8. A Boat exerts a pull which is wrapped around a capstan on the pier if the coefficient of friction is 0.3, how many turns must the hawser make around the capstan so that the pull at the other end 000 lb on its hawser does not exceed 50 Ib? 4000 lb 50 lb
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- On a rough surface, Daniel pushes a carton with a mass of 30.0kg. The force F that is he applies is 608N with an angle of 55.0 degrees with the horizontal. In a time of 4s, the block's speed increases from 0.15m/s to 2.68m/s. a) Draw a free body diagram for your calculations b) Find the coefficient of kinetic friction between the flood and the block.The weights of two children sitting at ends A and B of a seesaw are 84 lb and 64 lb, respectively. Where should a third child sit so that the resultant of the weights of the three children will pass through C if she weighs (a) 60 lb, (b) 52 lb.Consider a hollow cone with a vent hole in the vertex at thetop, along with a hollow cylinder, open at the top, with thesame base area as the cone. Fill both with water to the top.The hydrostatic par a dox is that both containers have thesame force on the bottom due to the water pressure, althoughthe cone contains 67 percent less water. Can you explainthe paradox?
- A scow in the shape of rectangular parallelpiped with dimensions 14 m long x 8 m wide and 4.5 m high is to transport 20 mm diameter x 6 m long reinforcing steel bars weighing 77 kN/m^3. If the weight of the scow is 1.96 MN, how many pieces of rebars can it carry if the draft in sea water (Specific weight = 10.07 kN/m^3) is to be limited to 3 meters. a.10,246.0 b.8,764.0 c.9,818.0 d.8,400.0After putting it off for three months, you decide to finally trim the tree in your front yard. You use your3.6-m long ladder and rest it against the tree so that it makes an angle of 50◦ from the ground. You climbfour fifths of the way up the ladder and start trimming. Assume your mass is 72 kg, and the mass of theladder is 13 kg. What is the magnitude of the friction force bewteen the bottom of the ladder and theground? Note- you can assume there is no friction between the ladder and the tree.The force system shown consists of the couple C and four forces. If the resultant of this system is a 500 kN.m counterclockwise couple. 1. Which of the following gives the value of P? a. 243.75 kN b. 150.35 kN c. 320.78 kN d. 280.75 kN 2. Which of the following gives the value of Q? a. 148.75 kN b. 320.56 kN c. 280.45 kN d. 276.25 kN 3. Which of the following gives the value of Couple C? a. 1667.50 kN.m b. 1880.65 kN.m c. 1780.50 kN.m d. 1500.75 kN.m
- You have a rectangular box 1.5m long, 0.8m wide and 0.6m high. How many gallons of water can it hold? (1.0 gal = 0.134ft^3 and 1.0m = 3.281 ft)A crate is given an initial speed of 2.5m/s up the 20.0° plane. If the planehas a kinetic friction of 0.15 calculate, (a) How far up the plane will it go?(b) How much time elapses before it returns to its starting point?A weight of 120 N is swung in a vertical circle at the end of a cord 1.50m long. At the lowest point of the weight, the tension in the cord is 500 N. Which of the following most nearly gives the value of the height above the lowest point that the weight will rise on the circular path?
- 2. The tanker carries 1.5 x 10^6 barrels of crude oil in its hold. Hint: Each barrel contains 42 gallons, and there are 7.48 gal/ft^3 Determine the weight of the oil in pounds if its specific gravity is 0.87. Show illustration.A hollow cylinder 1.20 m in diameter 2.5 m high weighs 4 kN.a. Determine the weight of lead anchor fastened at the bottom of thecylinder to make it float vertically in water with 0.5m projecting abovethe water surface.b. If the lead anchor is instead placed inside the cylinder, determine itsweight to keep the cylinder float vertically with 0.5 m projecting abovethe water surface.A 20 kg board serves as a seesaw for two children. One child has a mass of 30 kg and sits 2.5 meters from the pivot point. At what distance from the pivot point must a 25 kg child place herself to balance the seesaw? Assume the board is centered at the pivot. a. 2.8 meters b. 2.6 meters c. 2.0-meters d. 3.0 meters