Home
Class 12
PHYSICS
A particle of mass m suspended by a stri...

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

Tension in string `= mg cos theta`

B

Speed v of particle `= sqrt((lg sin^(2)theta)/(cos theta))`

C

Time period of revolution `= 2pi sqrt((l cos theta)/(g))`

D

Centripetal acceleration `= g tan theta`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D

(i) `F cos theta = mg`
(ii)
`F sin theta = (mv^(2))/(L sin theta)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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 particle of mass m is tied to a string of length L and whirled into a horizontal plan. If tension in the string is T then the speed of the particle will be :

An object of mass M is tied to a string of l and revolve in a horizontal circle .If length is reduced by l//2 , then period is

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^(@) ?

A paricle of mass m is tied to a light string of length L and moving in a horizontal circle of radius r with speed v as shown. The forces acting on the particle are

A rod of mass m is released on smooth horizontal surface making angle theta with horizontal. Then which of the following statement is correct ?

A heavy small sized sphere is suspended by a string of length l . The sphere rotates uniformly in a horizontal circle with the string making an angle theta with the vertical. Then the time period of this conical pendulum is-

A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that r =L/(sqrt2) . The speed of particle will be :

A heavy & big sphere is hang with a string of length l. This sphere move in a horizontal circular path making an angle theta with vertical then its time period is

BANSAL-TEST PAPERS-PHYSICS PART (A)
  1. A particle has initial velocity 12 m//s. It moves due to a constant fo...

    Text Solution

    |

  2. The displacement (x) of particle depends on time (t) as x = alpha t^...

    Text Solution

    |

  3. The trajectory of a projectile is given by y=x tantheta-(1)/(2)(gx^(2)...

    Text Solution

    |

  4. The trajectory of a projectile is given by y=x tantheta-(1)/(2)(gx^(2)...

    Text Solution

    |

  5. A student tries to raise a chain consisting of three identical links. ...

    Text Solution

    |

  6. A student tries to raise a chain consisting of three identical links. ...

    Text Solution

    |

  7. A boat B is moving in upstream with velocity 3 m//s with respect to gr...

    Text Solution

    |

  8. The displacement x of a particle varies with time according to the rel...

    Text Solution

    |

  9. The figure shows a smooth fixed wedge on which a block of mass m is ke...

    Text Solution

    |

  10. if vec(P) xx vec(R ) = vec(Q) xx vec(R ), then

    Text Solution

    |

  11. A boy in a open trucj throws a ball at 40 m//s at angle 60^(@) form ho...

    Text Solution

    |

  12. If a particle is moving along a straight line and following is the gra...

    Text Solution

    |

  13. In the arrangement shown, the pulleys are massless and frictionless. T...

    Text Solution

    |

  14. A block can slides down an inclined plane of slope and theta, with co...

    Text Solution

    |

  15. A particle is projected in air with an initial velocity u directed at ...

    Text Solution

    |

  16. A particle of mass m suspended by a string of length l revolves in a h...

    Text Solution

    |

  17. A block B starts sliding down from the point A on a rough wedge. The a...

    Text Solution

    |

  18. A block B starts sliding down from the point A on a rough wedge. The a...

    Text Solution

    |

  19. A particle starts moving at t = 0 in a circle of radius R = 2m with co...

    Text Solution

    |

  20. A particle starts moving at t = 0 in a circle of radius R = 2m with co...

    Text Solution

    |