Rounding a flat curve – dynamics of circular motion problems and solutions

1. A 2000-kg car rounds a curve on a flat road of radius 150 m. The coefficient of static friction is 0.5. Determine the maximum speed so the car follows the curve and not skid. Acceleration due to gravity = 10 m/s2.

Known :

Mass (m) = 2000 kg

Radius (r) = 150 meters

Coefficient of static friction (μs) = 0.5

Weight (w) = m g = (2000 kg)(10 m/s2) = 20,000 kg m/s2 = 20,000 N

Force of static friction (Fs) = μs N = μs w = (0.7)(20,000 N) = 14,000 N

Wanted : v

Solution :

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Rounding a flat curve – dynamics of cicular motion problems and solutions 1

  1. Mass and weight
  2. Normal force
  3. Newton’s second law of motion
  4. Friction force
  5. Motion on the horizontal surface without friction force
  6. The motion of two bodies with the same acceleration on the rough horizontal surface with the friction force
  7. Motion on the inclined plane without friction force
  8. Motion on the rough inclined plane with the friction force
  9. Motion in an elevator
  10. The motion of bodies connected by cord and pulley
  11. Two bodies with the same magnitude of accelerations
  12. Rounding a flat curve – dynamics of circular motion
  13. Rounding a banked curve – dynamics of circular motion
  14. Uniform motion in a horizontal circle
  15. Centripetal force in uniform circular motion