Using Mohrs circle, show that for any regular polygon (such as a pentagon) (a) The moment of

Question:

Using Mohr’s 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 respect to every pair of rectangular axes through the centroid is zero.

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

Step by Step Answer:

Related Book For book-img-for-question

Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

See More Books

Question Posted: Sep 17, 2010 02:55 AM

See More Questions

Determine for the shaded region the area and the moment of inertia with respect to the centroidal axis parallel to BB knowing that d 1 = 1.25 in. and d 2 = 0.75 in. and that the moments of inertia...
Determine by direct integration the moment of inertia with respect to the x axis of the tetrahedron shown assuming that it has a uniform density and a mass m.
Determine the moment of inertia with respect to the x axis for the circular area shown y (-, ), (, ) dy y a x + y? = a?
The strike price of a compensation option is generally set on the day the option is issued. On November 10, 2000, the CEO of Analog Devices, Jerald Fishman, received 600,000 options. The stock price...
During the past year, the high and low use of three different resources for Bearskin Airlines occurred in July and April. The resources are airplane depreciation, fuel, and airplane maintenance. The...
Consider an Exponential random variable X with parameter > 0. Let Y = [X], which means we get Y by rounding X down to the barest integer (in particular, Y itself is a discrete random variable,...
Provide examples of Web services and discuss the contribution of Web services to the efficiency of information systems.
Describe the institutional process for establishing generally accepted accounting principles for the federal government.
You have completed ACCT Advanced Tax. Four of your friends recognize that you are now a legal and tax expert. They ask you for advice as to whether they should form an S Corporation. Is the S Corp...
Skylar and Walter Black have been married for 25 years. They live at 883 Scrub Brush Street, Apt. 52B, Las Vegas, NV 89125. Skylar is a stay-at-home parent and Walt is a high school teacher. His W-2...
It is known that for a given area Iy = 300 in4 and Ixy = 125 in4, where the x and y axes are rectangular centroidal axes. If the axis corresponding to the maximum product of inertia is obtained by...
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,...
In Problems 1958, summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). f(x) = 2x - 4 x + 2
State the date (or dates) on which corporation tax is due for payment in relation to the following periods of account: (a) the year to 31 March 2018 (b) the six months to 30 November 2017 (c) the 21...
Sebastian is self-employed. He drives a ca r with an emission rating of 19 8 g/km and he charges the cost of all the petrol used to his business bank account . In the quarter to 31 July 2017 , he...
Tony died on 11 July 2017, leaving an estate valued at 9 00,000. None of the transfers made on his death were exempt from IHT. He had made the following transfers during his lifetime: 3 May 2009 1...
On 12 November 2007 , Hazel made a gross chargeable transfer to a relevant property trust of 266,000 (after deduction of exemptions). On 1 April 2013 she gave 300,000 to her grandson. These were her...
Explain the VAT consequences of a UK business: (a) buying goods from (or selling goods to) another EU country (b) importing goods from a non-EU country (c) exporting goods to a non-EU country.
At December 31, 2018, Zimts total assets balance would most likely be: A. highest if Zimt is deemed to have control of Oxbow. B. highest if Zimt is deemed to have signifi cant infl uence over Oxbow....
Derive Eq. (18.33) from Eq. (18.32).
Acetaminophen, an analgesic and antipyretic drug, has a molecular mass of 151.2 u and a mass percent composition of 63.56% C, 6.00% H, 9.27% N, and 21.17% O. What is the molecular formula of...
Discuss some advantages and some disadvantages of the particular page-table structure used in Windows 2000.
What is the purpose of a prototype page-table entry in Windows 2000?
What changes would be needed for Windows 2000 to run a process that uses a 64-bit address space?
exploration of the history of street art and its controversies of ppt/quicktime video.
Solve the following problems. Reduce answers to their lowest terms. Box your answers. 1 5 1.+ -= 4 12 2 2.- + 3 9 = 11 Convert improper fractions to mixed numbers. 2 11 3. + == 5 12 4 4 4. 12 7 5.35...
When average consumer income increased by 6%, BakeCo oven cleaner sales increased from 21,000 units to 22,500 units. Given this information,what is income elasticity for BakeCo oven cleaner ?

Using Mohrs circle, show that for any regular polygon (such as a pentagon) (a) The moment of

Question:

Step by Step Answer:

Ixy 11MN AVE II 54 ixI MAX Js Iy Consider the regular pentagon shown with centroidal ...View the full answer

Vector Mechanics for Engineers Statics and Dynamics

Students also viewed these Mechanical Engineering questions