Home
Class 11
PHYSICS
A particle of mass M attached to an inex...

A particle of mass `M` attached to an inextensible strintg is moving in a vertical circle of radius `R`.about fixed point `O`. It is imparted a velocity `u` in horizontal directional at lowest position as shown in figure.
Following information is being given
(i) Velocity at a height `h` can be calculated by using formula `v^(2)=u^(2)-2gh`
(ii) Particle will complete the circle if `u ge sqrt(5gR)`
(iii) Particle will oscillates in lower half `(0^(@)ltthetale90^(@))` if `0ltu lesqrt(2gR)`
(iv) The magnitude of tension at a height `'h'` is calculated by using formula `T=M/R[u^(2)+[gR-3gh]]`

Tension at highest point of its trajectory in above question will be

A

100 N

B

44 N

C

144 N

D

264 N

Text Solution

Verified by Experts

The correct Answer is:
B

Put `h = 2R T = 144 N`.
Promotional Banner

Topper's Solved these Questions

  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level-VI (Integer)|12 Videos
  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level-VI (Multiple Answer)|11 Videos
  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE IV|43 Videos

Similar Questions

Explore conceptually related problems

A particle of mass M attached to an inextensible strintg is moving in a vertical circle of radius R .about fixed point O . It is imparted a velocity u in horizontal directional at lowest position as shown in figure. Following information is being given (i) Velocity at a height h can be calculated by using formula v^(2)=u^(2)-2gh (ii) Particle will complete the circle if u ge sqrt(5gR) (iii) Particle will oscillates in lower half (0^(@)ltthetale90^(@)) if 0ltu lesqrt(2gR) (iv) The magnitude of tension at a height 'h' is calculated by using formula T=M/R[u^(2)+[gR-3gh]] If M = 2kg, R = 2m and u = 10 m//s . Then velocity of particle when theta = 60^(@) is

A particle of mass M attached to an inextensible strintg is moving in a vertical circle of radius R .about fixed point O . It is imparted a velocity u in horizontal directional at lowest position as shown in figure. Following information is being given (i) Velocity at a height h can be calculated by using formula v^(2)=u^(2)-2gh (ii) Particle will complete the circle if u ge sqrt(5gR) (iii) Particle will oscillates in lower half (0^(@)ltthetale90^(@)) if 0ltu lesqrt(2gR) (iv) The magnitude of tension at a height 'h' is calculated by using formula T=M/R[u^(2)+[gR-3gh]] If R = 2m, M = 2 kg and u = 12 m//s . Then value of tension at lowest position is

A particle of mass m attached to an inextensible light string is moving in a vertical circle of radius r. The critical velocity at the highest point is v_( 0) to complete the vertical circle. The tension in the string when it becomes horizontal is

Find u_(min) so that particle will complete vertical circle

A particle is projected with velocity "u" in horizontal direction as shown in the figure. Find u if particle collides perpendicularly with inclined plane. h

A particle is projected with velocity "u" in horizontal direction as shown in the figure. Find u if particle collides perpendicularly with inclined plane. u

A particle of mass m is being circulated on a vertical circle of radius r. If the speed of particle at the highest point be v, then

A point mass m is moved in vertical circle of radius r with help of string. Velocity of mass is root(7gr) at lowest point. Tension in string at lowest point is

The velocity of a body of mass m revolving in a vertical circle of radius R at the lowest point 2sqrt2gR . The minimum tension in the string will be

NARAYNA-WORK POWER AND ENERGY-Level-VI (Comprehension)
  1. The potential energy U(in J) of a particle is given by (ax + by), wher...

    Text Solution

    |

  2. The potential energy U(in J) of a particle is given by (ax + by), wher...

    Text Solution

    |

  3. The potential energy U(in J) of a particle is given by (ax + by), wher...

    Text Solution

    |

  4. The potential energy U(in J) of a particle is given by (ax + by), wher...

    Text Solution

    |

  5. A block of mass m sits at rest on a frictionless table in a rail car t...

    Text Solution

    |

  6. A block of mass m sits at rest on a frictionless table in a rail car t...

    Text Solution

    |

  7. A block of mass m sits at rest on a frictionless table in a rail car t...

    Text Solution

    |

  8. A block of mass m sits at rest on a frictionless table in a rail car t...

    Text Solution

    |

  9. A block of mass m sits at rest on a frictionless table in a rail car t...

    Text Solution

    |

  10. A block of mass m sits at rest on a frictionless table in a rail car t...

    Text Solution

    |

  11. In the figure the variation of potential energy of a particle of mass...

    Text Solution

    |

  12. In the figure the variation of potential energy of a particle of mass...

    Text Solution

    |

  13. Rod AO(3) of length L can rotate abput A. Initially rod was at positio...

    Text Solution

    |

  14. Rod AO(3) of length L can rotate abput A. Initially rod was at positio...

    Text Solution

    |

  15. A particle of mass M attached to an inextensible strintg is moving in ...

    Text Solution

    |

  16. A particle of mass M attached to an inextensible strintg is moving in ...

    Text Solution

    |

  17. A particle of mass M attached to an inextensible strintg is moving in ...

    Text Solution

    |

  18. A bead of mass m is threaded on a smooth circular wire centre O, radiu...

    Text Solution

    |

  19. A bead of mass m is threaded on a smooth circular wire centre O, radiu...

    Text Solution

    |

  20. A bead of mass m is threaded on a smooth circular wire centre O, radiu...

    Text Solution

    |