Home
Class 12
PHYSICS
A small sphere is given vertical velocit...

A small sphere is given vertical velocity of magnitude `v_0=5ms^-1` and it swings in a vertical plane about the end of a massless string. The angle `theta` with the vertical at which string will break, knowing that it can withstand a maximum tension equal to twice the weight of the sphere, is

A

`cos^(-1) (2/3)`

B

`cos^(-1)(1/4)`

C

`60^@`

D

`30^@`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA NEET SET 55

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos
  • NTA NEET SET 57

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

The sphere at A is given a downward velocity v_(0) of magnitude 5m//s and swings in a vertical plane at the end of a rope of length l=2m attached to a support at O . Determine the angle theta at which the rope will breack, knowing that it can withstant a maximum tension equal to twich the weight of the sphere.

The sphere at P is given a down ward velocity v_(0) and swings in a vertical plane at the end of a rope of l = 1m attached to a support at O . The rope breaks at angle 30^@ from horizontal, knowing that it can withstand a maximum tension equal to four times the weight of the sphere. then the value of v_(0) will be (g = 10 m//s^(2)) . .

The sphere at P is given a downward velocity v_(0) and swings in a vertical plane at the end of a rope of l=1m attached to a support at O . The rope breaks at angle 30^(@) from horizontal , knowing that it can withstand a maximum tension equal to three times the weight of the sphere. Then the value of v_(0) will be : (g=pi ^(2) m//s^(2))

A 4 kg balls is swing in a vertical circle at the end of a cord 1 m long. The maximum speed at which it can swing if the cord can sustain maximum tension of 163.6 N will be

A stone is attached to one end of a string and rotated in a vertical circle . If the string breaks at the position of maximum tension , then it will break at

A bob tied to the end of a string of length 2m, other end of which is fixed at a point in a vertical wall at a point O. The bob is imparted a vertical downward velocity of 5 m//s when the string is horizontal and swings in a vertical plane. Find the angular displacement of the bob from its initial position, when the string breaks. Given that the tensile strength of the string is twice the weight of the bob. Take g=10 m//s^(2)

A small body tied to one end of the string is whirled in a vertical circle. Represent the forces on a diagram when the string makes an angle theta with initial position.

A body of mass 2 kg attached at one end of light string rotated along a vertical circle of radius 2 m . If the string can withstand a maximum tension of 140.6 N , the maximum speed with which the stone can be rotated is

A simple pendulum has a bob of mass m and swings with an angular amplitude phi . The tension in thread is T . At a certain time the string makes an angle theta with the vertical (theta le phi)

NTA MOCK TESTS-NTA NEET SET 56-PHYSICS
  1. An object of mass 5 kg and speed 10 ms^(-1) explodes into two pieces o...

    Text Solution

    |

  2. A particle strikes elastically with another particle with velocity V a...

    Text Solution

    |

  3. A small sphere is given vertical velocity of magnitude v0=5ms^-1 and i...

    Text Solution

    |

  4. The height above surface of earth where the value of gravitational acc...

    Text Solution

    |

  5. The orbital velocity of an artifical satellite in a circular orbit jus...

    Text Solution

    |

  6. For definite length of wire, if the weight used for applying tension i...

    Text Solution

    |

  7. A simple pendulum 4 m long swings with an amplitude of 0.2 m. What is ...

    Text Solution

    |

  8. The bulk modulus of water is 2.0xx10^(9) N//m^(2). The pressure requir...

    Text Solution

    |

  9. A mosquito with 8 legs stands on water surface and each leg makes depr...

    Text Solution

    |

  10. Three identical rods each of mass M, length l are joined to form an eq...

    Text Solution

    |

  11. A big particle of mass (3+m) kg blasts into 3 pieces , such that a par...

    Text Solution

    |

  12. An alpha particle of energy 5 MeV is scattered through 180^(@) by a fo...

    Text Solution

    |

  13. A hydrogen atom in ground state absorbs 10.2eV of energy .The orbital ...

    Text Solution

    |

  14. The activity of a radioactive element decreases to one third of the or...

    Text Solution

    |

  15. In photoelectric effect the slope of straight line graph between stopp...

    Text Solution

    |

  16. A photocell is illuminated by a small bright source placed 1m away. Wh...

    Text Solution

    |

  17. bar(A.barB+barA.B) is equivalent to

    Text Solution

    |

  18. In a transistor the base is made very thin and is lightly doped with a...

    Text Solution

    |

  19. The current gain for a transistor used in common - emitter configurati...

    Text Solution

    |

  20. The dispersive powers of flint glass and crown glass are 0.053 and 0.0...

    Text Solution

    |