A uniform ladder of length 3.25 m and weighing 250 N is placed Against a smooth vertical wall with its lower end 1.25 m from theWall. The coefficient of friction between the ladder and floor is0.3. The frictional force acting on the ladder at the point of contact With floor is N.
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- 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 BA 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.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.
- 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.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 frictionThe 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 system is used to lift a block with mass 300 kg. If the friction coefficient between twoblocks, and between a block and a surface, are 0.20 and 0.35, respectively, what is the minimum force Prequired such that the object is about to be lifted? Assume weights of the blocks to be negligiblecompared to lifted weight. (g=9.81)A box of mass m = 30 kg is at rest on a ramp inclinedat 50° to the horizontal. The coefficients of friction between the box and the ramp are mS = 0.80 and mK = 0.70. Determine the magnitude of the largest force that can be applied upward, parallel to the ramp, if the box is to remain at rest.A 20 kg block is held in place on an incline plane as shown by a rope that passesover a frictionless pulley at B and then over a fixed cylinder at C where thecoefficient between the rope and the fixed cylinder is 0.2. Given an angle ofincline, A = 25°, if a force of P = 200 V is applied to the end of the rope,(a) Will the block move if the coefficient of static friction between the block and theinclined surface is M, = 0.56?(b)If impending motion exists, will the block tip or slip?
- 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.A car weighing W1 starts moving from the point A of the inclined plane that makes an angle α with the horizontal, hitting the block B, which is at a distance of ℓ, and move smoothly. Since the kinematic friction coefficient µk between the block B and the inclined plane is µk, find the “X” distance where the car and block will stop. W1=W2; ℓ=10 m; µk=0.5; α= 12°A 6-m long ladder has a mass of 10 kg, and its center of gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal. How far up along the ladder can a 78-kg man climb before the ladder is on the verge of slipping? The angle of friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Note: Point A is at the left of point B. SOLVE ASAP