A trough of capacity 1m 3 is to be made from sheet metal in the shape shown

Question:

A trough of capacity 1m³ is to be made from sheet metal in the shape shown in Figure 9.28. Calculate the dimensions that use the least amount of metal.

2(1 + Y cos 0)Y sin 0+ (2Y+1) Z [(1 + Y cos 0)Y Z sin 012/3

Figure 9.28

xm 0 zm

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

See More Books

Question Posted: Jan 16, 2024 03:01 AM

See More Questions

Start of Payroll Project 7-3a October 9, 20-- No. 1 The first payroll in October covered the two workweeks that ended on September 26 and October 3. This payroll transaction has been entered for you...
The first payroll in October covered the two workweeks that ended on September 26 and October 3. This payroll transaction has been entered for you in the payroll register, the employees' earnings...
The perimeter of an ellipse depends on the lengths of its major and minor axes, and is given by and E is the function whose graph is given in Figure 2.109. (a) Calculate the perimeter of the ellipse...
According to data released by the World Bank, the mean PM10 (particulate matter) concentration for the city of Kabul, Afghanistan, in 1999 was 46. Suppose that because of efforts to improve air...
You have been given the task of determining the standard heat of the reaction in which calcium chloride hexahydrate is formed from anhydrous calcium chloride: CaCl 2 (s) + 6 H 2 O (l) CaCl 2 6H 2...
What is a sustainable growth rate? How is it useful to a forensic accountant?
P2-4 Journal entries for interim acquisition and extraordinary gains Ahmad Corporation paid $350,000 for a 30 percent interest in Fakhry Corporation on July 1, 2016, when Fakhry Corporations common...
Kate's Kite Company (a corporation) sells and repairs kites from manufacturers around the world. Its stores are located in rented space in malls and shopping centers. During its first month of...
Evaluate the following argument using empirical evidence where appropriate: the stakeholder model is a better approach compared to the principal-agent model of corporate governance. (1000 words pls)
Find the critical points of the function and identify the character of each point. z=12xy - 3 - x3
Show that the function has one maximum and four saddle points. Sketch the part of the surface z = f(x, y) that lies in the first quadrant. f(x, y) = xy? 5r 8ry 5y
Fenster Corporation manufactures windows with wood and metal frames. Fenster has three departments: glass, wood, and metal. The glass department makes the window glass and sends it to either the wood...
Beginning with Eq. (11.16), prove that Data from Eq. 11.16 Data from Eq. 11.21 where we have defined D8 = - 3 2 F = FiFi T = F + F + F Y = F8. 3 Show that this leads to Eq. (11.21) with the...
Consider the light bulb that is the object in Figure 33.28. If you move the bulb to the left, does the image shift left, shift right, or stay in the same place? Data from Figure 33.28 (a) The three...
Two models of light emitted from a light bulb are illustrated in Figure P33.5. (a) Describe the difference in the behavior of light in each model. (b) Describe an experiment that can determine which...
Parallel red and green laser rays are incident on a glass slab as shown in Figure P33.24. Sketch the rays as they pass through the slab and after they have entered the air to the right of the slab....
Consider the following five operations: constructing a luxury cruise ship, operating a casual dining restaurant, staging a professional sports match, manufacturing a patented drug, and rescuing...
Use the candlestick chart to answer the questions below. a. What was the approximate low on June 20? b. What was the approximate high on this date? c. What was the difference between the opening...
Complete the following acid-base reactions: (a) HCCH + NaH
The material of which each of three shafts is made has a yield stress of Ï Y and a shear modulus of G. Determine which shaft geometry will resist the largest torque without yielding. What...
A portion of an airplane fuselage can be approximated by the cross section shown. If the thickness of its 2014-T6-aluminum skin is 10 mm, determine the maximum wing torque T that can be applied if...
The A-36 steel circular tube is subjected to a torque of 10 kN # m. Determine the shear stress at the mean radius Ï = 60 mm and calculate the angle of twist of the tube if it is 4 m long and...
Los siguientes datos corresponden a las operaciones de Turk Company el ao pasado: Ventas $ 900 000 Utilidad operativa neta $ 36 000 Margen de contribucin $ 150 000 Activos operativos promedio $ 180...
Problem 16-16 Tax Shields (LO2) River Cruises is all-equity-financed with 53,000 shares. It now proposes to issue $280,000 of debt at an interest rate of 12% and to use the proceeds to repurchase...
In a process costing system, companies use predetermined overhead rates to apply overhead

A trough of capacity 1m 3 is to be made from sheet metal in the shape shown

Question:

2(1+Y cos 0)Y sin 0 + (2Y+1) Z [(1 + Y cos 0)Y Z sin 012/3

Step by Step Answer:

Area of sheet metal required A m is given by Substitution in 1 gives Axz 2yz ...View the full answer

Modern Engineering Mathematics

Students also viewed these Sciences questions