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Problem 12-45: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Name: Problem 12-45: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)
Uploaded: 2026-07-20T15:17:51.439Z
Description: A particle moves through an electric field between two plates. Its velocity varies as a half-sine wave with $t' = 0.2$ s and $v_{\max} = 10$ m/s: $$v(t) = 10\sin(5\pi t) \quad [\text{m/s}], \quad 0 \le t \le 0.2 \ \text{s}$$ At $t = t'/2 = 0.1$ s the particle is at $s = 0.5$ m. Derive and sketch the $s$–$t$ and $a$–$t$ graphs for the particle.

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

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

Question

A particle moves through an electric field between two plates. Its velocity varies as a half-sine wave with $t' = 0.2$ s and $v_{\max} = 10$ m/s: $$v(t) = 10\sin(5\pi t) \quad [\text{m/s}], \quad 0 \le t \le 0.2 \ \text{s}$$ At $t = t'/2 = 0.1$ s the particle is at $s = 0.5$ m. Derive and sketch the $s$–$t$ and $a$–$t$ graphs for the particle.

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Problem 12-45: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

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