The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per

Question:

The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per horizontal foot. It can be shown that if H is the horizontal tension of the cable at the origin, then the curve of the cable satisfies the equation

Show that the cable hangs in a parabola by solving this differential equation subject to the initial condition that y = 0 when x = 0.

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

Step by Step Answer:

Related Book For answer-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

See More Books

Question Posted: May 07, 2023 01:55 AM

See More Questions

The main cables of a suspension bridge [see part (a) of the figure] follow a curve that is nearly parabolic because the primary load on the cables is the weight of the bridge deck, which is uniform...
A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of two C 8 x 11.5 sections (channel sections or C shapes) on either side of a 4 x 8 (actual...
The beam AB shown in the figure supports a uniform load of intensity 3000 N/m acting over half the length of the beam. The beam rests on a foundation that produces a uniformly distributed load over...
Find the area under one arch of the cycloid x = a(t - sin t), y = a(1 - cos t).
Fire Out Company manufactures its product, Vitadrink, through two manufacturing processes: Mixing and Packaging. All materials are entered at the beginning of each process. On October 1, 2017,...
Early in your first audit of Star Corporation, you notice that sales and year-end inventory are almost unchanged from the prior year. However, cost of goods sold is less than in the preceding year,...
What are some of the nonverbal clues to deception?
Vin Diesel owns the Fredonia Barber Shop. He employs four barbers and pays each a base rate of $1,250 per month. One of the barbers serves as the manager and receives an extra $500 per month. In...
A violet ray of light leaves a medium with refractive index of 6.46 at an angle of 0.07 radians to the normal and enters a second medium with refractive index of 22.04. At what angle to the normal...
CASE #3 SUPPLY CHAIN MANAGEMENT LEARNING OBJECTIVES 1 Definition and main terms of Supply Chain Management in organization. 2 Definition of Supply Chain Manager and description of the main duties...
Graph the lines and conic section. r = 4 sec ( + /6)
Replace the Cartesian equations with equivalent polar equations. (x - 3) 2 + (y + 1) 2 = 4
For each pair of functions, find (g)(x). f(x)=x-7, g(x) = 4x + 5
May 15 The Nov soybean price is $6.75/bu and a producer's expected basis is - $0.20. Put options for Nov beans are trading at 61 c/bu for the $6.45 strike price, and 63 c/bu for the $6.35 strike...
Find the x - values of the points at which f ( x ) = ( 1 5 ) x 5 - ( 2 3 ) x 3 + x has a relative extrema.
Jamie went out to dinner and paid a total of $42.00, which include amount due plus a $7.00 tip. What percent of the amount due represent?
Upload to Canvas Page 1 > of 11 Computer Science The goal of this lab is two-fold. First, you'll gain experience in writing a class, and creating several instances of an object defined in that class....
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?
Several years ago, Agnes and Wyman Booth bought a home for $ 200,000. They lived in the home for 10 years and then moved into an apartment. Unable to immediately sell the home, starting in 2010 they...
Determine the values of the given trigonometric functions directly on a calculator. The angles are approximate. tan 0.8035
The limit represents f(c) for a function f and a number c. Find f and c. lim -x + 36 9- x 9-x
Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f(x) = 1/4 x 2 x + y = 0
The limit represents f(c) for a function f and a number c. Find f and c. lim .x - 0 [5 - 3(1 + Ax)] - 2
QS 2-7 (Algo) Computing T-account balance LO C2 Determine the ending balance of each of the following T-accounts. Cash Accounts Payable 270 220 3,700 13,100 470 230 5,900 190 Supplies 11,700 2,800...
Accounts Payable Accounts Receivable Cash (balance on January 1, 2021) Cash (balance on December 31, 2021) $ 45,000 22,800 103,500 102,800 Common Stock 180,500 Dividends Equipment 0 136,700 Income...
Define overweight and obesity. Discuss strategies for the prevention and control of overweight and obesity in populations

The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per

Question:

dy dx || W HX.

Step by Step Answer:

To show that the cable hangs in a parabola we need to solve the given differential equation and demo...View the full answer

Thomas Calculus Early Transcendentals

Students also viewed these Mathematics questions