The racing car has a mass of 690 kg and a center of mass at G. If there no slip, determine the value of the minimum coefficient of static friction required between the wheels and the ground for the car to achieve an acceleration of a = 5.6 m. /s².
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- 1) Determine the average braking torque to be applied to stop the vehicle of mass 1.5 ton is movingdown the hill at a slope of 1:7 at 60 kmph and the vehicle is to be stopped at a distance of 50 m.Take the diameter of the vehicle tyre as 500 mm. If the friction energy is momentarily stored in a20 kg cast iron brake drum, what is the average temperature rise of the drum? The specific heat forcast iron may be taken as 520 J/kg ˚C.The weight of the motorcycle is 151 kg and the weight of the driver is 64 kg. Dimensions: l1 = 0,31 m and l2 = 0,23 m Determine the required frictional force.The crate has a weight of W = 350 lb, and the coefficients of static and kinetic friction are μs = 0.3 and μk = 0.2, respectively. Determine the friction force on the floor if θ = 47.4° and P = 105 lb.
- The three stone blocks have masses of mA = 60 kg, mg = 15 kg, and mc 50 kg. Determine the smallest horizontal force P that must be applied to block C in order to move this block. The coefficient of static friction between the blocks is Us 0.3, and between the floor and each block is 's = 0.5.The motorcycle weighs 151 kg and the driver weighs 64 kg. Dimension l1 = 0.31 m and l2 = 0.23 m Determine the required coefficient of friction17-47 The four-wheeler has a weight of 335 Ib and a center of gravity at G1, whereas the rider has a weight of 150 lb and a center of gravity at Gz. If the engine can develop enough torque to cause the rear wheels to slip, determine the largest coefficient of static friction between the rear wheels and the ground so that the vehicle will accelerate without tipping over. What is this maximum acceleration? In order to increase the acceleration, should the rider crouch down or sit up straight from the position shown? Explain. The front wheels are free to roll. Neglect the mass of the wheels in the
- The mine car and its contents have a total mass of 7.1 Mg and a center of gravity at G . If the coefficient of static friction between the wheels and the tracks is μs = 0.34 when the wheels are locked, find the following: 1 The normal force acting on the front wheels at B is Blank 1 kN when the brakes at both A and B are locked. 2 The normal force acting on the rear wheels at A is Blank 2 kN when the brakes at both A and B are locked. 3 The friction force acting on the front wheels at B is Blank 3 kN when the brakes at both A and B are locked. 4 The friction force acting on the rear wheels at A is Blank 4 kN when the brakes at both A and B are locked. 5 With the given information above, does the car move? Answer with Yes or No only. Blank 5Determine the range of the force P required to keep the system stationary. P acts parallel to theground, and the coefficients of static friction at the contacting points are ?? = 0.2, ?? = 0.3,and ?? = 0.4. Both the 100-kg roller and 40-kg hollow cylinder have a radius of 150 mm (useg = 9.81 m/s2).The car has a mass of 1.6 MgMg and center of mass at GG. If the coefficient of static friction between the shoulder of the road and the tires is μsμsmu_s = 0.40, determine the greatest slope θθ the shoulder can have without causing the car to slip or tip over if the car travels along the shoulder at constant velocity. Draw the free-body diagram of the car. Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded.
- The wheel is subjected to a torque of M = 50 N If the coefficient of 0 kinetic friction between the band and brake and the rim of the wheel is 4k=0.3, determine the smallest horizontal force P that must be applied to the lever to stop the wheel.Body U with mass 5m is stacked on the top body W withmass m, and released. The bodies are in contact along thefrictionless interface at 45 to the vertical. The body U isin contact with the frictionless vertical wall. Body W lieson the floor with coefficient of friction u. Relevantdimensions are shown in the figure. Express the results interms of given quantities: m, g, h and u. 1) Let u = 1/5. After separation from W, U continues to fall. Find velocity v1of U when it impacts the ground. 2) Let u = 1/5. After separation from U, W keeps sliding. How far will it get?Specifically, what is the final distance between the point D of W and the vertical wall?The uniform rod has a mass of 13.09 kg and rests on the inside of the smooth ring at B and on the ground at A. If the rod is on the verge of slipping, determine the coefficient of static friction between the rod and the ground.