A bus negotiates a turn of radius 120 m while traveling at a speed of 96 km/h. If slipping just begins at this speed, what is the coefficient of static friction between the tires and the road? Find the optimum banking angle for the bus.

A car rounds a curve that is banked inward. The radius of curvature of the road is R = 104 m, the banking angle is θ = 29°, and the coefficient of static friction is μs = 0.31. Find the minimum speed that the car can have without slipping. Use g=9.8 m/s2.

A 1000 kg car enters an unbanked curve of 1 km radius with a velocity of 80 kph. What is the minimum coefficient of friction between the road and the car that will allow the car to travel through the turn without banking? Correct answer is 0.05

A case of fine glassware is loaded into a truck and sits on the floor. The truck drives along a street that follows along a circle that has a radius of 30.5 meters. The street is not banked. The coefficient of static friction between case of glass and the floor of the truck is 0.570. If the truck drives too fast, the case of glassware will slip and the glass will be damaged. How fast can the truck be moving without the box sliding?

You are exiting a highway and need to slow down on the off-ramp in order to make the curve. It is rainy and the coefficient of static friction between your tires and the road is only 0.6. If the radius of the off-ramp curve is 24 m, then to what speed do you need to slow down the car in order to make the curve without sliding? (answer in m/s)

Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. Find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN.  Now write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ.  Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v.  Now assume that the car is moving at 23 m/s and the radius of the track is 270 m. What is the angle θ in degrees?

Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. Find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN.  Now write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ.  Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v.

An engineer wants to design an oval racetrack such that 3.20 × 10³ lb racecars can round the exactly 1000 ft radius turns at 1.00 x 102 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle necessary for the race cars to navigate the turns at 1.00 × 10² mi/h without the aid of friction. 0 = What additional radial force F, is necessary to prevent a race car from drifting on the curve at 175 mi/h? This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h. 0 Fr= N

A curve of radius 1.80x102 m is being designed in a new highway to allow cars travelling at 70.0 km/h to round the curve with zero frictional forces.              a) At what angle must the road be banked?              b) What is the minimum coefficient of friction that will allow a car to successfully go around the curve at 30.0 km/h?

Mohamad is driving a car around a turn of radius r = 20 m. The road is on a banked curve of 30 degrees. If the coefficient of static friction is 0.35, what is the maximum speed that Mohamad can safely make the turn?