Home
Class 11
PHYSICS
A frictionless wire is fixed between A a...


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`.

Text Solution

Verified by Experts

`S=(1/2)at^(2)`
i.e.`AB=1/2(gcosalpha)t^(2)`..........(1)
From diagram `AB=2R cos alpha`…(2)
From eq (1) and eq(2) `t=2sqrt(R/g)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    NARAYNA|Exercise C.U.Q|36 Videos

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-I(C.W)|43 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Level 2 H.W|29 Videos

Similar Questions

Explore conceptually related problems

A friction wire AB is fixed on a sphere of radius R. A very small spherical ball slips on this wire. The time taken by the ball to slip from A to B.

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 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 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 thin insulating wire is stretched·along the diameter of an. insulated circular hoop of radius R. A small bead of mass m and charge-q is threaded onto the wire. Two small identical charges are tied to the hoop at points opposite to each other, so that the diameter passing through them is perpendicular to the thread as shown in figure. The bead is released at a point which.is located at a distance x_(0) from the centre of the hoop. Assume that x_(0) lt lt R . (a) What is the resultant force acting on the charged bead? (b) Describe the motion of the bead after it is released X (c) Use the assumption that (x)/(R) lt lt 1 to obtain an approximate equation of motion, and find the displacement and velocity of the bead as functions of time (d) When will the velocity of the bead will bcome zero for the first time?

A bead of mass m slides down a frictionless thin fixed wire held on the vertical plane and then performs small oscillations at the lowest point O of the wire. The wire takes the shape of a parabola near O and potential energy is given by U (x)= cx^(2) , where c is a constant. The period of the small oscillations will be :

A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from A to B, the force it applies on the wire is

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 :-

NARAYNA-MOTION IN A PLANE-Level-II(H.W)
  1. A frictionless wire is fixed between A and B inside a circle of radius...

    Text Solution

    |

  2. The greatest and least resultant of two forces are 7N and 3N respectiv...

    Text Solution

    |

  3. In an equilateral triangle ABC, AL, BM, and CN are medians. Forces alo...

    Text Solution

    |

  4. Given that vecA+vecB+vecC=0, out of three vectors two are equal in mag...

    Text Solution

    |

  5. A and B are two pegs separated by 13 cm.A body of 169 kgwt is suspende...

    Text Solution

    |

  6. Two particles having position vectors vecr(1)=(3veci+5 vecj)m and vec...

    Text Solution

    |

  7. A body is projected up such that its position vector varies with time ...

    Text Solution

    |

  8. The position of a particle is given by vecr=3tveci-2t^(2)hatj+4hatk m ...

    Text Solution

    |

  9. A particle starts from origin at t=0 with a constant velocity 5hati m/...

    Text Solution

    |

  10. When two bodies approach each other with the different speeds, the dis...

    Text Solution

    |

  11. An aeroplane is flying with the velocity of V(1)=800kmph relative to t...

    Text Solution

    |

  12. A boat takes 4 hr upstream and 2 hr down the stream for covering the s...

    Text Solution

    |

  13. The width of a river is 2sqrt3km.A boat is rowed in direction perpendi...

    Text Solution

    |

  14. Person aiming to reach the exactly opposite point on the bank of a str...

    Text Solution

    |

  15. A particle projected from the level ground just clears in its ascent a...

    Text Solution

    |

  16. A stone is projected with a velocity 20sqrt2 m//s at an angle of 45^(@...

    Text Solution

    |

  17. A ball is thrown with velocity 8 ms^(-1) making an angle 60^(@) with t...

    Text Solution

    |

  18. The range of a projectile launched at an angle of 15^(@) with horizont...

    Text Solution

    |

  19. A body is projected obliquely from the ground such that its horizontal...

    Text Solution

    |

  20. A projectile is thrown at angle beta with vertical.It reaches a maximu...

    Text Solution

    |

  21. The maximum height attained by a projectile is increased by 5%. Keepin...

    Text Solution

    |