ension in the vertical cable while the
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- 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.The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.A crate of 68 kg simply stands on the moving cart with constant acceleration a. The height from the center of gravity to the cart, L, is 1.5 m, and the angle 0= 13°. What is the maximum acceleration a (in m/s²) the cart can have without tipping over on the cart? The coefficient of static friction between the crate and the cart is ls = 0.49. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Take g = 9.81 m/s2. 0.5 m |0.5 m G a Your Answer: Answer
- A crate of 68 kg simply stands on the moving cart with constant acceleration a. The height from the center of gravity to the cart, L, is 1.5 m, and the angle 0= 13°. What is the maximum acceleration a (in m/s²) the cart can have without tipping over on the cart? The coefficient of static friction between the crate and the cart is ls = 0.49. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Take g = 9.81 m/s². 0.5 m |0.5 m • G a Your Answer: AnswerA bicycle and rider, travelling at 12 km/hr on a level road, have a mass of 105 kg. A brake is applied to the rear wheel, which is 800 mm in diameter. The pressure force on the brake is 80 N and the coefficient of friction is 0.06. Find the distance covered by the bicycle and the number of turns of its wheel before coming to rest.In a Porter governor, the mass of the central load is 18 kg and the mass of each ball is 2 kg. The top arms are 250 mm while the bottom arms are each 300 mm long. The friction of the sleeve is 14 N. If the top arms make 45° with the axis of rotation in the equilibrium position, find the range of speed of the governor in that position. 503.2
- A skier of mass 'M' Kg starts fron rest down the hill inclined at angle 0', He skies distance 'D' meter down the hill and then coasts tor *X' meter along level snow uptil he stops. Find the coefficient of kinetic friction between the skier and the snow.Find the angle of banking for a highway curve of 300-ftradius designed to accommodate cars travelling at speed ofup to 120 mph, if the coefficient of friction between thetires and the road is 0.60. What is theminimum speed in miles per hour (mph) at which a carcan round the curve without slipping?A heavy cabinet with a mass of 135kg is transported on the truck platform. Assume that the friction between the cabinet and the platform is so great that the cabinet cannot slip, but can instead tip over. The dimensions shown in the cabinet figure are hG = 1.8m, xG = 1.0m and b = 3.4m. How high can the maximum acceleration of the truck to the right be without the cabinet tipping over? What is the angular acceleration of the cabinet in the situation under consideration
- For the delivery truck shown: The mass of the truck is 4000 kg. The horizontal distance from the rear tires to the center of mass, G, is L1 = 3 m The vertical distance from the ground to G is d = 3m The horizontal distance from the rear tires to the front tires is L2 = 5 m. d The delivery truck is traveling at 20 m/s when the brakes are applied. The truck skids to a stop, so that the friction force is applied to the tires by the road.* The coefficient dynamic friction is uk = 0.60 *If it did not skid, then the friction force would be between the brake pads and the brake disc, which would be above the road. Calculate the distance that the truck travels before it stops. Use Σ MA = Ia + d x m*a for the following: 'O' Calculate the left side of this equation: Σ MA G L1 → L2 Calculate the right side of this equation: I*α + d x m*a d+ x m*a is from r x m*a (cross product), so, determine the sign by considering the cross product. Set the left and right right sides equal to each other and…1. A force of 69N is needed to start an 6.9kg box moving across a horizontal surface. Calculate the coefficient of static friction. If the box continues to move with an acceleration of 1.69 m/s2. What is the coefficient of kinetic friction? 2. A box of 45ON is lying in an inclined plane with angle of 35 degrees. If the applied load to move the box is 269N. Determine the net Ff and the acceleration of the box if the coefficient of static friction is 0.35 and the coefficient of kinetic friction is 0.28.A cord passing over a pulley connects two masses, as shown, where m1 = 3.80 kg and m2 = 7.20 kg. The system accelerates with a magnitude of 0.94 m/s2. The coefficient of kinetic friction between the masses and the incline is the same for both masses. Assume the pulley is frictionless, and the cord is massless. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) What is the tension (in N) in the cord?