1.) Do the following problem but replace the banking angle of 20° with = 35°. The sports car, having a mass of 1700 kg, travels horizontally along a 20° banked track which is circular and has a radius of curvature of p = 100 m. If the coefficient of static friction between the tires and the road is μ = 0.2, determine the maximum constant speed at which the car can travel without sliding up the slope. Neglect the size of the car. Also, determine the minimum speed at which the car can travel around the track without sliding down the slope. 0= 20°

1.) Do the following problem but replace the banking angle of 20° with = 35°. The sports car, having a mass of 1700 kg, travels horizontally along a 20° banked track which is circular and has a radius of curvature of p = 100 m. If the coefficient of static friction between the tires and the road is μ = 0.2, determine the maximum constant speed at which the car can travel without sliding up the slope. Neglect the size of the car. Also, determine the minimum speed at which the car can travel around the track without sliding down the slope. 0= 20°

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.71P: The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If...

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The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If the force required to start the spool rotating is F = 160 lb, determine the coefficient of friction between the ground and the spool. Neglect the diameter of the spindle compared to the diameter of the spool.
The man is pedaling his bicycle at a constant speed up a slippery slope of 5%. The man and the bicycle have a total mass of 82 kg centered at G. If the rear wheel is about to slip, find the coefficient of friction u between the tire and the road. If the coefficient of friction were doubled, what friction force would act on the rear wheel? (Why can we neglect the friction under the front wheel?)
15 kg boxes are being transported around a curve via a conveyor belt as shown to the right. Assuming the curve has a radius of 3 meters and the boxes are traveling at a constant speed of 1 meter per second, what is the minimum required coefficient of friction needed to ensure the boxes don’t slip as they travel around the curve?
The sports car is traveling along a 30° banked road having a radius of curvature of R = 150 m as shown in the figure below. If the coefficient of friction between the tires and the road is 0.2, determine the maximum safe speed so no slipping occurs. Neglect the size of the car.
3. A vehicle, mass 1400 kg, passes a bend at a speed of 54 km/hr. The radius of curvature of the road is 60 m. Determine the minimum coefficient of static friction between the car tires and the road, so that the car can pass through corners safely.
A highway is designed for traffic moving at 65 mph. There is a portion of the highway that the radius of a curveis 900 ft. The curved is banked shown below so that no friction is required to keep cars on the road. Find,a. The required banking angle θ of the road so that no friction is required.b. The minimum coefficient of friction between the tires and the road that would keep traffic from skidding atthis speed if the curve is not banked.
A man is pushing a refrigerator initially at rest up a 20 degree incline. He pushes with a force of 90 N parallel to the incline. The weight of the refrigerator is 80 N. The coefficient of non-sliding and sliding friction is 0.4 and 0.3 respectively. Point A is designated to be the lower right corner of the refrigerator. For what value of P will the refrigerator start to slide upwards? For what value of P will the refrigerator start to tip forward? What is the state of motion of the refrigerator?
1. A truck is weighing 1.4 KN moves up a slope of 15 °. What is the force generated by the engine if the truck is accelerating at a rate of 3 m/s2? Assume the coefficient of friction is μ =0.1.
A 1500-lbs crate is pulled along the ground with a constant speed for a distance of 25 ft, using a cable that makes an angle of 15° with the horizontal. Show free body diagram and determine the tension in the cable.The coefficient of kinetic friction between the ground and the crate is μk = 0.55.
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Block A weighs 500 N and block B weighs 280 N. Block A is held by a cord fastened to the wall. Force P is applied on B to drag it to the left at constant speed. The coefficient of friction between A and B is 0.30 and that between B and the floor is 0.32. Find the following (a) the normal force exerted by B on A, FNA (b) the tension in the cord attached to A, T (c) the frictional force exerted by B on A, fA (d) the force applied on B, P (e) the frictional force exerted by the ground on B, fB.
A car making a turn on a dry banked highway ramp is experiencing friction. The coefficient of static friction between the tires and the road is 0.555. Draw vector components for the force of static friction and for the normal force. Determine the maximum speed at which the car can safely negotiate a turn of radius 150.0 m with a banking angle of 20