R= .25, h = .33Homework Answers
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R= .25, h = .33
Problem 2: Gate Problem In this problem, 2.14, you have the...
2) A thin 4-ft-wide, right-angle gate with negligible mass is free to pivot about a frictionless...
2) A thin 4-ft-wide, right-angle
gate with negligible mass is free to pivot about a frictionless
hinge at point O. The horizontal portion of the gate covers a
1-ft-diameter drainpipe which contains air at atmospheric pressure.
Determine the minimum water depth h at which the gate will pivot to
allow water to flow through the pipe.
Ans: h = 1.88 ft
The massless, 9-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It...
The massless, 9-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It is held in place by the 1650 lb counterweight, W. Determine the water depth, h Water Gat Pivot o Width 9ft h = the tolerance is +/-2% Show Work is REQUIRED for this question: Open Show Work LINK TO TEXT
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a....
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a. The average pressure on the gate. b. The hydrostatic force F applied to the gate and its components, vertical and horizontal c. Determine the volume of the "missing water" above the gate. What do you fincd interesting about this...
x value =1 yvalue =1 z value =2 A cylinder with a radius of R =...
x
value =1
yvalue =1
z value =2
A cylinder with a radius of R = 0.5 m and length L = 2/5 is a
part of
engine oil SAE 30 tank at the left and to support a water tank
at right as
shown. The height of SAE 30 is h = 1/2 m. The water tank has
an inclined
gate ((LAB = 6 1cm. B = 52°). which is hinged at point A. If
both tank has
2/5...
plz help me analysis question! Thanks in advance 2. Let h : R-+ R be the smooth function given by h(z) g is as in Probl...
plz help me analysis question!
Thanks in advance
2. Let h : R-+ R be the smooth function given by h(z) g is as in Problem 1 g(z + 2g(2-x) for all r E R, where (a) Show that if a < -2 0 g(2) if -2< <-1 h(x) if 2 0 (b) Use part (d) of Proble 1 to show that for all E 0,9 in fact for all ,. Conclude that for all e 0,1 The functions from...
write out steps Problem 3 (4 pts.). A bathyscaphe (a small free-diving self-propelled deep-sea submersible), is...
write out steps
Problem 3 (4 pts.). A bathyscaphe (a small free-diving self-propelled deep-sea submersible), is a sphere of radius R= 1.5 m located 873.5 m below the sea level. (a) What is the pressure exerted on its surface (here, you can neglect the size of the bathyscaphe compared to the depth of its immersion) and the buoyant force acting on it in the water? (b) If a small leak is opened at the top of the bathyscaphe, with what...
number 1 and 2 pls Problem 1.1. Suppose that f: R → R and that f...
number 1 and 2 pls
Problem 1.1. Suppose that f: R → R and that f is differentiable at z = a. 1. Show that, given an angle 6, we can choose 6(0) > 0 small enough so that for all r such that r - al < (0) we have that the graph of f(r) lies inside of the cone with angle e around the tangent line. 2. Can you find explicit formulas for 6(0) for the function f(x)...
question 2 added for reference; this is about question 3 2. Dipole-dipole force The charge distribution...
question 2 added for reference; this is about question 3
2. Dipole-dipole force The charge distribution where two equal but opposite charges are separated by a fixed distance δ is called a dipole and is very common and important in nature Consider two dipoles, each consisting of charges tq separated by a distance 6. The axes of two dipoles are parallel and their midpoints are separated by a distance r. One is inverted compared to the other. See the figure....
Rubber Steel 2r Cross-Section Problem 2. A rubber cylinder of height h and radius r fits...
Rubber Steel 2r Cross-Section Problem 2. A rubber cylinder of height h and radius r fits perfectly inside of a steel cylinder (see figure), such that: (1) there is no gap between the steel and the rubber, (2) the rubber is initially stress free, and (3) the contact between the rubber and steel is frictionless. The steel cylinder is resting on the floor, and the rubber itself has material properties E and v. A compressive force F is applied to...
write steps Problem 3 (4 pts.). A bathyscaphe (a small free-diving self-propelled deep-sea submersible), is a...
write steps
Problem 3 (4 pts.). A bathyscaphe (a small free-diving self-propelled deep-sea submersible), is a sphere of radius R- 1.5 m located 873.5 m below the sea level. a) what is the pressure exerted on its surface (here, you can neglect the size of the bathyscaphe compared to the depth of its immersion) and the buoyant force acting on it in the water (b) If a small leak is opened at the top of the bathyscaphe, with what speed...
2) A thin 4-ft-wide, right-angle
gate with negligible mass is free to pivot about a frictionless
hinge at point O. The horizontal portion of the gate covers a
1-ft-diameter drainpipe which contains air at atmospheric pressure.
Determine the minimum water depth h at which the gate will pivot to
allow water to flow through the pipe.
Ans: h = 1.88 ft
The massless, 9-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It is held in place by the 1650 lb counterweight, W. Determine the water depth, h Water Gat Pivot o Width 9ft h = the tolerance is +/-2% Show Work is REQUIRED for this question: Open Show Work LINK TO TEXT
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a. The average pressure on the gate. b. The hydrostatic force F applied to the gate and its components, vertical and horizontal c. Determine the volume of the "missing water" above the gate. What do you fincd interesting about this...
x
value =1
yvalue =1
z value =2
A cylinder with a radius of R = 0.5 m and length L = 2/5 is a
part of
engine oil SAE 30 tank at the left and to support a water tank
at right as
shown. The height of SAE 30 is h = 1/2 m. The water tank has
an inclined
gate ((LAB = 6 1cm. B = 52°). which is hinged at point A. If
both tank has
2/5...
plz help me analysis question!
Thanks in advance
2. Let h : R-+ R be the smooth function given by h(z) g is as in Problem 1 g(z + 2g(2-x) for all r E R, where (a) Show that if a < -2 0 g(2) if -2< <-1 h(x) if 2 0 (b) Use part (d) of Proble 1 to show that for all E 0,9 in fact for all ,. Conclude that for all e 0,1 The functions from...
write out steps
Problem 3 (4 pts.). A bathyscaphe (a small free-diving self-propelled deep-sea submersible), is a sphere of radius R= 1.5 m located 873.5 m below the sea level. (a) What is the pressure exerted on its surface (here, you can neglect the size of the bathyscaphe compared to the depth of its immersion) and the buoyant force acting on it in the water? (b) If a small leak is opened at the top of the bathyscaphe, with what...
number 1 and 2 pls
Problem 1.1. Suppose that f: R → R and that f is differentiable at z = a. 1. Show that, given an angle 6, we can choose 6(0) > 0 small enough so that for all r such that r - al < (0) we have that the graph of f(r) lies inside of the cone with angle e around the tangent line. 2. Can you find explicit formulas for 6(0) for the function f(x)...
question 2 added for reference; this is about question 3
2. Dipole-dipole force The charge distribution where two equal but opposite charges are separated by a fixed distance δ is called a dipole and is very common and important in nature Consider two dipoles, each consisting of charges tq separated by a distance 6. The axes of two dipoles are parallel and their midpoints are separated by a distance r. One is inverted compared to the other. See the figure....
Rubber Steel 2r Cross-Section Problem 2. A rubber cylinder of height h and radius r fits perfectly inside of a steel cylinder (see figure), such that: (1) there is no gap between the steel and the rubber, (2) the rubber is initially stress free, and (3) the contact between the rubber and steel is frictionless. The steel cylinder is resting on the floor, and the rubber itself has material properties E and v. A compressive force F is applied to...
write steps
Problem 3 (4 pts.). A bathyscaphe (a small free-diving self-propelled deep-sea submersible), is a sphere of radius R- 1.5 m located 873.5 m below the sea level. a) what is the pressure exerted on its surface (here, you can neglect the size of the bathyscaphe compared to the depth of its immersion) and the buoyant force acting on it in the water (b) If a small leak is opened at the top of the bathyscaphe, with what speed...
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