A car having a mass of 1000 Kg is traveling along a track with a banking angle of 10 ^{0} .The radius of curvature of the track is 60 m .If the coefficient of friction between the tires and the road is 0.3 . Determine the maximum constant speed at which the car can travel without sliding up the slope . Neglect the size of the car . a ) 295.72 m / sb ) 255.72 m / s c ) 305.72 m / s d ) 275.72 m / s 

Let M be the mass of the car ; N_{A} the normal reaction on the car ;R , be the radius of curvature of the track ; m , the coefficient of friction and v be its maximum constant speed with which it can travel without sliding up the slope . The equation of motion
along the y axis is , The equation of motion
along the x axis is , Hence the maximum velocity with which the car can travel without sliding up the slope is 295.72 m / s . 