The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies; Being Part II. of a Treatise on the Whole Subject
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Biographies & Memoire > Biography and non-fiction prose > Anthologies: general > The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies; Being Part II. of a Treatise on the Whole Subject
The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies; Being Part II. of a Treatise on the Whole Subject

The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies; Being Part II. of a Treatise on the Whole Subject


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 edition. Excerpt: ...1842. Art. 278. 326. To find the Forced Vibration. To find a particular integral for any force Pe'Kt sin (Xt + a) we follow the methods already explained in Chap. VI. If A (8) be the determinant of the motion and /, (6"), 12 (&), &c. be the minors of the first, second, &c. terms in that row of A (8) which corresponds to the equation in which the force occurs, we have x = )Pe-Kt8m(Xt + a), y = Pe-'sin(i4-a), = &c. We shall now prove that these operators lead to two trigonometrical terms in each of the coordinates. These two terms constitute the forced vibration in that coordinate. 327. To perform the operations indicated by these functions of S, we use the following simple rule. To perform the operation F(S) = on PeKt 8ia (t + o) we A (5J cosv' write 6=-K + s/-I and reduce the operator to the form L + M J-1. The required result is then PeKt(L + H-) S1 (t + a). X/cos To prove this rule, we notice that, by Art. 265, F (J) emt= (L + If N/-1) emt where m=-Ac + X N/-1. If we now replace the imaginary part of the exponential by its trigonometrical value, and equate the real and imaginary parts on each side of the equation, the result follows at once. 328. If the force is permanent K = 0 and it immediately follows that the consequent forced vibration is also permanent. 329. If the determinant A(i) have a roots each equal to m, i.e.-k + Xz-i, the result assumes an infinite form. In this case the operator may be replaced by taI(S) + ata-1r(S) +...+la(S)la(S), where the coefficients follow the binomial law, and Aa(5), &c. have been written to express the ath differential coefficient of A (S), &c. Every one of these operations may now be performed by the rule given in the last article. To prove this, we replace the root m by m +...


Best Sellers


Product Details
  • ISBN-13: 9781236494023
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 212
  • Spine Width: 11 mm
  • Width: 189 mm
  • ISBN-10: 1236494024
  • Publisher Date: 01 Jun 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 386 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies; Being Part II. of a Treatise on the Whole Subject
Rarebooksclub.com -
The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies; Being Part II. of a Treatise on the Whole Subject
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies; Being Part II. of a Treatise on the Whole Subject

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!