show me the steps plz Driving through the mountains, a family is running late fo
ID: 1859904 • Letter: S
Question
show me the steps plz
Driving through the mountains, a family is running late for the children's school awards ceremony. The father in the driver's seat crests a hill at 40 mph. From there, he descends 0.25 mile according to his speedometer at 10 degrees before the decline increases to 15 degrees for 100 feet. He then enters a "hairpin" curve (180 degrees at a radius of 100 feet) to the left while dropping another 20 feet. From there, he continues his descent at 5 degrees as he gently curves to the right at a radius of 2,000 feet. The road finally flattens out for a straight run of 0.5 miles. He needs to maintain an average speed of 30 mph to make up the time that they are running behind. If the van weighs 3,000 pounds and the road is closed when the coefficient of friction drops below 0.3, can he maintain that average (no sliding off the road and no tipping over) Provide a profile of the road indicating when how much, how long, and where he must accelerate or decelerate without slipping. When decelerating, provide the load distribution to the tires including when it is in a curve. The cg of the vehicle is in the geometric center of the wheelbase, which is 12 feet long and 8 feet wide, and 3.5 feet above the ground.Explanation / Answer
the coefficient of friction between the tire and road is
u_k = (v^2/r x g)
where v is speed,r is radius of curve and g = 9.8 m/s^2
also,
A = tan^-1(v^2/r x g)
where A is the angle made by the tire with the road
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.