21. The massive Three Gorges Dam on China's Yangtze River has height 185 m (Figure 16). Calculate the force on thedam, assuming that the dam is a trapezoid of base 2000 m and upper edge 3000 m, inclined at an angle of 55° to thehorizontal (Figure 17).3000 m185 m2000 mFIGURE 16 Three Gorges Dam onthe Yangtze River. (Reuters/STR/Landov)FIGURE 17

Answered: Image /qna-images/answer/d11b13a2-ca5b-4132-bdf5-c164de5ef015.jpg

Answered: 21. The massive Three Gorges Dam on…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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1. An airplane has an airspeed of 500 km/h. The pilot wishes to fly to a destination that is 800 km due west from the plane's present location. There is a 120 km/h wind from the south. a) Determine the resultant ground velocity. Include a vector diagram.
A wrench 1m long lies along the positive y-axis and grips a bolt at the origin (i.e. the wrench can be represented by vector <0,1,0>). A force is applied in the direction of the unit vector <0, 1/sqrt(2), 1/sqrt(2)> at the end of the wrench. Find the magnitude of the force in Newtons (N) needed to supply 5sqrt(2) N*m of torque to the bolt. torque = | r x F | if r = <0,1,0> and F = <0, 1/sqrt(2), 1/sqrt(2)> so the torque is equal to the magnitude of the cross product of these two vectors but I don't understand how to get incorporate the 5sqrt(2) N*m I know that the magnitude of the cross product must be equal to 5sqrt(2) but I am not sure how to work backwards to that answer, please help!.
A vertical dam has the form of an isosceles trapezoid with horizontal sides parallel. The dam is 20 m high, 20 m in its lower part and 40 m in its upper part. Finally, the dam retains 15 m of water, as indicated in the figure below. 20 - 20 15 a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the dam comprised between y m and y + Ay m is approximately p (y) Ay N. What is p (y)? Note that the density of water is p = 1000 Kg/m³ and the acceleration due to gravity on the earth's surface is g = 9.8 m/s2 Express your answer as a formula Answer: b) in Newtons, what is the total hydrostatic force exerted on the dam? FORMATTING: If you round your answer, ensure that the round-off error is less than 1% of the value. Answer Number
6. A golf ball is hit in a horizontal direction off the top edge of a building that is 100 ft tall. How fast must the ball be launched to land 450 ft from the base of the building?
(5) The force F=80 N is applied to the crank OA through rod AB at point A as shown, with OA= 0.05 m, 0 = 55°, and ẞ= 15°. (a) Determine from geometry the moment arm d for the force about point O, and then (b) determine the moment of the force F about point O. Ans: (a) 0.0383 m (b) 3.06 N·m CCW F B

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