# 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/s^{2}.

__Known :__

Mass (m) = 2000 kg

Radius (r) = 150 meters

Coefficient of static friction (μ_{s}) = 0.5

Weight (w) = m g = (2000 kg)(10 m/s^{2}) = 20,000 kg m/s^{2 }= 20,000 N

Force of static friction (F_{s}) = μ_{s }N = μ_{s }w = (0.7)(20,000 N) = 14,000 N

Wanted : v

__Solution :__

- 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