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Problem 12-45: 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

Question:
A particle moves through an electric field between two plates. Its velocity-time graph is a symmetric triangle, where t-prime equals 0.2 seconds and v-max equals 10 meters per second. Velocity increases linearly from zero to v-max over the first half of the time interval — that is, from 0 to t-prime over 2 — then decreases linearly from v-max back to zero over the second half, from t-prime over 2 to t-prime. At t equals t-prime over 2, which is 0.1 seconds, the particle is at position s equals 0.5 meters. Draw the s-versus-t and a-versus-t graphs for the particle.

Rectilinear Kinematics: Constructing s–t and a–t Graphs from a Triangular v–t Graph

This lesson uses a symmetric triangular velocity–time profile to derive both the position–time and acceleration–time graphs for a particle undergoing two phases of constant acceleration. Students practice integrating piecewise-linear

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