a point from free end . if the length of the rod is 4m then velocity of wave at x=1m is

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 :_

A rod of length L is placed along the x-axis between x=0 and x=L . The linear mass density (mass/length) rho of the rod varies with the distance x from the origin as rho=a+bx . Here, a and b are constants. Find the position of centre of mass of this rod.

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).

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-All Questions
  1. The energy required to ionise a hydrogen like ion in its ground state ...

    Text Solution

    |

  2. Two planets of masses M and M/2 have radii R and R/2 respectively. If...

    Text Solution

    |

  3. A rod length L has non-uniform linear mass density given by rho(x)=a+b...

    Text Solution

    |

  4. If a point source is placed at a depth h in a liquid of refractive ind...

    Text Solution

    |

  5. System is released from rest. Moment of inertia of pulley 'I'. Find an...

    Text Solution

    |

  6. Find the current supplied by the battery ?

    Text Solution

    |

  7. In LC circuit the inducatance L = 40 mH and capacitance C=100 muF. IF ...

    Text Solution

    |

  8. A tightly-wound, long solenoid has n turns per unit length, a radius r...

    Text Solution

    |

  9. A Capacitor C and resister R are connected to a battery of 5V in serie...

    Text Solution

    |

  10. A small spherical droplet of density d is floating exactly half immers...

    Text Solution

    |

  11. A plane electromagnetic wave is propagagting along the direction (hati...

    Text Solution

    |

  12. Different value of a, b and c are given and their sum is d. Arrange th...

    Text Solution

    |

  13. Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (a...

    Text Solution

    |

  14. A particle starts from origin at t=0 with a constant velocity 5hatj m/...

    Text Solution

    |

  15. An electron (-|e|, m) is released in Electric field E from rest. rate ...

    Text Solution

    |

  16. In YDSE pattern with light of wavelength lambda1 = 500nm, 15 fringes a...

    Text Solution

    |

  17. If in a meter bridge experiment, the balancing length l was 25 cm for ...

    Text Solution

    |

  18. Find the power loss in each diode (in mW), if potential drop across th...

    Text Solution

    |

  19. An ideal gas at initial temperature 300 K is compressed adiabatically ...

    Text Solution

    |

  20. If electric field in the space is given by, vec E = 4x hati + (y^2+1)h...

    Text Solution

    |