Home
Class 12
PHYSICS
A bead slides on a frictoinless straingh...

A bead slides on a frictoinless strainght rod fixed between points `A` and `B` of a vertical circular loop of radius as shown in the figure. Line `BC` is a vertical diameter. Denoting acceleration due to gravity by `g`, which of the following is correct expression for the time taken by the bead to slide from `A` to `B`

A

`sqrt((4r)/(g))`

B

`sqrt((4r)/(gcostheta))`

C

`sqrt((4rtantheta)/(g))`

D

`sqrt((4rcottheta)/(g))`

Text Solution

Verified by Experts

The correct Answer is:
A

`a=gcostheta,L_(AB)=2rcostheta=(1)/(2)at^(2)rArrt=sqrt((4r)/(g))`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A frictionless wire is fixed between A and B inside a circle of radius R . A small bead slips along the wire. Find the time taken by the bead to slip from A to B .

A bead is free to slide down on a smooth wire rightly stretched between points A and B on a vertical circle of radius 10 m . Find the time taken by the bead to reach point B , if the bead slides from rest from the highest point A on the circle. .

A bead is free to slide down a smooth wire tightly stretched between points A and on a verticle circle of radius R. if the bead starts from rest at 'A', the highest point on the circle, its velocity when it arrives at B is :-

A small disc can slide in a circular path on a frictionless inclined plane inclined at an angle of 30^(@) with the help of a thread as shown. Mass of the disc is m and acceleration due to gravity is g . If the disc is released, when the thread is horizontal, expression for the tension in the thread at the lowest point is

A frictionless wire is fixed between A and B inside of a hollow sphere of radius R as shown. A beam slips along the wire starting from the rest at point A . The time taken by the beam to slip from A to B will be

A small bead of mass 'm' is threaded on a frictionless circulat wire of radius 'a' . The circule wire frame is rotated about its vertical diameter as shown. (assume acceleration due to grasvity is g) The angular speed required if the bead is to be made to move in a horizontal circle of radius (a sqrt(3))/(2) is :

A satellite of mass m is moving in a circular or orbit of radius R around the earth. The radius of the earth is r and the acceleration due to gravity at the surface of the earth is g. Obtain expressions for the following : (a) The acceleration due to gravity at a distance R from the centre of the earth (b) The linear speed of the satellite (c ) The time period of the satellite

A section of fixed smooth circular track of radius R in vertical plane is shown in the figure. A block id released from position A and leaves the treack at B The radius of curvanture of its trajectory just after it leaves the track B is ?

A bead slides on a fixed frictionless wire bent into a horizontal semicircle of radius R_(0) as shown in figure. In addition to any normal forces exerted by the wire, the bead is subjected to an external force that points directly away from origin and depends on distance r from the origin according to the formula F=F_(0)((r )/(R_(0)))^(2)hat(r)

Figure shows a smooth vertical circular track AB of radius R. A block slides along the surface AB when it is given a velocity equal to sqrt(6gR) at point A. The ratio of the force exerted by the track on the block at point A to that at point B is

ALLEN-TEST PAPER-Exercise (Physics)
  1. If system is in equilibrium then find relation between m(1) and m(2)

    Text Solution

    |

  2. The childern are trying to shoot a marble into a marble into a small b...

    Text Solution

    |

  3. A bead slides on a frictoinless strainght rod fixed between points A a...

    Text Solution

    |

  4. The hour hand of a clock is 6 cm long. The magnitude of the displaceme...

    Text Solution

    |

  5. A particle (bob) of mass 1 kg is performing vertical cicular motion. T...

    Text Solution

    |

  6. In case of an ideal spring, we take the reference point (where potenti...

    Text Solution

    |

  7. A machinist starts with three identical square plates but cuts one cor...

    Text Solution

    |

  8. A block of mass m lies on a horizontal frictionless surface and is att...

    Text Solution

    |

  9. Two pucks are initially moving along a frictionless surface as shown i...

    Text Solution

    |

  10. Three particles A, B and C of equal mass move with equal speed V = 5 m...

    Text Solution

    |

  11. A canon shell moving along a straight line bursts into two parts. Just...

    Text Solution

    |

  12. Assertion :- velocity time graph of two paticles undergoing head-on co...

    Text Solution

    |

  13. Statement-1 : For any collision, coefficient of restitution (e lies b...

    Text Solution

    |

  14. Assertion :- To observe the motion of planets, the sun may be assumed ...

    Text Solution

    |

  15. Assertion :- The mechanical energy of earth-moon system remains same w...

    Text Solution

    |

  16. The average velocity of a particle moving on a straight line is zero i...

    Text Solution

    |

  17. The sum of kinetic and potential energies of a system of objects is co...

    Text Solution

    |

  18. Assertion :- Newton's first law defines inertial frame of reference. ...

    Text Solution

    |

  19. A man of mass 80kg pushes box of mass 20kg horizontally. The man moves...

    Text Solution

    |

  20. Assertion :- A particle has positive acceleration it means that its sp...

    Text Solution

    |