By Jaan Kiusalaas, Andrew Pytel
The 3rd version of Engineering Mechanics: Statics written by means of nationally looked authors Andrew Pytel and Jaan Kiusalaas, presents scholars with reliable insurance of fabric with no the overload of extraneous aspect. The huge educating event of the authorship crew presents first-hand wisdom of the training ability degrees of today's scholar that's mirrored within the textual content during the pedagogy and the tying jointly of genuine global difficulties and examples with the basics of Engineering Mechanics. Designed to coach scholars easy methods to successfully research difficulties prior to plugging numbers into formulation, scholars profit enormously as they stumble upon actual existence difficulties that will not consistently healthy into ordinary formulation. This ebook used to be designed with a wealthy, concise, two-color presentation and has a stand by myself research consultant such as extra difficulties, examples, and case reviews.
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Extra info for Engineering Mechanics: Statics (3rd Edition)
10 shows two vectors A and B, with θ being the angle between their positive directions. 19) Because the dot product is a scalar, it is also called the scalar product. Note that the dot product is positive if θ < 90◦ , negative if θ > 90◦ , and zero if θ = 90◦ . The following two properties of the dot product follow from its deﬁnition in Eq. 19). • The dot product is commutative: A · B = B · A • The dot product is distributive: A · (B + C) = A · B + A · C * Note that division by a vector, such as 1/A or B/A, is not deﬁned.
3. 18) y A x Fig. 6 Sample Problem The cable attached to the eyebolt in Fig. (a) is pulled with the force F of magnitude 500 lb. Determine the rectangular representation of this force. z 6 ft t 4f F A O 3 ft B y x (a) Solution Because the coordinates of points A and B on the line of action of F are known, the following is a convenient method for obtaining the rectangular representation of F. z t A 4f 6 ft AB 3 ft O B y − → 1. Write AB, the vector from A to B, in rectangular form. − → The vector AB and its rectangular components are shown in Fig.
Contact forces are distributed over a surface area of the body, whereas forces acting at a distance are distributed over the volume of the body. Sometimes the area over which a contact force is applied is so small that it may be approximated by a point, in which case the force is said to be concentrated at the point of contact. The contact point is also called the point of application of the force. The line of action of a concentrated force is the line that passes through the point of application and is parallel to the force.