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A uniform crate with a mass of 30 kg must be moved up along the 15° incline without tipping. Knowing that force P is horizontal, determine (a) the largest allowable coefficient of static friction between the crate and the incline, (b) the corresponding magnitude of force P.
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- A toddler weighs 10 kg and raises herself onto tiptoe (on both feet). Her feet are 8 cm long with each ankle joint being located 4.5 cm from the point at which her feet contact the floor. While standing on tip toe: (a) what is the upward normal force exerted by the floor at the point at which one of the toddler’s feet contacts the floor? (b) what is the tension force in one of her Achilles tendons? (c) what is the downward force exerted on one of the toddler’s ankle joints?Needs Complete solution.A particle, of mass 6 kg, is in equilibrium on a rough horizontal plane under a force of magnitude T N, which acts at an angle 15 above the horizontal. Given the coefficient of friction between the particle and the rough horizontal plane is 0.35, what values could T take?
- A 74 kg painter stands on a uniform 30 kg platform as shown (a) Find the tension in the supporting cable (b) Find the vertical compnent of the force exerted by the pin (c) Find the horizontal component of the force exerted by the pinThe coefficient of static friction µg between the 83-lb body and the 14° wedge is 0.37. Determine the magnitude of the force P required to begin raising the 83-lb body if (a) rollers of negligible friction are present under the wedge, as illustrated, and (b) the rollers are removed and the coefficient of static friction Hs = 0.37 applies at this surface as well. 83 lb 14° Answers: (a) P = i Ib (b) P = i IbA man of weight W is on the top of a symmetric two-legged ladder, which is standing on a horizontal surface, as it is shown in the figure. The length of the ladder is L. There is a chain of length a, attached between the bottom third points of the legs, which prevents the collapse of the ladder. (a) Determine the tension T in the chain assuming that the floor is very slippery. (b) Determine the minimal static friction coefficient forwhich the ladder does not collapse even without thechain. In both cases calculate with symbols, and give the numerical result for L = 5 m, W = 800 N, a = 1.5 m.
- A block of mass m; = 4.0 kg is put on top of a block of mass mh = 7.0 kg. To cause the top block to slip on the bottom one, while the bottom one is held fixed, a horizontal force of at least 19 N must be applied to the top block. The assembly of blocks is now placed on a horizontal, frictionless table. (a) Find the magnitude of the maximum horizontal force F that can be applied to the lower block so that the blocks will move together. N (b) Find the magnitude of the resulting acceleration of the blocks. m/s2A 0.237 kg book rests at an angle against one side of a bookshelf. The magnitude and direction of the total force exerted on the book by the left side of the bookshelf are given by |FL| = 1.01N θL=63.0° What must the magnitude |FB| and direction θB of the total force exerted on the book by the bottom of the bookshelf be in order for the book to remain in this position?An initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 876 N. The coefficient of static friction between the box and the floor is 0.410. (a) What should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation? (a) Number i Units (b) Number Units
- A metal weight of mass 15 kg rests on a smooth (that is, frictionless) icy slope that makes an angle of 25° with the horizontal. It is attached to a rope that passes over a pulley at the top of the slope. The other end of the rope is attached to a crate of mass 12 kg that rests on a rough horizontal plank but irov odi is on the point of slipping along the plank. The coefficient of static friction between the crate and the plank is μ. metal weight 25° anolaups Tisda daiw alodasqyd sdt crate sib baa inol aino risa en't lo molisa planka) inabeup M etaduraszoq oda la coulev er no icy slope pulley inson oris 0-8-8-8 + f +vs otros sistensgeb-non pinos lo og oft sai toy, to todensee sobivora bm amizM sulau piuco Model the metal weight and the crate as particles, the rope as a model string ibal and the pulley as a model pulley. Let g denote the magnitude of the acceleration due to gravity (in ms-2). Moisteos ada obulord nov taifs oua sizsin OJ h (a) (i) State the three forces that act on the…An initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 876 N. The coefficient of static friction between the box and the floor is 0.360. (a) What should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation? (a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times (b) Number Enter your answer for part (b) in accordance to the question statement Units Choose the answer for part (b) from the menu in accordance to the question statement This answer has no units°…A large crate is supported on wheels. The wheels can be locked into position to prevent rotation. The weight of the crate is 150 lb and the coefficient of static friction between the floor and the crate wheels is 0.35. A force P is applied as shown to move the crate to the right. If all the wheels are locked to prevent rotation, determine: a) The magnitude of force P required to move the crate to the right b) The largest value of height h to prevent the crate from tipping over. P A a -30%