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

Expansion processes of a perfect gasassignment1 attend the

Expansion Processes of a Perfect Gas Assignment: 1. Attend the laboratory class and complete the lab tests according to the supervisor's requirement. Students will not allowed to submit their report if they do not come t ...

5star questions amp answers1a define heat treatment bname

5 STAR QUESTIONS & Answers 1. A) Define Heat treatment B) Name different types of heat treatment processes C) Write any 4 purposes of Heat treatment 2. Explain various Heat treatment processes 3. A) Compare Thermo plasti ...

Materials behaviour from atoms to bridges assignment -

Materials Behaviour from Atoms to Bridges Assignment - Distributed loads and static equilibrium (Please note: you should show your steps with necessary figures) Q1. Two beam sections are jointed at C and supported at A b ...

Problem on shaft -assuming no frictional losses a torque of

Problem on Shaft - Assuming no frictional losses, a torque of T = 750lb·in is applied through the shaft of gear F in order to drive the roller chain at point B at a constant speed. The chain sprocket has a pitch diameter ...

Mechanical engineering assignment task - solve the given

Mechanical Engineering Assignment Task - Solve the given problem. Task 1 - A spring with a one-turn loop of 40mm mean radius is formed from a round section of wire having 5 mm diameter. The straight tangential legs of th ...

Life cycle assessmentfor your chosen service eg white board

LIFE CYCLE ASSESSMENT For your chosen service (e.g. white board markers), identify two alternatives of getting the service (e.g. brand A, brand B). Choose the most environmentally friendly option by conducting life cycle ...

Structural mechanics questions -q1 a 150-lb bucket is

Structural Mechanics Questions - Q1. A 150-lb bucket is suspended from a cable on the wooden frame. Determine the resultant internal loadings on the cross section at D, and at E. Q2. The shaft is supported at its ends by ...

Question - truss structureconsider the three membered

Question - Truss Structure Consider the three membered planar truss structure shown in the figure below. All members of the truss have identical square cross-sectional area (A) of 25 mm x 25 mm, and Youngs Modulus (E) = ...

Alocate ten minutes for the presentationuse audio visual

Allocate ten minutes for the presentation Use audio / visual / technological supports / aids where appropriate Use a minimum of 3 properly referenced articles. THEMES PRESENTATION TOPIC MEMORY Discuss the three learning ...

The aim of the project is to demonstrate certain aspects of

The aim of the project is to demonstrate certain aspects of engineering materials in different applications. The projects will be assessed on the basis of a written Research Report. The report should clearly show what yo ...

  • 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

Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

Compute the present value of an 1150 payment made in ten

Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As