Home
Class 11
PHYSICS
A person wants to drive on the vertical ...

A person wants to drive on the vertical surface of a large cylindrical wooden 'well' commonly known as 'death well' in a circus. The radius of the well is R and the coefficient of friction between the tyres of the motorcycle and the wall of the well is u. The minimum speed the motor cyclist must have in order to prevent slipping should be -

A

`sqrt((Rg)/(mu)_(s))`

B

`sqrt((mu_(s))/(Rg)`

C

`sqrt((mu_(s)g)/(R)`

D

`sqrt((R)/(mu_(s)g)`

Text Solution

Verified by Experts

The correct Answer is:
A
`N=(mv^(2))/(R),mg=mu_(s)N=(mu_(s)mv^(2))/(R)`
`therefore" "v=sqrt((Rg)/(mu))`
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 person wants to drive on the vertical suirface of a large cylindrical wooden well commonly known as death well in a circus. The radius of the well 2 meter, and the coefficient of friction between the tyers of the motorcycle and the wall of the well is 0.2 the minimum speed the motorcyclist must have in order to prevent slipping should be

A motercyclist wants to drive on the vertical surface of wooden 'well' of radius 5 m, with a minimum speed of 5sqrt5ms^(-1) . The minimum value of coefficient of friction between the tyres and the well must be (take, g = 10 ms^(-2) )

A person stands in contact against the inner wall of a rotor of radius r. The coefficient of friction between the wall and the clothing is mu and the rotor is rotating about vertical axis. The minimum angular speed of the rotor so that the person does not slip downward is

In a rotor, a hollow vertical cylindrical structure rotates about its axis and a person rests against the inner wall. At a particular speed of the rotor, the floor below the person is removed and the person hangs resting against the wall without any floor. If the radius of the rotor is 2m and the coefficient of static friction between the wall and the person is 0.2, find the minimum speed at which the floor may be removed Take g=10 m/s^2 .

In the motorcycle stunt called " the well of death" the track is vertical cylindrical surface of 18 m radius.take the motorcyle to be a point mass and mu=0.8 . The minimum angular speed of the motorcycle to prevent him from sliding down should be

A person stands in contact against a wall of cylindrical drum of radius r, rotating with an angular velocity omega . If mu is the coefficient of friction between the wall and the person, the minimum rotational speed which enables the person to remain stuck to the wall is

What is the maximum speed with which a cylist can turn around curved path of radius 10.0 m, if the coefficient of friction between the tyre and the road is 0.5 ? If the cyclist wants to avoid overturning by what angle the cyclist must lean from the vertical ?

You may have seen in a circus a motorcyclist driving in vertical loops inside a death well (a hollow spherical chamber with holes, so the spectators can watch from outside). Explain clearly why the motorcyclist does not drop down when he is at the uppermost point of death well with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is 25 m ?

You may have seen in a circus a motorcyclist driving in a vertical loop inside a 'death well' chamber with holes, so the spectators can watch from outside. Explain clearly why the motorcyclist does not drop down when he is at the uppermost point, with no support from below. What is the minimum speed required to perform a vertical loop if the radius of the chamber is 25 m ?

The force of interaction between the molecules of same substance is called cohesive force hile force of interaction between molecules of different substances is called adhesive force . Both the forces are attracive and have a range of about 10 A . If we consider a molecule . A well inside a liquid we find that it is equally attracted by the surrounding molecules in all the dirctions ( with a sphere of radius 10 Å ) and so it does not experience any resultant force . On or near the surface of a liquid , the molecules do not exist on the free side and so a molecule ( say B ) experiences a resultant force vertically downwards into the liquid . For this reason , the molecules of the surface have a tendency to go into the liquid . Thus , the surface tends to contract and gives rise to surface tension . As surface molecules like B experience a net downward force of cohension and have tendency to go down , so in increasing the area of the surface more molecules are to be shifted to the surface from inside . Thus , more mechnical work will have to be done against the net downward force of cohension . This work is stored by the molecules in the surfaces as potential energy called free surface energy . Furthermore , molcules like P , in contact with the liquid will stick to the solid surface , i.e will meet it if the force of adhesion A is greater than net force of cohension C . The liquid will not the solid surface if C gt A Also , molecules like Q at the surface in contact with the solid will experience a net force of cohension C_(R) . If adhesion A is greater then cohension C_(R) , the resultant force will be F . As the liquid can't support tangential force , F must be perpendicular to the surface of the liquid . So , the menisus will be concave and the angle of contact will be acute ( gt 90^(@)) . However , if adhesion is lesser than cohension , the resultant force F will be directed into the liquid and so the menisus ( which is perpendicular to F as liquid support tangential force ) will be convex and the angle of contact will be obtuse ( gt 90^(@)) The free suface energy , stored in the surface is because of work done

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

    |