36_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 12 *Problem 12–48 The s–t graph for a train has been experimentally determined. From the data, construct the v–t and a–t graphs for the motion; 0 ≤ t ≤ t2. For 0 ≤ t ≤ t1 , the curve is a parabola, and then it becomes straight for t ≥ t1. Given: t1 = 30 s t2 = 40 s s1 = 360 m s2 = 600 m Solution: k1 = s1 t1 k2 = 2 s2 − s1 t2 − t1 τ 1 = 0 , 0.01 t1 .. t1 sp1 ( t) = k1 t τ 2 = t1 , 1.01 t1 .. t2 2 v1 ( t) = 2k1 t v2 ( t) = k2 sp2 ( t) = sp1 ( t1 ) + k2 ( t − t1 ) a1 ( t) = 2k1 a2 ( t ) = 0 Velocity (m/s) 30 () v2( τ 2) v1 τ 1 20 10 0 0 5 10 15 20 τ 1, τ 2 Time (s) 34 25 30 35 40 ...
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