Home
Class 11
PHYSICS
Two beads A and B move along a semicircu...

Two beads `A` and `B` move along a semicircular wire frame as shown in figure. The beads are connected by an inelastic string which always remains tight . At an instant the speed of `A` is `u,/_BAC = 45^(@) and BOC = 75^(@)`,where `O` is the centre of the semicircular arc. The speed of bead `B` at that instant is

A

`sqrt(2)u`

B

u

C

`(u)/(2sqrt(2))`

D

`sqrt((2)/(3)u)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) To remain the string tight, component of velocities along the line joining A and B should be same. ,brgt
`therefore u cos 45^(@)=v cos 60^(@) implies v=sqrt(2)u`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Match the columns|7 Videos

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Medical entrances gallery|39 Videos

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Check point 5.4|20 Videos

  • KINEMATICS 1

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|15 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|18 Videos

Similar Questions

Explore conceptually related problems

Two block A and B move along a semicircular wire frame as shown in figure. The beads are connected by an inelastic string wich always remains tight . At an instant the speed of A is u,/_BAC = 45^(@) and BOC = 75^(@) ,where O is the center of the semicircular are. The speed of bead B at that instant is

A rod AB is moving on a fixed circle of radius R with constant velocity 'v' as shown in figure. P is the point of intersection of the rod and the circle. At an instant the rod is at a distance x=(3R)/(5) from centre of the circle. The velocity of the rod is perpendicular to the rod and the rod is always parallel to the diameter CD . (a) Find the speed of point of intersection P (b) Find the angular speed of point of intersection P with respect to centre of the circle.

A rod AB is moving on a fixed circle of radius R with constant velocity v as shown in figure. P is the point of intersection of the rod and the circle. At an instant the rod is at a distance x=(3R)/(5) from centre of the circle. The velocity of the rod is perpendicular to the rod and the rod is always parallel to the diameter CD. (i) Find the speed of point of intersection P. (b) Find the angular speed of point of intersection P with respect to centre of the circle.

A fixed U -shaped smooth wire has a semi-circular bending between A and B as shown in the figure. A bead of mass 'm' moving with uniform speed v through the wire enters the semicircular bend at A and leaves at B . The magnitude of average force exerted by the bead on the part AB of the wire is

A meter stick AB of length 1 meter rests on a frictionless floor in horizontal position with end A attached to the string as shown. Assume that string connecting meter stick with pulley always remains vertical. If block 1 and 2 are given constant speeds as shown then the distance moved by end B over the floor in the period for which speed of B is less than A .

A meter stick AB of length 1 meter rests on a frictionless floor in horizontal position with end A attached to the string as shown. Assume that string connecting meter stick with pulley always remains vertical. If block 1 and 2 are given constant speeds as shown then the distance moved by end B over the floor in the period for which speed of B is less than A .

Two blocks A and B of masses m and 2m respectively are placed on a smooth floor. They are connected by a spring. A third block C of mass m moves with a velocity v_0 along the line joing A and B and collides elastically with A, as shown in figure. At a certain instant of time t_0 after collision, it is found that the instantaneous velocities of A and B are the same. Further, at this instant the compression of the spring is found to be x_0 . Determine (i) the common velocity of A and B at time t_0 , and (ii) the spring constant.

A U -shaped wire has a semicircular bending between A and B as shown in Fig. A bead of mass m moving with uniform speed v through a wire enters the semicircular bend at A and leaves at B with velocity v//2 after time T . The average force exerted by the bead on the part AB of the wire is

A U-shaped smooth wire has a semi-circular bending between A and B as shown in fig. A bead of mass m moving with uniform speed v through the wire enters the semiculcular bent at A and leaves at B. Find the average force exerted by the bead on the part AB of the wire.

A bead B of mass 'm' can travel without frictionn on a smooth horizontalwire "xx"^(') . The bead is connected to a block of identical mass by an ideal string passing over an ideal pulley. The system, as shown, is in vertical plane. The system is allowed to fall. Find the speed of block A at the instant when string connected to the bead B makes an angle 37^(@) with vertical.

DC PANDEY ENGLISH-LAWS OF MOTION-Chapter exercises (A) Taking it together
  1. Two masses m and M are attached with strings as shown. For the system ...

    Text Solution

    |

  2. A man has fallen into a ditch of width d and two of his friends are sl...

    Text Solution

    |

  3. Two beads A and B move along a semicircular wire frame as shown in fig...

    Text Solution

    |

  4. Two blocks of masses m and 2m are placed one over the other as shown i...

    Text Solution

    |

  5. If a body looses half of its velocity on penetrating 3 cm in a wooden ...

    Text Solution

    |

  6. A ball is moving towards the wall as shown in diagram then its momentu...

    Text Solution

    |

  7. Two weights w(1) and w(2) are suspended from the ends of a light strin...

    Text Solution

    |

  8. A dynamometer D is attached to two bodies of masses M=6 kg and m=4 kg....

    Text Solution

    |

  9. Two blocks are connected over a massless pulley as shown in figure. Th...

    Text Solution

    |

  10. A block of mass 5 kg resting on a horizontal surface is connected by a...

    Text Solution

    |

  11. A block of mass 3kg is at rest on a rough inclined plan as shown in th...

    Text Solution

    |

  12. Two block of masses M and m are connected to each other by a massless ...

    Text Solution

    |

  13. An insect crawls up a hemispherical surface very slowly. The coefficie...

    Text Solution

    |

  14. A block of mass m lying on a rough horizontal plane is acted upon by a...

    Text Solution

    |

  15. In the figure shown if coefficient of friction is mu, then m(2) will s...

    Text Solution

    |

  16. A block of mass M rests on a rough horizontal surface as shown. Coeffi...

    Text Solution

    |

  17. Two blocks A and B each of mass m are placed on a smooth horizontal su...

    Text Solution

    |

  18. A cube of mass m is placed on top of a wedge of mass 2m, as shown in f...

    Text Solution

    |

  19. If the coefficient of friction between all surface figure is 0.4 then...

    Text Solution

    |

  20. Block B moves to the right with a constant velocity v(0). The velocity...

    Text Solution

    |