Question 1. The homogeneous gate shown in Figure consists of one quarter of a circular cylinder and is used to maintain a water depth of 6+a/10 m. That is, when the water depth exceeds 6 + a/10 m, the gate opens slightly and lets the water flow under it. Determine the weight of the gate per meter of length. (y-9,81 KN/m³). Pivot 6+ b/10 m 2+ a/10m 4R 3x = = 0.05488R I =-0.01647R Hint: le) Quarter-circle

Question 1. The homogeneous gate shown in Figure consists of one quarter of a circular cylinder and is used to maintain a water depth of 6+a/10 m. That is, when the water depth exceeds 6 + a/10 m, the gate opens slightly and lets the water flow under it. Determine the weight of the gate per meter of length. (y-9,81 KN/m³). Pivot 6+ b/10 m 2+ a/10m 4R 3x = = 0.05488R I =-0.01647R Hint: le) Quarter-circle

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...

See similar textbooks

Related questions

Q: The shaft shown in the figure left has the diameters 304 Stainless steel - 2014-T6 Aluminum and…

Q: Volume ama the itCTIlal CHcrgy. 4. A vessel of a volume 0.03m3 contains dry saturated steam at 20…

Q: ion by graphing. oint (F-16, F+4) is a solution for the system.

A: a k = 6 F = 9 y6≤7x-2 -3y>9x--26>0 ⇒y≤42x-12…

Q: 8. Write the name of each component (1-19) in the figure selow.

Q: Q3 A car A is travelling along a straight path, while a lorry B is travelling along a circular path…

A: solution; at X=3curvature of car B (RB)=200mspeed of car A (VA)=(150+X) km/h…

Q: Q2. (a) A force of P = 200 N is applied to block A and causes block A to accelerate to the right on…

A: Since we can answer up to 3 sub-parts so we will answer all 3 parts of subpart (a). Please resubmit…

Q: AX kg block is suspended from an inextensible cable which is wrapped around a drum of Ym radius…

Q: Q6 A pressure tank is supported by two cradles as shown in Figure Q6. One of the cradles is designed…

Q: 375*K4 mm k = 50*K2 N/m 50*K4 mm B www A 50* K4mm 100* K4 mm 3- A 2*K2 kg wheel has a radius of…

Q: INSTRUCTIONS: Solve for all unknowns (magnitude and direction). A 10' 300# 10' 150# B 5'

A: According to the given data A beam AB is given We need to find Reaction at point A and B

Q: Find the value of the determinant D given by: a b 3 D = c d -4 69 9 where a = 2, b = 4, c = 9, d =…

A: According to the given dataa=2b=4c=9d=13We need to findThe determinant of the matrix

Q: the x value(s) if 23x+1 = 5

A: Given Equation 23x+1=5 Take natural log both sides ln(23x+1)=ln(5) (3x+1)ln(2)=ln(5)…

Q: 3. In a conducting slab with uniform heat generation, the temperature profile along the thickness is…

Q: The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: m3w6 –…

Q: The rigid beam is supported a pin connection at A and a cable BD at point the. Diameter of pin at A…

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Table Q4(b) is generated from the function f(x)=e* – 4x² + B , where B is the last two digits of…

Q: A car A is travelling along a straight path, while a lorry B is travelling along a circular path…

A: Given data Velocity of car A (vA) = 152 km/h Acceleration of car A (aA) = 7000 km/h2 Velocity of…

Q: Draw the Venn Diagram and write your answer in set roster notation. 5 pts A={1,2,3,4} B ={1,3,5,7}…

A: Venn diagrams are used to establish relation between things or a finite group of things with the…

Q: Ultimate goal: Determine the angular velocity of the pendulum when it rotates clockwise 90 degrees.

Q: 4 cos x Find f'(x) if f(x) = 4+sin x

A: The differention problem can be sloved by using the (u/v) rule of differentiation. differentiation…

Q: The A kg collar is initially at rest on the bar at position 1 as shown in Figure Q2. The coefficient…

Q: igit of matrix no is (8) fifth digit of matrix no is (0) so A;8 and B;0

A: P1=65B5N=6505NdAB=30mmtAB=1Amm=18mmdBC=50mmtBC=9mmA=8B=0 To-Find:- a) σAB Normal-stress=?b) P2=?c)…

Q: The velocity field of 2-D steady incompressible flow is given by V= yi-xj Determine the circulation…

A: Note:As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: This is the photograph of the of the dial knob for transverse motion of the table. It has 250…

A: Given The number of divisions on the dial knob .⇒n=250value of each division is⇒S=0.001''

Q: id=6 k=1.2

Q: Part 2 A Pratt roof truss is loaded as shown. Using the method of joints and the method of sections,…

A: “Since you have asked multiple question, we will solve the second question for you. If you want any…

Q: Given, HRB = 4X Find BHN. Given, HRC = 3X %3D Find BHN.

A: Hardness : it is the property of the any material that tell the resistance ability to abrasion or…

Q: Practice Problem 3.4.5: The resultant of the three concurrent 900 lb forces acting on the eyebolt is…

A: For the given eye bolt Resultant of all concurrent forces is R = 800 j^ To determine- The…

Q: (b) A plastic rod AB of length L= 5C0 mm has a diameter d, = 30 mm as shown in Figure Q2(b). A…

Q: (b) A plastic rod AB of length L =510 mm has a diameter d, = 30 mm as shown in Figure Q2(b). A…

Q: Express Fas a vector in terms of the unit vectors i, j, and k. Determine the angle between Fand the…

Concept explainers

Numerical Calculations

In the mid-20th century, the availability and the growth in power of digital computers led to the increase in the mathematical model in the field of engineering and science. The analysis of these detailed models needs to be increased.

Question

the value of figure is not 6+b/10.True value is 6+a/10.

a = 6

Question 1. The homogeneous gate shown in Figure consists of one quarter of a circular cylinder
and is used to maintain a water depth of 6+a/10 m. That is, when the water depth exceeds 6 + a/10 m,
the gate opens slightly and lets the water flow under it. Determine the weight of the gate per meter
of length. (y-9,81 KN/m³).
Pivot
6+ b/10 m
2+ a/10m
4R
3x
= = 0.05488R
I =-0.01647R
Hint: le) Quarter-circle

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The right one
A trough whose cross section is a trapezoid is b = 4 m across at the bottom, a = 6 m across at the top, and 3 m deep. If the trough is filled to 1 m with water, what is the force due to water pressure on one end of the trough? с b (Hint: Using SI units, pg = 9800 N/m³.) (Use decimal notation. Give your answer to two decimal places.)
The rectangular gate is 0.85 cm wide into the paper, h = 80 cm, and z =3.0 m. Answer the questions 3&4 Water Z 4 What is Vertical distance between water surface and the center of pressure (m)? 2.457 2.541 2.713 2.796 2.626 Not listed A B 45°
1.) Water backs up behind a concrete dam as shown in the figure. Leakage under the foundation gives a pressure distribution under the dam as indicated. If the water depth, h, is too great, the dam will topple over about its toe (point A). Base on a per unit length analysis of the dam with specific weight of the concrete as 150 lb/ft³, determine the maximum water depth for the following widths of the dam. L = 30 ft. Water 80 ft Water h,= 10 ft PA= yh Pg=yh
Q1/ This rectangular gate shown in Fig.1 below will open automatically when the depth of water (d) becomes large enough. What is the minimum depth that will cause the gate to open? Fig. (1) 22 200 N 60 -45 m (x 2.4 m)-
A trough whose cross section is a trapezoid is b = 8 m across at the bottom, a = 12 m across at the top, and 4 m deep. If the trough is filled to 1 m with water, what is the force due to water pressure on one end of the trough? F a C (Hint: Using SI units, pg = 9800 N/m³.) (Use decimal notation. Give your answer to two decimal places.) Incorrect b 55533.33 N
1- The flow of water from a reservoir is controlled by a5-ft-wide L-shaped gate hinged at point A, as shown in Fig. If it is desired that the gate open when the water height is 12 ft, determine the hydrostatic and find its point of acting. (w for water = 62.4 Ib: /ft') Gate Is n 12
A tainter semicircular gate is shown in the figure. Considering a ft wide strip, determine the Resultant Force in lbs. Unit Wt of water - 62.4 lbs/cu.ft. RADIUS = 5 ft LENGTH= 2.5 ft RADIUS 4.117.65 8.591.15 3.631.09 5.228.77
3
Q3) Compute the horizontal and vertical components of the water pressure acting on the face of tainter gate AB of 72° sector of radius 25 ft as shown in Fig.2.Take the width of the gate as unity. The specific weight of water = 62.4 Ib/ft³. 25ft Water C 25-ft radius 36° + 36⁰
The massless, 4-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It is held in place by the 2000 lb counterweight, W. Determine the water depth, h. Consider "Ib" as the unit of force and the specific weight of water as y=pg=62.4 lb/ft'. Water Gate - Pivot O Width = 4 ft 2 It -3 ft
Plz solve correctly