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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- Mass and weight
- Normal force
- Newton’s second law of motion
- Friction force
- Motion on the horizontal surface without friction force
- The motion of two bodies with the same acceleration on the rough horizontal surface with the friction force
- Motion on the inclined plane without friction force
- Motion on the rough inclined plane with the friction force
- Motion in an elevator
- The motion of bodies connected by cord and pulley
- Two bodies with the same magnitude of accelerations
- Rounding a flat curve – dynamics of circular motion
- Rounding a banked curve – dynamics of circular motion
- Uniform motion in a horizontal circle
- Centripetal force in uniform circular motion
