50_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 12 *Problem 12–60 The a–t graph for a car is shown. Construct the v–t and s–t graphs if the car starts from rest at t = 0. At what time t' does the car stop? Given: a1 = 5 m 2 s m a2 = − 2 2 s t1 = 10 s Solution: k= a1 t1 2 3 ap1 ( t) = k t t vp1 ( t) = k 2 t sp1 ( t) = k 6 ap2 ( t) = a2 vp2 ( t) = vp1 ( t1 ) + a2 ( t − t1 ) sp2 ( t) = sp1 ( t1 ) + vp1 ( t1 ) ( t − t1 ) + Guess t' = 12 s τ 1 = 0 , 0.01 t1 .. t1 Given vp2 ( t' ) = 0 1 2 a2 ( t − t1 ) 2 t' = Find ( t' ) t' = 22.5 s τ 2 = t1 , 1.01 t1 .. t' Velocity (m/s) 30 () vp2( τ 2) vp1 τ 1 20 10 0 0 5 10 15 τ 1, τ 2 Time (s) 48 20 25 ...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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