Home
Class 12
PHYSICS
A car is negotiating a curved road of ra...

A car is negotiating a curved road of radius R. The road is banked at angle `theta`. The coefficeint of friction between the tyres of the car and the road is `mu_(s)`. The maximum safe velocity on this road is

A

`sqrt((g)/(R^(2)) (mu_(s)+tan theta)/(1-mu_(s) tan theta))`

B

`sqrt(gR^(2) (mu_(s)+tan theta)/(1-mu_(s)tan theta))`

C

`sqrt(gR (mu_(s)+tan theta)/(1-mu_(s)tan theta))`

D

`sqrt((g)/(R) (mu_(s)+tan theta)/(1-mu_(s)tan theta))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos
  • LAWS OF MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-B)|44 Videos
  • KINETIC THEORY

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE (ASSIGNMENT) SECTION - D Assertion - Reason Type Questions|10 Videos
  • MAGNETISM AND MATTER

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION D)|26 Videos

Similar Questions

Explore conceptually related problems

A car is taking turn on a circular path of radius R. If the coefficient of friction between the tyres and road is mu , the maximum velocity for no slipping is

A circular racetrack of radius 300 m is banked at an angle of 15^(@) If the coefficient of friction between the wheels of a race car and the road is 0.2 what is the (a) optimum speed of the race car to avoid wear and tear on its tyres , and (b) maximum permissible speed to aviod slipping ?

A circular racetrack of radius 300 m is banked at an angle of 15^(@) If the coefficient of friction between the wheels of a race car and the road is 0.2 what is the (a) optimum speed of the race car to avoid wear and tear on its tyres , and (b) maximum permissible speed to aviod slipping ?

A circular racetrack of radius 300 m is banked at an angle of 15^(@) If the coefficient of friction between the wheels of a race car and the road is 0.2 what is the (a) optimum speed of the race car to avoid wear and tear on its tyres , and (b) maximum permissible speed to aviod slipping ?

What will be maximum speed of a car on a curved road of radius 30 m , If the coefficient of friction between the tyres and the road is 0.4? (g=9.8 m//s^(2))

A car is moving on a horizontal circular road of radius 0.1 km with constant speed. If coefficient of friction between tyres of car and road is 0.4, then speed of car may be (g=10m//s^(2))

What is the minimum stopping distance for a vehicle of mass m moving with speed v along a level road. If the coefficient of friction between the tyres and the road is mu .

A car is moving on a horizontal circular track of radius 0.2 km with a constant speed. If coefficient of friction between tyres of car and road is 0.45, then maximum speed of car may be [Take g=10 m//s^(2) ]

A car moves along a horizontal circular road of radius r with velocity u -The coefficient of friction between the wheels and the road is mu . Which of the following statement is not true?

A car has to move on a level turn of radius 45 m. If the coefficient of static friction between the tyre and the road is mu_s=2.0, find the maximum speed the car can take without skidding.

AAKASH INSTITUTE ENGLISH-LAWS OF MOTION-Assignment (SECTION-C)
  1. Suppose the charge of a proton and an electron differ slightly. One of...

    Text Solution

    |

  2. A rigid ball of mass m strikes a rigid wall at 60^(@) and angles refle...

    Text Solution

    |

  3. A car is negotiating a curved road of radius R. The road is banked at ...

    Text Solution

    |

  4. A plank with a box on it at one end is gradually raised about the othe...

    Text Solution

    |

  5. Two stones of masses m and 2m are whirled in horizontal circles, the h...

    Text Solution

    |

  6. Three blocks A,B and C of masses 4 kg, 2kg and 1kg respectively, are i...

    Text Solution

    |

  7. A block A of mass m1 rests on a horizontal table. A light string conne...

    Text Solution

    |

  8. A system consists of three masses m(1),m(2) and m(3) connected by a st...

    Text Solution

    |

  9. The force F acting on a particle of mass m is indicated by the force-t...

    Text Solution

    |

  10. A balloon with mass M is descending down with an acceleration a (a lt ...

    Text Solution

    |

  11. The upper half of an inclined plane with inclination phi is perfectly ...

    Text Solution

    |

  12. Three blocks with masses m,2m and 3m are connected by strings, as show...

    Text Solution

    |

  13. An explosion blows a rock into three parts. Two parts go off at right ...

    Text Solution

    |

  14. A car of mass 1000 kg negotiates a banked curve of radius 90 m on a fr...

    Text Solution

    |

  15. A car of mass m is moving on a level circular track of radius R. If mu...

    Text Solution

    |

  16. A person of mass 60 kg is inside a lift of mass 940 kg and presses the...

    Text Solution

    |

  17. A ball of mass m strikes a rigid walJ with speed u and rebounds with t...

    Text Solution

    |

  18. A radioactive nucleus of mass M emits a photon of frequency v and the ...

    Text Solution

    |

  19. A block of mass m is in contact with the cart C as shown in fi...

    Text Solution

    |

  20. A gramophone record is revolving with an angular velocity omega. A coi...

    Text Solution

    |