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Problem 12-44: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 12

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 12

Question

A particle travels between two plates spaced 200 mm apart. Its $v$–$t$ graph has a symmetric triangular shape: the particle accelerates from rest at a constant $a = +4 \text{ m/s}^2$ to a peak velocity $v_{\max}$, then decelerates at $a = -4 \text{ m/s}^2$ back to rest. Determine $v_{\max}$ and the total travel time $t'$. Also derive and describe the $s$–$t$ graph, given that $s = 100 \text{ mm}$ when $t = t'/2$.

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