By J. L. Meriam, L. G. Kraige
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The most recent variation of Engineering Mechanics-Dynamics maintains to supply an analogous top of the range fabric visible in earlier versions. It offers greatly rewritten, up-to-date prose for content material readability, incredible new difficulties in new software components, amazing guideline on drawing loose physique diagrams, and new digital supplementations to help studying and guideline.
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Additional info for Engineering Mechanics: Dynamics (7th Edition)
If the change in velocity of a body with time is nearly uniform, then an assumption of constant acceleration may be justified. An interval of motion which cannot be easily described in its entirety is often divided into small increments, each of which can be approximated. As another example, the retarding effect of bearing friction on the motion of a machine may often be neglected if the friction forces are small compared with the other applied forces. However, these same friction forces cannot be neglected if the purpose of the inquiry is to determine the decrease in efficiency of the machine due to the friction process.
Y Problem 2/45 v Problem 2/47 38 Chapter 2 Kinematics of Particles 2/48 A subway train travels between two of its station stops with the acceleration schedule shown. Determine the time interval ⌬t during which the train brakes to a stop with a deceleration of 2 m/s2 and find the distance s between stations. 2/51 A projectile is fired horizontally into a resisting medium with a velocity v0, and the resulting deceleration is equal to cvn, where c and n are constants and v is the velocity within the medium.
2/1 is the displacement ds. Consequently, the net displacement of the particle during the interval from t1 to t2 is the corresponding area under the curve, which is ͵ v t1 t2 dt t s2 s1 a ds ϭ ͵ t2 v dt or t1 s2 Ϫ s1 ϭ (area under v-t curve) Similarly, from Fig. 2/3c we see that the area under the a-t curve during time dt is a dt, which, from the first of Eqs. 2/2, is dv. Thus, the net change in velocity between t1 and t2 is the corresponding area under the curve, which is (c) ͵ a t1 t2 dt v1 t a ͵ v2 v1 (a) a s2 ds dv — ds v A 1 (b) v C s1 B a Figure 2/4 dv ϭ ͵ t2 a dt or t1 v2 Ϫ v1 ϭ (area under a-t curve) Note two additional graphical relations.