Home
Class 11
PHYSICS
A turn of radius 100 m is banked for a s...

A turn of radius 100 m is banked for a speed of 20 m/s
(a) Find the banking angle
(b) If a vehicle of mass 500 kg negotiates the curve find the force of friction on it if its speed is – (i) 30 m/s (ii) 10 m/s
Assume that friction is sufficient to prevent skidding and slipping.
[Take `"tan" 22^(@) = 0.4 , "sin" 22^(@) = 0.375 , "cos" 22^(@) = 0.93 , g = 10 ms^(-2)`]

Text Solution

Verified by Experts

The correct Answer is:
(a) `22^(@)`
(b) (i) 2315 N , 1389 N
Promotional Banner

Topper's Solved these Questions

  • MOMENTUM AND CENTRE OF MASS

    ARIHANT|Exercise Momentum And Center of Mass|117 Videos
  • ROTATIONAL MOTION

    ARIHANT|Exercise PHYSICS|159 Videos

Similar Questions

Explore conceptually related problems

A turn of radius 20 m is banked for the vehicle of mass 200 kg going at a speed of 10 m//s . Find the direction and magnitude of frictional force (a) 5 m//s (b) 15 m//s Assume that friction is sufficient to prevent slipping. (g=10 m//s^(2))

A turn of radius 600 m is banked for a vehicle of mass 200 kg going with a speed of 180kmh^(-1) . Determine the banking angle of its path.

A particle moves in a circle of radius 4m with a linear speed of 20m//s . Find the angular speed.

A curve of radius 900 m is banked so that no friction is required at a speed of 30 ms^(-1) . Calculate the angle of banking.

A car of mass 1000kg negotiates a banked curve of radius 90m on a fictionless road. If the banking angle is 45^(@) the speed of the car is:

Calculate the angular momentum of a bike of mass 500 kg moving in a circular track of radius 20 m with a speed of 30 m/s.

A motorcyclist is describing a circle of radius 25 m at a speed of 5 m/s . Find the inclination with the vertical and the coefficient of friction between the tyres and ground.

A train of mass 10^(5) kg rounds a curve of radius 100m at a speed of 20 m/s . If the track is not , then the thrust on the outer rail of the track is

ARIHANT-NEWTONS LAWS OF MOTION-All Questions
  1. A metallic hemisphere is having dust on its surface. The sphere is rot...

    Text Solution

    |

  2. Civil engineers bank a road to help a car negotiate a curve. While des...

    Text Solution

    |

  3. A turn of radius 100 m is banked for a speed of 20 m/s (a) Find t...

    Text Solution

    |

  4. A horizontal circular turning has a curved length L and radius R. A ca...

    Text Solution

    |

  5. A 70 kg man enters a lift and stands an a weighing scale inside it. At...

    Text Solution

    |

  6. Three small discs are connected with two identical massless rods as sh...

    Text Solution

    |

  7. Figure shows two blocks in contact sliding down an inclined surface of...

    Text Solution

    |

  8. A small collar of mass m = 100 g slides over the surface of a horizont...

    Text Solution

    |

  9. A flat race track consists of two straight section AC and DB each of l...

    Text Solution

    |

  10. A small insect is climbing slowly along the inner wall of a hemispheri...

    Text Solution

    |

  11. A room is in shape of a cube . A heavy ball (B) is suspended at the ce...

    Text Solution

    |

  12. Two identical smooth disc of radius R have been placed on a frictionle...

    Text Solution

    |

  13. Three identical smooth cylinders, each of mass m and radius r are rest...

    Text Solution

    |

  14. A massless spring of force constant K and natural length l(0) is hangi...

    Text Solution

    |

  15. In the system shown in fig., all pulleys are mass less and the string ...

    Text Solution

    |

  16. In the system shown in fig., block A and C are placed on smooth floors...

    Text Solution

    |

  17. A chain with uniform mass per unit length lies in a vertical plane alo...

    Text Solution

    |

  18. A 4 kg block is placed on a rough horizontal surface. The coefficient ...

    Text Solution

    |

  19. A rope of mass m is hung from a ceiling. The centre point is pulled do...

    Text Solution

    |

  20. A smooth cylinder is fixed with its axis horizontal. Radius of the cyl...

    Text Solution

    |