Home
Class 11
PHYSICS
A frictionless track ABCDE ends in a cir...

A frictionless track ABCDE ends in a circular loop of radius R. A body slides down the track from point A which is at height h = 5cm. Maximum value of R for a body to complete the loop successfully is

A

2 cm

B

`(10)/(3)`cm

C

`(15)/(4)`cm

D

`(18)/(3)`cm

Text Solution

Verified by Experts

The correct Answer is:
A
To complete the loop successfully `sqrt(2gh)=sqrt(5gR)`
`therefore" "R=(2h)/(5)=(2xx5)/(5)=2cm`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    DC PANDEY ENGLISH|Exercise Taking it together|67 Videos

  • CIRCULAR MOTION

    DC PANDEY ENGLISH|Exercise Match the columns|3 Videos

  • CIRCULAR MOTION

    DC PANDEY ENGLISH|Exercise Integer|7 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|21 Videos

  • COMMUNICATION SYSTEM

    DC PANDEY ENGLISH|Exercise Only One Option is Correct|27 Videos

Similar Questions

Explore conceptually related problems

A body slides down on a frictionless track which ends in a circular loop of diameter D. The minimum height h in terms of D so that the body may just complete the circular loop, is

An inclined track ends in a circular loop of radius r. From what height on the track a particle should be released so that it completes the loop, assuming there is no friction ?

A solid sphere rolls without slipping along the track shown in the figure. The sphere starts from rest from a height h above the bottom of the loop of radius R which is much larger than the radius of the sphere r. The minimum value of h for the sphere to complete the loop is

A current I flows along a round circular loop of radius R . Find the line integration of magnetic field along the axis of the loop from center to oo

A block of mss m is placed on a level frictionless table. The block is attached to a horizontally aligned spring fixed with its other end and is vibrating in a horizontal with the pariod T . Suddenly at the instant of time when the spring comes to the position of euilibrium and becomes unstretched the block disconnects form the spring and continues sliding across the frictionless surface away from the until it encounters loop of radius R . What must be the amplitude of vibrations of the block s on the spring in order for the block to complets one loop without falling down?

A block is released from rest at the top of an inclined plane which later curves into a circular track of radius r as shown in figure. Find the minimum height h from where it should be released so that it is able to complete the circle.

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

An object of mass m is released from rest at a height h above the surface of a table. The object slides along the inside of the loop. The loop track consisting of a ramp and a circular loop of radius R shown in the figure. Assume that the track is frictionless. When the object is at the top of the circular track it pushes against the track with a force equal to three times its weight. What height was the object dropped from?

A circular loop of radius R is kept in a uniform magnetic field pointing perpendicular into the plane of paper. When a current l flows in the loop, the tension produced in the loop is

A body covers a circular path of radius R in 20 second. Calculate the distance and the displacement of of body at the end of 50 second.

DC PANDEY ENGLISH-CIRCULAR MOTION-Check point
  1. A string of length 0.1 m cannot bear a tension more than 100 N. It is ...

    Text Solution

    |

  2. A mass 2 kg is whirled in a horizontal circle by means of a string at ...

    Text Solution

    |

  3. A mass of 100 gm is tied to one end of a string 2 m long. The body is ...

    Text Solution

    |

  4. A car is taking turn on a circular path of radius R. If the coefficien...

    Text Solution

    |

  5. A car is moving in a circular horizontal track of radius 10 m with a c...

    Text Solution

    |

  6. The radius of the curved road on a national highway is R. The width of...

    Text Solution

    |

  7. A motor cyclist moving with a velocity of 72 km/hour on a flat road ta...

    Text Solution

    |

  8. A car of mass 1000kg negotiates a banked curve of radius 90m on a fric...

    Text Solution

    |

  9. Keeping the angle of banking, if the radius of curvature is made four ...

    Text Solution

    |

  10. A person wants to drive on the vertical surface of a large cylindrical...

    Text Solution

    |

  11. A motercyclist wants to drive on the vertical surface of wooden 'well'...

    Text Solution

    |

  12. A block of mass m at the end of a string is whirled round in a vertica...

    Text Solution

    |

  13. A stone of mass of 1 kg is tied to the end of a string 1 m long. It is...

    Text Solution

    |

  14. A stone is attached to one end of a string and rotated in verticle cri...

    Text Solution

    |

  15. A particle is moving in a vertical circle with constant speed. The tan...

    Text Solution

    |

  16. A particle of mass m is being circulated on a vertical circle of radiu...

    Text Solution

    |

  17. An isolated charge q(1) of mass m is suspended freely by a thread of l...

    Text Solution

    |

  18. A child is swinging a swing. Minimum and maximum heights fo swing from...

    Text Solution

    |

  19. A national roadway bridge over a canal is in the form of an arc of a ...

    Text Solution

    |

  20. A frictionless track ABCDE ends in a circular loop of radius R. A body...

    Text Solution

    |