college physics

posted by .

Let the radius of the circular segment be
108 m, the mass of the car 1861 kg, and
the coefficient of the static friction between
the road and the tire 0.9. The banking angle
is not given.
Find the magnitude of the normal force N which the road exerts on the car at the opti-mal speed (the speed at which the frictional
force is zero) of 72 km/h.
Answer in units of N.

  • college physics -

    FBD: friction down angled road/ramp, normal force perpendicular to ramp, gravity down, impending motion up ramp.

    Fnet = ma
    In r direction,
    Friction_r+N_r=mv^2/r
    (f_s)(cosX)+NsinX=mv^2/r
    uNcosX+NsinX=mv^2/r
    N=(mv^2)/(ucosX+sinX) (1)

    In z direction, NcosX-uNsinX-W=0
    N=mg/(cosX-usinX) (2)

    Set equations 1 and 2 equal, solve for X, substitute back into either 1 or 2, yielding N

  • college physics -

    lol, Equation 1 is actually
    N=(mv^2)/(r)(ucosX+sinX)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    Consider again the problem of a car traveling along a banked turn. Sometimes roads have a "reversed" banking angle. That is, the road is tilted "away" from the center of curvature of the road. If the coefficient of static friction …
  2. physics

    Let the radius oh a circular segment be 110 m, the mass of the car 1508 kg, and the coefficient of the static friction between the road and tire 0.9. Find the magnitude of the normal force N which the road evers on the car at the optional …
  3. physics

    Let the radius of the circular segment be 92 m, the mass of the car 2393 kg, and the coefficient of the static friction between the road and the tire 0.9. Find the magnitude of the normal force N which the road exerts on the car at …
  4. physics

    Consider again the problem of a car traveling along a banked turn. Sometimes roads have a "reversed" banking angle. That is, the road is tilted "away" from the center of curvature of the road. If the coefficient of static friction …
  5. Physics

    A car rounds a curve that is banked inward. The radius of curvature of the road is R = 109, the banking angle is θ = 25°, and the coefficient of static friction is μs = 0.24. Find the minimum speed that the car can have …
  6. Physics

    Consider again the problem of a car traveling along a banked turn. Sometimes roads have a "reversed" banking angle. That is, the road is tilted "away" from the center of curvature of the road. If the coefficient of static friction …
  7. physics 52

    A car rounds a banked curve where the radius of curvature of the road is R=100m., the banking angle 10 degrees and the coefficient of static friction is .10 (slippery conditions). A) Determine the range of speeds the car can gave without …
  8. Physics

    Consider again the problem of a car traveling along a banked turn. Sometimes roads have a "reversed" banking angle. That is, the road is tilted "away" from the center of curvature of the road. If the coefficient of static friction …
  9. Physics

    Consider a wet roadway banked as in the following figure, where there is a coefficient of static friction of 0.30 and a coefficient of kinetic friction of 0.25 between the tires and the roadway. The radius of the curve is R = 50 m. …
  10. PHYSICS?

    1300 kg car rounds a banked curve of radius= 50m. If car traveling at 75 km/h and the coefficient of static friction between the tire and road is 0.45 ... 1.) what is the minimum angle of the bank needed to keep the car in the turn?

More Similar Questions