The route for a proposed road is surveyed. Part of the road is to be on...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The route for a proposed road is surveyed. Part of the road is to be on a parabolic curve given by a function of the form y = ax² + bx + c where x and y are local co-ordinates. The road alignment must pass through the following 3 points: x = 150m, y = 180.650m x = 300m, y = 601.450m x=450m, y = 821.141m a) Substitute each pair of x, y values to produce 3 simultaneous equations with unknowns a, b, and c. 5% b) Solve these simultaneous equations using a matrix method to determine the values of a, b and c and substitute these into the standard form to give the function for the road curve. 10% c) Use this function to determine the y ordinates at x = 350m and the x ordinate at y = 700m. 5% The route for a proposed road is surveyed. Part of the road is to be on a parabolic curve given by a function of the form y = ax² + bx + c where x and y are local co-ordinates. The road alignment must pass through the following 3 points: x = 150m, y = 180.650m x = 300m, y = 601.450m x=450m, y = 821.141m a) Substitute each pair of x, y values to produce 3 simultaneous equations with unknowns a, b, and c. 5% b) Solve these simultaneous equations using a matrix method to determine the values of a, b and c and substitute these into the standard form to give the function for the road curve. 10% c) Use this function to determine the y ordinates at x = 350m and the x ordinate at y = 700m. 5%
Expert Answer:
Answer rating: 100% (QA)
Three equations are obtained in terms of a b c by substituting the three pairs of ... View the full answer
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073398242
11th edition
Authors: Ferdinand Beer, E. Russell Johnston Jr., David Mazurek, Phillip Cornwell, Brian Self
Posted Date:
Students also viewed these mechanical engineering questions
-
Linda worked for Valley Alley Inc. for the last 25 years and is now ready to retire this year at the end of December. The companys pension plan is a Defined Benefit Pension Plan (DBPP). What will be...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Perhaps more surprising to Mr. Pitkin was a proposal by the VP of Marketing to make a major investment in market share by increasing promotional expenditures by $2.5 million during 1998-2000. Sales...
-
What is data mining? What are some popular data mining tools available in market? Why is data mining so important and crucial to E-commerce companies? How does Amazon use data mining applications and...
-
Which requirements address unique product and service test procedures and document the end-state customer experience? Organizational Requirements Technical Requirements Customer Requirements...
-
Use the Hubble expansion relation (9.1.1), the temperature scaling relation (9.1.3), and the energy density relation before the electron-positron annihilation (9.3.6b) to show that the temperature as...
-
On June 1, 2014, Ellie Hopkins established an interior decorating business, First-Class Designs. During the month, Ellie completed the following transactions related to the business: June 1. Ellie...
-
5. Consider uniform, inviscid, supersonic flow exhausting from a rocket engine nozzle. For fixed back pressure p (i.e., the ambient pressure outside the nozzle), qualitatively draw the first few wave...
-
Given That: p : I will finish my project q : I will get good grades Write the (1) converse, (2) inverse, and (3) contrapositive of these statements. (1) (2) (3)
-
Geniaware is considering two capital structures. The key information is shown in the following table. Assume a 24% tax rate. a. Calculate the EBIT-EPS coordinates for each of the structures for EBIT...
-
When PepsiCo acquired Tropicana, a maker of orange juice, the firm's strategy was growth by a. related diversification c. vertical integration b. concentration d. cooperation
-
Which of the following approaches can help groups avoid groupthink in situations where there is a very strong leader? a. Have the leader stay absent from some team meetings. b. Be sure to make...
-
The height of a Binary Search Tree with n nodes in the worst case? o O(n * log n) o O(n) o O(logn) o O(1)
-
As the co-founder of a small outdoor clothing start-up, you have just received an attractive proposal from a business in Tanzania that wants to manufacture cotton textiles for your warm-up suits....
-
Michelle issued 8%, $80,000 bonds on February 1, 2020. The bonds pay interest semiannually each July 31 and January 31 and were issued to yield 7%. The bonds mature January 31, 2030, and the company...
-
PC Contractors, Inc., was an excavating business in Kansas City, Missouri. Union Bank made loans to PC, subject to a perfected security interest in its equipment and other assets, including...
-
Locate the centroid of the plane area shown. , -4 in. -8 in
-
In the position shown, bar DE has a constant angular velocity of 10 rad/s clockwise. Knowing that h = 500 mm, determine (a) The angular velocity of bar FBD, (b) The velocity of Point F. 100 mm 200 mm...
-
An archer aiming at a target is pulling with a 45-lb force on the bowstring. Assuming that the shape of the bow can be approximated by a parabola, determine the internal forces at Point J. 8 in. 16...
-
Explore whether the original Bell inequality can be violated at large angles as well.
-
Consider an EPR state \(|\phiangle_{A B}\); Alice measures the spin on \(z\), then Bob measures it on \(x\), and then Alice measures it again on \(z\). Classify the possible answers for the second...
-
In quantum cosmology, one can define a "wave function of the Universe" \(\Psi[a(t)]\), whose variable is the expanding scale factor of the Universe, \(a(t)\), and which satisfies a general relativity...
Study smarter with the SolutionInn App