Using Mohrs circle, prove that the expression I x I y I x y is independent
Question:
Using Mohr’s circle, prove that the expression Ix′ Iy′ −Ix′ y′ is independent of the orientation of the x′ and y′ axes, where Ix′, Iy′, and Ix′ y′ represent the moments and product of inertia, respectively, of a given area with respect to a pair of rectangular axes x′ and y′ through a given point O. Also show that the given expression is equal to the square of the length of the tangent drawn from the origin of the coordinate system to Mohr’s circle.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
Ixy O 23 Iy Ixy TAVE R R Ix Ixy Ix Iy Ix Iy First observe that for a given area ...View the full answer
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mechanical Engineering questions
-
Using Mohrs circle, prove that the expression Ix Iy I2x'y' is independent of the orientation of the x and y axes, where Ix' , Iy , and Ixy represent the moments and product of inertia, respectively,...
-
Represent each linear map with respect to each pair of bases. (a) d/dx: Pn Pn with respect to B, B where B = (1, x, . . . , xn), given by a0 + a1x + a2x2 + . . . + anxn a1 + 2a2x + . . . + nanxn-1...
-
The first moment of the shaded area with respect to the x axis is denoted by Qx. (a) Express Qx in terms of r and θ. (b) For what value of θ is Qx maximum, and what is the maximum value?
-
I keep getting the second question wrong. Can you help me to getthat one, please thank you.I tried 8.66, and 8.67 does not are the correct answer A firm has 10 million shares outstanding with a...
-
Gribble AG reported the following amounts in 2019: Net income, 150,000; Unrealized gain related to revaluation of buildings, 10,000; Unrealized loss related to non-trading equity securities,...
-
A hollow, circular, cast-iron pipe (Ec = 12,000 ksi) supports a brass rod (Eb 14,000 ksi) and weight W = 2 kips, as shown. The outside diameter of the pipe is dc = 6 in. (a) If the allowable...
-
Verify the entries in Table 13.8 for the gamma distribution. Specifically: a. Show that the gamma is a member of the linear exponential family of distributions. b. Describe the components of the...
-
Marcus Laramore operates a proprietorship that sells sports memorabilia. It has been in operation for several years and has always used a taxation year that ends on December 31. Marcus business does...
-
(Corporate income tax) The William B. Waugh Corporation is a regional Toyota dealer. The firm sells new and used trucks and is actively involved in the parts business. During the most recent year the...
-
Suppose that Central High School has preferences that can be represented by the utility function U(C,X) = CX2. Let us try to determine how the various plans described in the last problem will affect...
-
Using Mohrs circle, show that for any regular polygon (such as a pentagon) (a) The moment of inertia with respect to every axis through the centroid is the same, (b) The product of inertia with...
-
Using the invariance property established in the preceding problem, express the product of inertia a Ixy of an area A with respect to a pair of rectangular axes through O in terms of the moments of...
-
On September 24, 2007, Miguel Carcamo was going through his mail. For some reason, Miguel had not yet received his bank statement, which he usually received at the beginning of each month. Although...
-
Define virtualization. How does it relate to the cloud?
-
Why should the data access and manipulation classes be dependent on the problem domain classes instead of the other way around?
-
Why is Parkinsons Law relevant to the design of the physical architecture layer?
-
What are the obstacles for provisioning the physical architecture layer with cloud technologies?
-
A Cobb-Douglas production function is Q = 12L.6K.5. What happens to Q if L increases by 1%? If K increases by 1%? What can you say about returns to scale?
-
True or False: Unless non-monetary considerations dictate otherwise, choose the mutually exclusive investment alternative that has the greatest present worth, regardless of the lives of the...
-
Suppose the government bond described in problem 1 above is held for five years and then the savings institution acquiring the bond decides to sell it at a price of $940. Can you figure out the...
-
Suppose that exhibit 12.4 is your practices marketing forecast. Discussion Questions By law, you must charge everyone the same price. What do you charge? Your costs equal $100,000 plus $20 per...
-
A monosloped roof truss is loaded as shown. Determine the force in members EG, GH, and HJ. 1 kN 2 kN 2 kN 2 KN I kN 0.46 m 2.62 m 2.4m 2.4m 2.4 m 2.4 m
-
A Howe scissors roof truss is loaded as shown. Determine the force in members DF, DG, and EG. 1.6 kips 1.6 kips1.6 kips .6 kips 08 kip 14.5 ft CI El G
-
A Howe scissors roof truss is loaded as shown. Determine the force in members GI, HI, and HJ. 1.6 kips 1.6 kips 1.6 kips 1.6 kips .6 kips 08 kip 14.5 ft
-
How do norms intersect with systems of power and privilege, and how do dominant groups reinforce or challenge normative standards to maintain their social position?
-
You are earning $41,000 a year in city with a low cost of living. You are considering taking a job in another city where the cost of living is 15% higher. What is the minimum salary you would need to...
-
Describe qualitative factors that could also complement the ratio analysis and play an important role in improving financial performance.
Study smarter with the SolutionInn App