For the embankment of the track, sliding motion of the automobile is impending w
ID: 2280720 • Letter: F
Question
For the embankment of the track, sliding motion of the automobile is impending when the vehicle is at rest. Find the maximum permissible constant speed of the automobile, if sliding motion is not to occur when the vehicle is in motion. Coefficient of friction between tires and track is 0.58.
For the embankment of the track, sliding motion of the automobile is impending when the vehicle is at rest. Find the maximum permissible constant speed of the automobile, if sliding motion is not to occur when the vehicle is in motion. Coefficient of friction between tires and track is 0.58.Explanation / Answer
it's case of banked turn with friction,
so,
r = 380 ft = 115.824 m
v = sqrt(r*g(tan(theta)-(mu_s))/(1+(mu_s)*tan(theta))
v = sqrt(115.824*9.81*(tan(45 degree)-(0.58))/(1+(0.58)*tan(45 degree))
==> v = 17.38 m/s