First consider the upper half of the gate. Based on the drawing below, which expression is correct for the force element fper unit width that is acting on an area element dA = Rd0?Note that the area is also per unit width into the page.h - RdAIRsin 0R IRcos 0Rsin 0 Homework due Dec 14, 2021 21:30 ISTair, PawaterreservoirhRBearing, OFThe diagram above shows a water reservoir with an S-shaped gate at the bottom. Given h, R, 9, and the water density p,the steps in this problem will walk you through determining the horizontal force F per unit length normal to the paperrequired to keep the S-shape gate closed. Neglect friction in bearing O.

given; radius=Rdensity=ρheight=h

First consider the upper half of the gate. Based on the drawing below, which expression is correct for the force element f per unit width that is acting on an area element dA = Rd0? Note that the area is also per unit width into the page. h - R f dA IRsin 0 R Rcos 0 Rsin 0

First consider the upper half of the gate. Based on the drawing below, which expression is correct for the force element f per unit width that is acting on an area element dA = Rd0? Note that the area is also per unit width into the page. h - R f dA IRsin 0 R Rcos 0 Rsin 0

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.35P: The weight of the cylindrical tank is negligible in comparison to the weight of water it contains...

See similar textbooks

Related questions

Q: number of degrees

A: Given; A planar mechanism has ;Links, l=6Joints, j=12We have to find the DOF using grublers criterio...

Q: In this figure is a strut and a cable which was use to lift a body. If the strut and a cable has a s...

Q: 2. A mass of 0.10 slug in space is subjected to an external vertical force of 3 lb. If the local g=3...

A: As per given Mass=0.10slug Vertical forces =3lb g=32.2ft/s2 We have determine vertical forces upwar...

Q: "ROBLEM .. Determine the magnitude and type of axial stress of the 1/8 inch wire and of the ¼ in. ba...

Q: a)The photon energy of a CO2 laser is 0.117eV. Calculate the wavelength of the laser ( please show t...

A: Given data: Energy of CO2 photon = 0.117 eV

Q: A box is released from rest at the position shown. Determine its speed (m/s) after traveling 1.4m al...

Q: Fig 2 40 20 4o 40 120

Q: The rigid horizontal bar ABC of negligible mass is connected to two rods as shown in the figure. If ...

Q: A particle of mass m is at rest at the end of the spring (force constant k) hanging from a fixed sup...

A: Write the expression of applied force to the mass at time t. F1=Fcosωot Write the expression of appl...

Q: Suppose you're standing on the ground and throw a frisbee. You want the expression for the accelerat...

Q: Determine the thermal conductivity.

A: M1 => K = 15Q42.3-32.8=15Q9.5 M2 => K = 25Q41.9-32.7=25Q9.2 M3 => K = 35Q39-32.7=35Q6.3 M4 ...

Q: What is the solar radiation on a horizontal surface in the absence of the atmosphere at latitude 36°...

A: Given; Date = March 15 latitude = 36°N

Q: Problem 1.3 -A force F is applied to one end of a cable of length L. The other end of the cable is t...

A: Given Data The length of the wrench is: L=200 mm The angle of force acting on the wrench is: α=30° ...

Q: For the flow of an incompressible fluid, the velocity in x-direction u ax by and velocity in z direc...

A: We have, Velocity of flow of an incompressible fluid in x-direction is u=ax2+by Velocity of flow of ...

Q: Consider a cylindrical nickel wire 1.6 mm in diameter and 3.5 × 104 mm long. Calculate its elongatio...

Q: A rectangular block of material is subjected to a shear stress of 30MN/m2 together with it's associa...

A: The calculated magnitude of the stresses on a plane is inclined at 30 degrees to the direction of ap...

Q: A load is applied to a rigid bar that is symmetrically supported by three steel rods, as shown. The ...

A: here the cross- section of the rod is A A= 1.2 in2 stress = 22000 psi

Q: Thermal Conductivity of Skin" Design experiments and calculate heat transfer coefficients/thermal co...

A: Thermal management of the system, which consists of epidermal electronics devices (EEDs) and skin, i...

Q: I. For the truss below, compute for the support reactions. (Note that loads are perpendicular with t...

A: A truss could be a structure that consists of members organized into connected triangles so the gene...

Q: 3. The bar in the figure is connected to the support using a pin having a diameter of 1.25 in. If th...

A: As per given question Diameter of pin =1.25in Axial stress of bar =18 ksi Bearing stress =28ksi We ...

Q: A 3 m³ tank initially contains a mixture of saturated steam and saturated liquid at 3400 kPa. Of the...

A: At 3400 KPa vf= specific volume of liquid= 0.001229 m3/kg vg= specific volume of vapour= 0.059654 m3...

Q: An Otto cycle operates on 0.1 lb/s of air 13 psia and 130°F at the beginning of compression. The tem...

A: Given Datam˙=0.1lb/sP1=13psiaT1=130+460=590°RT3=5000°Rrk=5.5{taken}k=1.3

Q: 1-2. A force of 80 N is supported by the bracket as shown. Determine the resultant internal loadings...

Q: The final sfeady state

A: Given; A steel ball of mass,m=3kgSpecific heat,c=0.4 KJ/ kg KTemperature,T=400CMass of water, mw=3 k...

Q: Q3. For two plates 1 and 2 a riveted system is suggested to connect them. Where the thickness of pla...

A: Given Data The diameter of the rivet is: d=10 mm The pitch of the rivet is: p=50 mm For the plate 1...

Q: F2-5. The force F= 450 lb acts on the frame. Resolve this force into components acting along members...

Q: refrigerator B00 K. Its

Q: A vapor-compression refrigeration cycle using ammonia as working fluid has a refrigerating capacity ...

Q: s 80 kJ of 70 kJ of he

Q: A 1kW pump is used to transfer water in a long horizontal pipeline with the discharge of 3 litres's....

Q: In a rolling operation using rolls of diameter 400mm if a 35mm thick plate cannot be reduced to less...

Q: Locate the centroid y¯ of the area. Take b = 9 in , h = 10 in . (Figure 1) Express your answer to th...

Q: A Carnot power cycle operates on 2 lb of air between the limits of 70°F and 500°F. The pressure at t...

Q: A 2404 lb car is moving up a 7 degree incline as shown. Determine how many seconds will it take for ...

Q: Explain and draw the right procedure of suction piping installation for a negative lift and positive...

A: Installation: You can either bring in a manufacturer-authorized technician to do the installation or...

Q: The composite wall of an oven consists of three materials, two of which has known thermal conductivi...

Q: Consider a cylindrical specimen of a steel alloy 8.9 mm (0.3504 in.) in diameter and 71 mm (2.795 in...

Q: A) Draw the neat diagram of the Double acting and triple acting reciprocating pumps. Label all the p...

A: Double acting reciprocating pump: Triple acting reciprocating pump:

Q: y (t) = 0.12t³ – 6.75t* + 135t3 – 1120t + 3200t + 9000

A: For Maximum Altitude, ∫0.12t5-6.75t4+135t31120t2+3200t+9000 =(5×0.12t4)-(4×6.75t3)+(3×135t2)-(2×1120...

Q: the shaded area shown in the figure below (fig 2). te the coordinates of center of gravity using the...

Q: Please be clear with your solution. Make an explanation for the formula and solution you used. Prob...

A: To find normal force to be applied

Q: 900 N/m A |B 400 N/m

Q: Answer part e to h.

A: Calculated pressure temperature and volume of at the state 2, 3 and 4. And calculate heat rejected a...

Q: A six inch diameter cylinder with a two inch rod pushes out its full stroke of 20 inches in 1.5 seco...

A: Forward stroke Area : π462-22=25.13 in2 Volume : V=A×L=502.65 in3 Flow rate : Q=Vt=335.1 in3/s Press...

Q: ntal thrust H' at each support.

A: given:

Q: Task: 1. Discuss the fundamental concept and analyse the operation of Automatic Flight Control Syste...

A: Given Aircraft Flight Control System To find Concept Operation

Q: In a gear box input torque is measured to be 1 kNm at a speed of 1440 rpm. Gear box has unknown arra...

Q: Heat transfer through the walls can be considered as steady under the assumption that the highest te...

A: Given :- Heat transfer through the walls can be considered as steady under the assumption that the ...

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to th...

Q: determine the moment that is formed due F at the origin. you must use a SCALAR method. However expr...

A: Given data: F=40 lbs Need to determine the moment about the origin.

Question

First consider the upper half of the gate. Based on the drawing below, which expression is correct for the force element f
per unit width that is acting on an area element dA = Rd0?
Note that the area is also per unit width into the page.
h - R
dA
IRsin 0
R I
Rcos 0
Rsin 0

Homework due Dec 14, 2021 21:30 IST
air, Pa
water
reservoir
h
R
Bearing, O
F
The diagram above shows a water reservoir with an S-shaped gate at the bottom. Given h, R, 9, and the water density p,
the steps in this problem will walk you through determining the horizontal force F per unit length normal to the paper
required to keep the S-shape gate closed. Neglect friction in bearing O.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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

For the tank of water shown below, the radius of the circular surface is R=1.0 m, h=1.0m, and the length of the tank is w=2.0 m. Determine (1) the correct expression of the area magnitude whose volume weight is equivalent to the vertical force exerted on the whole curved surfaces_________
The figure below shows a block of wood with total height H, submerged height h and square base with side b = 0.41 m, floating in a tank with water. a) Knowing that the wood density is d = 0.75, calculate: a) the ratio between the submerged height h and the total height of block H; b) the metacentric height, in meters, for the block to float, in the indicated configuration, with indifferent balance (critical); c) the value of H for the same situation as the previous item (indicate the unit).
For the tank of water shown below, the radius of the circular surface is R=1.0 m, h=1.0m, and the length of the tank is w=2.0 m. Determine (1) the correct expression of the area magnitude whose volume weight is equivalent to the vertical force exerted on the whole curved surfaces_________ A. B. C. D.
An open horizontal tank 3 m high, 3.5 m wide and 6 m long is initially filled at 2 m of water. a. Determine the required acceleration in m/s2 so that no water will be spilled? b. Determine the required acceleration m/s2 so that 1/3 of the initial volume of water will be spilled. c. Determine the remaining volume in cu.m. if it accelerated at 7 m/s^2. d. Determine the minimum hydrostatic force in kN at the side of the tank if 2/3 of the initial volume will be spilled. e. Determine the maximum hydrostatic force in kN at the side of the tank if it accelerates at 3 m/s^2
An oil tanker 3m wide 2 m deep and 10 m long contains oil of density 800 kg/m3, if the tanker is closed and completely filled with the oil and accelerated horizontally at 3m/s2. a.) determine the total liquid thrust (hydrostatic force) on the front end. (in kN) b.) determine the total liquid thrust (hydrostatic force) on the rear end. (in kN)
A solid cone of angle 2θ, mass (m), base radius (r0), and density (ρc), is rotating with angular velocity (w0) on its conical seat. The clearance (h) is filled with oil of viscosity (μ). Neglecting air resistance, determine: a) an expression for the moment (M) as a function of r0, w0,μ,θ, and h. b) an expression for the angular velocity (w) for t≥0 as a function of w0,μ,θ,h, r0,m and t if an external torque is not applied. If the radius of gyration of the cone is 16 cm, determine: c ) the value of the angular momentum and velocity if w0=60RPM,h=0.05mm,θ=30°,μ=0.98cPoise , m=20kg, t=2.0s
A car ferry is essentially rectangular with dimensions 25 ft wide and 300 ft long. If 60 cars, withan average weight per car of 3000 lb, are loaded on the ferry, how much farther will it sink intothe water?
A tank of water 4 m deep receives a constant upwardacceleration a z . Determine ( a ) the gage pressure at the tankbottom if a z = 5 m 2 /s and ( b ) the value of a z that causes thegage pressure at the tank bottom to be 1 atm.
A tanker contained with water is pushed horizontally at constant acceleration of 5.0 m/s?. If the tank is 10 m long and the depth of the water is 3 m when at rest, Calculate; a) The angle of water surface to the horizontal. b) The maximum pressure intensity on the bottom
Assuming specific weight of air to be constant at 12 N/m3, what is the approximate height of Mount Banahaw if a mercury barometer at the base of the mountain reads 654 mm and at the same instant, another barometer at the top of the mountain reads 480mm.
Find the surface tension of the water droplet of 30 mm diameter when the inside pressure is 3.5 N/m2 The surface tension in N/m is
Piston A has a cross-section of 1,200 cm2 while that of B is 800 cm2. B is higher than A by 200cm. If the intervening passages are filled with oil and a force of PB=4.6kn is acting on B. What must be the pressure in N/m2 exerted at A?