JEE Main202524 Jan 2025Morning ShiftPhysicsLaws of MotionActual
A car of mass ' m ' moves on a banked road having radius ' r ' and banking angle . To avoid slipping from banked road, the maximum permissible speed of the car is v₀ . The coefficient of friction between the wheels of the car and the banked road is
Options
- A= v _ o ^2+ rg rg + v _ o ^2
- B= v₀^2-r g r g-v₀^2
- C= v₀^2-r g r g+v₀^2
- D= v_o^2+r g rg - v _ o ^2
Correct answer
C. = v₀^2-r g r g+v₀^2
Step-by-step solution
So, N=m g + m v₀^2 r _r= m g + m v₀^2 r aligned & And m v₀^2 r =m g +f_r & m v₀^2 r -m g = (m g + m v₀^2 r ) & (v₀^2-g r )= (v₀^2 +g r ) & = v₀^2-g r g r+v₀^2 aligned