EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
5th Edition
ISBN: 9781259151323
Author: CENGEL
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 11, Problem 53RQ
To determine
The minimum force required to open the water gate.
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First, define the coordinate system XY with its origin at O2 and X-axis passing through O4 asshown above, then based on the provided steps Perform coordinate transformation from XY to xy to get the trajectory of point P. Show all the steps and calcualtions
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Question 2 (40 Points)
Consider the following double pendulum-like system with links ₁ and 12. The angles 0 and & could have
angular velocities ėêk and êk, respectively, where ②k is a unit vector that points out of the page and is
perpendicular to x and y. They could also have angular accelerations Ök and êk. The angle is
defined relative to the angle 0. The link 12 is a spring and can extend or compress at a rate of 12. It can
also have a rate of extension or compression Ï2.
li
y
êr1
êe
12
χ
3
еф
er2
ده لج
1) Express the velocity of the mass in terms of the unit vectors ê0, êr1, êø, and êr2, and any
extension/contraction of the links (e.g.,. i; and Ï¿) (12 Points)
2) Express the acceleration of the mass in terms of the unit vectors ê¤, ê×1, êp, and êÃ2, and any
extension/contraction of the links (e.g.,. İ; and Ï¿) (12 Points)
3) Express the velocity of the mass in terms of unit vectors î and ĵ that point in the x and y
directions, respectively. Also include the appropriate,…
Chapter 11 Solutions
EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
Ch. 11 - Prob. 1PCh. 11 - Someone claims that she can determine the...Ch. 11 - A submerged horizontal flat plate is suspended in...Ch. 11 - You may have noticed that dams are much thicker at...Ch. 11 - Consider a submerged curved surface. Explain how...Ch. 11 - Consider a submerged curved surface. Explain how...Ch. 11 - Consider a circular surface subjected to...Ch. 11 - Consider a heavy car submerged in water in a lake...Ch. 11 - Prob. 9PCh. 11 - Consider a 8-m-long, 8-m-wide, and 2-m-high...
Ch. 11 - Consider a 200-ft-high, 1200-ft-wide dam filled to...Ch. 11 - A room in the lower level of a cruise ship has a...Ch. 11 - The water side of the wall of a 70-m-long dam is a...Ch. 11 - For a gate width of 2 m into the paper (Fig....Ch. 11 - Determine the resultant force acting on the...Ch. 11 - A 6-m-high, 5-m-wide rectangular plate blocks the...Ch. 11 - The flow of water from a reservoir is controlled...Ch. 11 - Repeat Prob. 11–18E for a water height of 8...Ch. 11 - A water trough of semicircular cross section of...Ch. 11 - A cylindrical tank is fully filled with water...Ch. 11 - An open settling tank shown in the figure contains...Ch. 11 - From Prob. 11-22, knowing that the density of the...Ch. 11 - Prob. 24PCh. 11 - The two sides of a V-shaped water trough are...Ch. 11 - What is buoyant force? What causes it? What is the...Ch. 11 - Consider two identical spherical balls submerged...Ch. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - The volume and the average density of an...Ch. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - Prob. 37PCh. 11 - A 170-kg granite rock ( = 2700 kg/m3) is dropped...Ch. 11 - It is said that Archimedes discovered his...Ch. 11 - Prob. 40PCh. 11 - An air-conditioning system requires a 34-m-long...Ch. 11 - Prob. 42RQCh. 11 - Prob. 43RQCh. 11 - Prob. 45RQCh. 11 - Prob. 46RQCh. 11 - A semicircular 40-ft-diameter tunnel is to be...Ch. 11 - Prob. 48RQCh. 11 - Prob. 49RQCh. 11 - The average density of icebergs is about 917...Ch. 11 - Prob. 51RQCh. 11 - Prob. 52RQCh. 11 - Prob. 53RQ
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