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13-1. The 6-lb particle is subjected to the action of its
Chapter 13, Problem 13-1(choose chapter or problem)
The 6-lb particle is subjected to the action of its weight and forces \(\mathbf{F}_{1}=\{2 \mathbf{i}+6 \mathbf{j}-2 t \mathbf{k}\} \mathrm{lb}, \quad \mathbf{F}_{2}=\left\{t^{2} \mathbf{i}-4 t \mathbf{j}-1 \mathbf{k}\right\} \mathrm{lb} \text {, and } \mathbf{F}_{3}=\{-2 t \mathbf{i}\}\ \mathrm{lb}\), where t is in seconds. Determine the distance the ball is from the origin 2 s after being released from rest.
Questions & Answers
QUESTION:
The 6-lb particle is subjected to the action of its weight and forces \(\mathbf{F}_{1}=\{2 \mathbf{i}+6 \mathbf{j}-2 t \mathbf{k}\} \mathrm{lb}, \quad \mathbf{F}_{2}=\left\{t^{2} \mathbf{i}-4 t \mathbf{j}-1 \mathbf{k}\right\} \mathrm{lb} \text {, and } \mathbf{F}_{3}=\{-2 t \mathbf{i}\}\ \mathrm{lb}\), where t is in seconds. Determine the distance the ball is from the origin 2 s after being released from rest.
ANSWER:
Step 1 of 5
The Newton’s second law on the particle can be applied as,