2. The flatbed railway car travels at the constant speed of 60 km/h around a curve of radius 55 m and bank angle 15°. Determine the smallest static coefficient of friction between the crate and the car that would prevent the crate of mass M from sliding. R = 55 m 15°
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- The 60-lb plank rests on a frictionless roller at A, and the 20-lb triangular support BD. Both bodies are homogenous. The coefficients of static friction are 0.4 at B and 0.3 at D. Determine the largest force P that can be applied to the plank without initiating motion.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.1 The uniform dresser has a weight of 85 lb and rests on a tile floor for which μs = 0.28. If the man pushes on it in the direction θ = 30°, determine the smallest magnitude of force F needed to move the dresser. 2 The uniform dresser has a weight of 93 lb and rests on a tile floor for which μs = 0.26. If the man has a weight of 150 lb and pushes on it in the direction θ = 30°, determine the smallest coefficient of static friction between his shoes and the floor so that he does not slip.
- Determine the maximum speed, If the friction at the sleeve is equivalent of 24 N of load.The arms of a Porter governor are each 210mm long and pivoted on the governor axis. The mass of each ball is 7 kg and the mass of the central sleeve is 36 kg. The radius of rotation of the balls reaches a value of 168mm for maximum speed and draw the governor maximum position line diagramThe desk has a weight of 54 lblb and a center of gravity at GG. The coefficients of static and kinetic friction at AA and BB are μsμs = 0.5 and μkμk = 0.2, respectively. (Figure 1) Determine the initial acceleration of a desk when the man applies enough force FF to overcome the static friction at AA and BB. Find the vertical reaction on each of the two legs at AA.If the 75-lb girl is at position d = 4 ft, determine the following. Neglect the weight of the plank. A. The minimum coefficient of static friction μs at contact points A and B so that the plank does not slip is_________. B. The normal force at A is _________ lb given the same condition at Question A C. The normal force at B is ________ lb given the same condition at Question A
- A package of mass m is placed inside a drum that rotates in the verticalplane at the constant angular speed ˙ θ = 1.36 rad/s. If the package reaches the position θ = 45◦ before slipping, determine the static coefficient of friction between the package and the drum.The driver attempts to tow the crate using a rope that has a tensile strength of 1 kN. If the crate isoriginally at rest and has a weight of 1,3 kN, determine the greatest acceleration (m/s2) it can have if the coefficient of static friction between the crate and the road is μs=0.4, and the coefficient of kinetic friction is μk=0.3, g=10 m/s2A brake mechanism is used to lower body A with a constant velocity of 3.0 m/s. The coefficient of friction between the brake and drum D is 0.40. Neglect the weight of the brake. Determine the mass of body A and the power dissipated by the brake. (hint: the normal force between the brake the and disk is not 1200 N)
- The 200-lb man walks up the inclined plank of negligible weight. The coefficients of static friction at A and B are 0.3 and 0.2, respectively. Determine the distance x at which the plank would begin to slide.Two bodies A and B, each weighing 96.6 lb, are connected by a rigid bar of negligible weight attached to them at their gravity centers. The coefficient of friction at the wall and floor is 0.268 if the bodies start from rest at the given position, determine the acceleration of B at this instant. Simplify the solution by creating dynamic equilibrium and taking a moment summation about the intersection of the wall and floor reactions. Explain why these reactions pass through the gravity center of B and A respectively.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?)