$A$ car of mass $m$ moves on a banked road having radius $r$ and banking angle $\theta$. To avoid slipping from the banked road,the maximum permissible speed of the car is $v_0$. The coefficient of friction $\mu$ between the wheels of the car and the banked road is:

  • A
    $\mu=\frac{v_0^2+r g \tan \theta}{r g-v_0^2 \tan \theta}$
  • B
    $\mu=\frac{v_0^2+r g \tan \theta}{r g+v_0^2 \tan \theta}$
  • C
    $\mu=\frac{v_0^2-r g \tan \theta}{r g+v_0^2 \tan \theta}$
  • D
    $\mu=\frac{v_0^2-r g \tan \theta}{r g-v_0^2 \tan \theta}$

Explore More

Similar Questions

$A$ car is moving on a circular level road of curvature $300\,m.$ If the coefficient of friction is $0.3$ and acceleration due to gravity is $10\,m/s^2,$ the maximum speed the car can have is ........ $km/hr.$

On which road do we get maximum speed: a circular road with a slope (banked road) or a level circular road?

Obtain the formula for the maximum safe speed $(v_{max})$ of a vehicle on a level curved road.

An unbanked curve has a radius of $60\,m$. The maximum speed at which a car can make a turn if the coefficient of static friction is $0.75$,is ........ $m/s$.

Difficult
View Solution

$A$ long horizontal rod has a bead which can slide along its length,and is initially placed at a distance $L$ from one end $A$ of the rod. The rod is set in angular motion about $A$ with constant angular acceleration $\alpha$. If the coefficient of friction between the rod and the bead is $\mu$,and gravity is neglected,then the time after which the bead starts slipping is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo