Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Mechanical Engineering Expert

problem: Consider the triangular laminar D for given b and h shown below:

1617_triangular laminar.jpg

a) Find xL(s) and xR(s), the left and right ends of the elementary strip, of thickness ds, a distance s from the x-axis. Hence gives its width w(s) and the corresponding form for 1/2 [xR(s) + xL(s)].

b) Find, by direct integration, the area, A, of the lamina. Note we can regard the lamina as a rectangle from which two right-angled triangles are removed.

c) Find, by direct integration, the first moments of area, As|O, Ax|O, of the laminar. Hence find the position (xc; sc) of the centroid C relative to O.

d) Find, by direct integration, the second moments of area, Ass|O ; Axs|O of the laminar. Hence, using the parallel axis theorem, obtain Ass|C and Axs|C.

e) Suppose the triangular lamina is part of a vertical wall that separates fluid of density 1/2 from air at atmospheric pressure, p0. Also gravity, of acceleration g, acts in the downward vertical s-direction with the horizontal x-axis (s = 0) lying a depth s1 below the free surface. Find

i) The (resultant) hydrostatic force FN(s1) acting on the lamina.
ii) The total moments of hydrostatic force Ms and Mx about the x and s-axes.
iii) The position (¹x; ¹ s), of the centre of pressure CP relative to the origin O.
iv) Show that the centroid and centre of pressure lie on the same line.

problem: In the system shown below, the force exerted by the free jet issuing from the sharp-edged circular nozzle and impinging on the small circular plate is just sufficient to keep the (isosceles) triangular door closed against the water pressure. The depth of the water in the tank is kept fixed by using top-up water. The mass of the arm, the circular plate and door are negligible. The door and the plate are each rigidly fixed to the arm, through their centroids.

563_jet system.jpg

Neglect friction in both the water flow and the pivot, and take ρ = 1000 kg/m3 the density of water, and g = 9:81m/s2 the acceleration due to gravity. Give full details of your assumptions, symbolic working and numerical calculations.

(a) Neglecting fluid motion (you can use results from Qu. 1) find (i) the horizontal hydrostatic force FN acting on the door, and (ii) the line of action of the hydrostatic force.

(b) Using Bernoulli's equation find the jet speed VJ.

(c) Draw a control volume focused only on the circular plate, and analyzes the linear momentum equation to find the horizontal hydrodynamic force FR acting on the plate in terms of nozzle diameter d.

(d) Finally, use moments to find the value of the diameter d.

Mechanical Engineering, Engineering

  • Category:- Mechanical Engineering
  • Reference No.:- M9126

Have any Question? 


Related Questions in Mechanical Engineering

A cubical piece of wood with an edge l in length floats in

A cubical piece of wood with an edge L in length floats in the water. The specific gravity of the wood is 0.90. What moment M is required to hold the cube in the position shown? The right-hand edge of the block is flush ...

1 water in a container is originally at 100 kpa the water

1. Water in a container is originally at 100 kPa. The water is subjected to a pressure of 120 MPa. Determine the percentage decrease in its volume. 2. Determine the height to which water at 68°C will rise in a clean capi ...

A potential flow source having an intensity of 10m2s placed

A potential flow source having an intensity of 10m2/s, placed in the point of Cartesian coordinates (1;0), and a sink having identical intensity, placed in the point (-1;0), are combined with a uniform flow at 25 m/s, in ...

Why is a combination of torque and angle measurement or

Why is a combination of torque and angle measurement or control so popular in mass production operations? What is meant by window control? What is meant by yield control in mass production applications? Does tightening a ...

A simply supported beam of length l is subjected to loads

A simply supported beam of length L is subjected to loads that produce a symmetric deflection curve with maximum deflection at the midpoint of the span. How much strain energy U is stored in the beam if the deflection cu ...

Name several ways by which the loss of initial preload can

Name several ways by which the loss of initial preload can be reduced ? Roughly how much embedment relaxation could we expect from new parts used in a non-gasketed, steel joint? Define elastic interactions. How can elast ...

A w10 times 45 beam is made of structural steel and used as

A W10 × 45 beam is made of structural steel and used as a column with a length 15 ft. If its ends are fixed, can the column support the critical load without yielding? (Thedesignation W10 × 45 provides specifications abo ...

Rework given problem if the plates are circular and have

Rework given Problem. if the plates are circular and have radius L. Problem :- Two very long parallel plates of length 2L are separated a distance b. The upper plate moves downward at a constant rate V. A fluid fills the ...

We have the task to design an industrial lift table

We have the task to design an industrial lift table according to the following principle sketch where L = 1200 mm. We should be able to control the table height between 320 mm (min height) to 1040 mm (max height), with t ...

In problem compute the upward force on the device from

In Problem, compute the upward force on the device from water and air. Use the results of Problem as well as any other data given in that problem that you may need. Explain why you cannot profitably use Bernoulli's equat ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro