A 120-lb girl is walking up a 48-lb uniform beam Determine how far up the beam the as shown in Fig. girl can walk before the beam starts to slip if The coefficient of friction is 0.20 at all surfaces. 2 ft 6 ft 8 ft
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- The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016, determine the force F required to advance the bar at a constant speed.Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.
- 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.To climb a 400 meter high mountain, you have two options, a straight line route with a 40 ° slope or a route composed of 5 equal sections (same length) each with a 20 ° slope. If traveling in a car with a mass of 1280 kg and a maximum power of 88 kW, Determine (assume the whole car as a particle): a) Is the friction enough to prevent the car from sliding? The coefficient of static friction of the tires with the ground is 0.95. b) What is the power required to climb the 40 ° slope at a constant speed of 40 km / h? Does the car have enough power to go up at that speed? c) What is the constant speed at which the 40 ° slope can be climbed with a 60 kW power? d) What is the power required to climb a 20 ° slope at 40 km/h? Does the car has enough power to go up at that speed? e) In which of the two trajectories does the car do more work? Ignore the resistance of the air and rolling resistance and radius of curves between sections of the compound route. Please add the free body diagram.Determine the horizontal force required to move a 2500-lb automobile with 23-in.-diameter tires along a horizontal road at a constant speed. Neglect all forms of friction except rolling resistance, and assume the coefficient of rolling resistance to be 0.05 in.
- A 150 lb man can climb up15 ft on a 20 ft ladder before it slips. What must the coefficient of friction be if the ladder is arranged so that its base makes an angle of 50 ̊ with the ground? Assume the ladder to be uniform and weighing 100 lb.A 85-kg man starts climbing a ladder that leans against a wall as shown in Figure Q1. If the ladder is 5 m long and weighs 10 kg. Determine how far up the ladder the man can climb (in m) before the ladder starts to slip if the coefficient of friction is 0.25 at the top vertical surface and 0.4 at the bottom horizontal surface.A 25-kg ladder, 4m long rests on a rough floor and against a vertical wall. The ladder makes an angle of 35o with the horizontal as shown. It starts to slip when a man weighing 75 kg has climbed halfway up. If coefficient of friction at the wall is 0.2, determine the coefficient of friction at the floor.
- A 100 lb force exerted against a 1000-lb block causes the block to slide with constant velocity. The friction force on the block must beA 35-kg child rides on a 10-kg bicycle with 500-mmdiameter wheels. Determine the horizontal force necessary to push the child and bicycle On a level sidewalk.Neglect all friction except rolling resistance.Box A weighs 1000N and has a height of H1=3m and width W1=2m. Box B weighs 800N. the static friction coefficient between the boxes is uA=0.7 and the static friction coefficient between box B and the ramp is uB=0.5. Find the max allowable angle for the following instances where no motion occurs, box A and B remain stationary. 1) Box A slides, Box B remains stationary 2) Box A tips, Box B remains stationary 3) Box B slides, Box A remains stationary on block B