By J. L. Meriam, L. G. Kraige
The seventh version of this vintage textual content keeps to supply an identical prime quality fabric visible in prior variants. The textual content is largely rewritten with updated prose for content material readability, really good new difficulties in new program parts, notable guide on drawing unfastened physique diagrams, and new digital supplementations to help readers.
Furthermore, this variation deals extra Web-based challenge fixing to perform fixing difficulties, with speedy suggestions; computational mechanics booklets provide flexibility in introducing Matlab, MathCAD, and/or Maple into your mechanics lecture room; digital figures from the textual content to augment lectures by way of pulling fabric from the textual content into Powerpoint or different lecture codecs; a hundred+ extra digital transparencies supply challenge statements and completely labored strategies to be used in lecture or as outdoors examine tools.
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Additional info for Engineering Mechanics: Statics (7th Edition)
1/4a are the components of V in the directions 1 and 2, respectively. It is usually most convenient to deal with vector components which are mutually perpendicular; these are called rectangular components. The y′ y 2 V Vy V2 V1 (a) 1 V V Vy′ θ Vx (b) Figure 1/4 x Vx′ (c) x′ Article 1/4 Newton’s Laws 7 vectors Vx and Vy in Fig. 1/4b are the x- and y-components, respectively, of V. Likewise, in Fig. 1/4c, VxЈ and VyЈ are the xЈ- and yЈ-components of V. When expressed in rectangular components, the direction of the vector with respect to, say, the x-axis is clearly speciﬁed by the angle , where ϭ tanϪ1 Vy Vx A vector V may be expressed mathematically by multiplying its magnitude V by a vector n whose magnitude is one and whose direction coincides with that of V.
Second, we can use a symbolic solution repeatedly for obtaining answers to the same type of problem, but having different units or numerical values. Third, a symbolic solution enables us to make a dimensional check at every step, which is more difficult to do when numerical values are used. In any equation representing a physical situation, the dimensions of every term on both sides of the equation must be the same. This property is called dimensional homogeneity. Thus, facility with both numerical and symbolic forms of solution is essential.
9Њ Measurement of the length R and direction of the resultant force R yields the approximate results R ϭ 525 lb α x Ans. From the law of sines, we may determine the angle which orients R. 6Њ B Ans. 800 lb θ α P 600 lb R α T (b) Algebraic solution. By using the x-y coordinate system on the given ﬁgure, we may write ᕢ Note the repositioning of F so as to preserve the correct line of action of the resultant R. 9Њ ϭ Ϫ393 lb The magnitude and direction of the resultant force R as shown in Fig. 6Њ 346 Ans.
Engineering Mechanics: Statics (7th Edition) by J. L. Meriam, L. G. Kraige