Home
Class 11
PHYSICS
A particle of mass m is suspended by a s...

A particle of mass m is suspended by a string of length l from a fixed rigid support. Particle is imparted a horizontal velocity `u=sqrt(2gl)`. Find the angle made by the string with the vertical when the acceleration of the particle is inclined to the string by `45^(@)`?

Text Solution

Verified by Experts

The correct Answer is:
`tan^(-1) 2`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle of mass m is suspended by a string of length l from a fixed rigid support. A sufficient horizontal velocity =sqrt(3gl) is imparted to it suddenly. Calculate the angle made by the string with the vertical when the accekleration of the particle is inclined to the string by 45^(@) .

A particle of mass m suspended by a string of length l revolves in a horizontal circle such that theta is the angle which the string makes with vertical. Which of the following statement (s) is/are correct ?

A particle is suspended by a light vertical inelastic string of length 1 from a fixed support. At its equilbrium position it is projected horizontally with a speed sqrt(6 g l) . Find the ratio of the tension in the string in its horizontal position to that in the string when the particle is vertically above the point of support.

A smalll bob attached to a string of length l is suspended from a rigid support and rotates with uniform speed along a circle in a horizontal plane. Let theta be the angle made by the string with the vertical, then the length of a simple pendulum having the same period is

A particle of mass m is attached to one end of a light inextensible string and the other end of the string is fixed in vertical plane as shown. Particle is given a horizontal velocity u = sqrt((5)/(2)gl) The tension in the string at an instant when acceleration of the particle is horizontal and sqrt(3)g is

A particle of mass m is suspended from a string of length l fixed to the point O. What velocity should be imparted to the particle in its lowermost position so that the string is just able to reach the horizontal diameter of the circle?

A particle of mass m suspended by a string of length l revolves in a horizontal circle ( theta is the angle the string makes with vertical). Which of the following statement(s) is // are correct?

A bob of mass m suspended by a light inextensible string of length 'l' from a fixed point. The bob is given a speed of sqrt(6gl) . Find the tension in the string when string deflects through an angle 120^@ from the vertical.

A body of mass sqrt3 kg is suspended by a string to rigid support.The body is pulled horizontally by a force F until the string makes an angle of 30^(@) with the vertical.The value of F and tension in the string are

ARIHANT-WORK, POWER AND ENERGY-All Questions
  1. (i) A simple pendulum consist of a small bob of mass m tied to a strin...

    Text Solution

    |

  2. AB is a mass less rigid rod of length 2l. It is free to rotate in vert...

    Text Solution

    |

  3. A particle of mass m is suspended by a string of length l from a fixed...

    Text Solution

    |

  4. A particle of mass m is moving in a circular path of constant radius r...

    Text Solution

    |

  5. A ball suspended by a thread swing in a vertical plane that its accel...

    Text Solution

    |

  6. A particle of mass m oscillates inside the smooth surface a fixed pipe...

    Text Solution

    |

  7. (i) There is a vertical loop of radius R. A small block of mass m is s...

    Text Solution

    |

  8. A completely filled cylinderical tank of height H contains water of ma...

    Text Solution

    |

  9. A uniform chain of mass m0 and length l rests on a rough incline with ...

    Text Solution

    |

  10. A large flat board is lying on a smooth ground. A disc of mass m = 2 k...

    Text Solution

    |

  11. A car can pull a trailer of twice its mass up a certain slope at a max...

    Text Solution

    |

  12. Force acting on a particle in a two dimensional XY space is given as v...

    Text Solution

    |

  13. In a two dimensional space the potential energy function for a conserv...

    Text Solution

    |

  14. A particle of mass m moves in xy plane such that its position vector, ...

    Text Solution

    |

  15. A block of mass 2 kg is connect to an ideal spring and the system is p...

    Text Solution

    |

  16. A body of mass m was slowly hauled up the hill (figure) by a force F w...

    Text Solution

    |

  17. In previous problem what is the work done by vec(F) if the body start...

    Text Solution

    |

  18. A block of mass M is placed on a horizontal smooth table. It is attach...

    Text Solution

    |

  19. A spring block system is placed on a rough horizontal floor. Force con...

    Text Solution

    |

  20. In the arrangement shown in the fig. string, springs and the pulley ar...

    Text Solution

    |