A 1335 kg sports car rounds a flat curve of radius 40 m. Given that the coefficient of static friction betweeen the tires and road is 0.5, calculate what maximum speed the car can round the road without slidding.

A 4.5kg rock is tied to a 2.15 m piece of string and swung in a vertical circle. Determine the speed required to spin the rock to achieve a minimum tension of 120N.

At what maximum speed can a car negotiate a turn on a wet road with coefficient of static friction 0.200 without sliding out of control? The radius of the turn is 27.5 m.

Engineering a highway curve. If a car goes through a curve too fast, the car tends to slide out of the curve. For a banked curve with friction, a frictional force acts on a fast car to oppose the tendency to slide out of the curve; the force is directed down the bank (in the direction water would drain). Consider a circular curve of radius R = 270 m and bank angle 9, where the coefficient of static friction between tires and pavement is us. A car (without negative lift) is driven around the curve as shown in Figure (a). Find an expression for the car speed Vmax that puts the car on the verge of sliding out, in terms of R, 8, and us. Evaluate Vmax for a bank angle of 0= 11° and for (a) μ = 0.48 (dry pavement) and (b) us= 0.043 (wet or icy pavement). (Now you can see why accidents occur in highway curves when icy conditions are not obvious to drivers, who tend to drive at normal speeds.) (a) Number (b) Number i 44.45 25.17 S R Units Units -Car ( (3

If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).   (a) Calculate the ideal speed in (m/s) to take a 85 m radius curve banked at 15°.  m/s   (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?

The posted speed limit for a flat (unbanked) curve of radius 45m is 45mph. What is the required coefficient of static friction between the road and car tires for this turn to be negotiated safely?

If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).(a) Calculate the ideal speed to take a 85 m radius curve banked at 15°.  14.947 m/s (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 15.0 km/h?

A circular curve of highway is designed for traffic moving at 91 km/h. Assume the traffic consists of cars without negative lift. (a) If the radius of the curve is 150 m, what is the correct angle of banking of the road? (b) If the curve were not banked, what would be the minimum coefficient of friction between tires and road that would keep traffic from skidding out of the turn when traveling at 91 km/h? (a) Number i Units (b) Number Units

a person on a bicycle is traveling on a curve of radius 48.0 m. if the rider is moving at 10.2 m/s, what is the minimum coefficient of kinetic friction necesarry to keep the biker on the road?

An engineer must design a curved exit ramp for a highway in such a way that a car, exiting at the posted speed limit of 40 mi/hr, does not depend on friction to round the curve without skidding. The radius of the curve is 161 m. At what angle with respect to the horizontal must the curve be banked?