Home
Class 11
PHYSICS
A long steel wire of length 'L' is suspe...

A long steel wire of length 'L' is suspended from the ceiling of a room. A sphere of mass 'm' and radius 'r' is attached to the lower end of the wire. The height of the ceiling is `(L+2r^1 +1)` . When the sphere is made to oscillate as a pendulum, its lowest point just touches the floor. The velocity of the sphere at the lowest point will be (L > > `r^1` , 1 and r is the radius of the wire)

A

`sqrt((pi r^2 ye)/(m) - Lg)`

B

`sqrt((pir^2y)/(me) - Lg)`

C

`sqrt((ypi r^2 e)/(m))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH SERIES|Exercise EXERCISE - 2 (STRAIN ENERGY )|16 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH SERIES|Exercise EXERCISE-3|43 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise Practice Exercise|84 Videos

Similar Questions

Explore conceptually related problems

The moment of inertia of a solid sphere of mass M and radius R about the tangent is

A sphere of mass 2 kg and diameter 4.5 cm is attached to the lower and of a steel wire of 2 m length and are of cross- section 0.24 xx 10^(-6)m^2 . The wire is suspended from 205 cm high ceilling of a room. When the system is made to oscillate as a simple pendulum, the sphere just grazes the floor at its lowest psition. The velocity of the sphere at the lowest position is (young's modulus of steel =2xx 10^(11) Nm^(-2) and acceleraiton due to gravity =10 ms^(-2))

A sphere of radius 0.1 m and mass 8pi kg is attached to the lower end of a steel wire of length 5.0 m and diameter 10^(-3) m. The wire is suspended from 5.22 m high ceiling of a room. When the sphere is made to swing as a simple pendulum, it just grazes the floor at its lowest point. Calculate the velocity of the sphere at the lowest position. Y for steel =1.994xx10^(11)N//m^(2) .

AAKASH SERIES-MECHANICAL PROPERTIES OF SOLIDS-EXERCISE - 3
  1. A metal cube of side length 8.0cm has its upper surface displaced with...

    Text Solution

    |

  2. A metal rope of density 6000kgm^(-3) has breaking stress 9.8xx10^8 Nm...

    Text Solution

    |

  3. A long steel wire of length 'L' is suspended from the ceiling of a roo...

    Text Solution

    |

  4. A 2 m long rod of radius 1 cm which is fixed from one end is given a t...

    Text Solution

    |

  5. A steel wire of mass 3.16Kg is stretched to a tensile strain of 1xx10^...

    Text Solution

    |

  6. One end of a long metallic wire of length L, area of cross-section A a...

    Text Solution

    |

  7. On loading a metal wire of cross section 10^(-6) m^2 and length 2m by ...

    Text Solution

    |

  8. A uniform slender rod of length L, cross - sectional area A and young...

    Text Solution

    |

  9. A tension of 22N is applied to copper wire of crosssectional area 0.02...

    Text Solution

    |

  10. Two wires of diameter 0.25 cm, one made of steel and the other made of...

    Text Solution

    |

  11. The bar is subjected to equal and opposite forces as shown in the figu...

    Text Solution

    |

  12. Two cylinders A and B of the same materials have same length. Their ra...

    Text Solution

    |

  13. The potential energy U between the two molecules as a function of the ...

    Text Solution

    |

  14. One end of a horizontal thick copper wire of length 2L and radius 2R i...

    Text Solution

    |

  15. Force constants of two wires A and B of the same material are k and 2k...

    Text Solution

    |

  16. Two block of masses 1 kg 2 are connected by a metal wire going over a ...

    Text Solution

    |

  17. What is the density of lead under a pressure of 2 xx 10^8Nm^(-2) , if ...

    Text Solution

    |

  18. Each of three blocks shown in figure has a mass 3kg. The wire connecti...

    Text Solution

    |

  19. A tension of 20 N is applied to a copper wire of cross sectional area ...

    Text Solution

    |

  20. A uniform rectangular block of mass 50 kg is hung horizontally with th...

    Text Solution

    |