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13-1. The 6-lb particle is subjected to the action of its weight and forces F₁ = {2i+ 6j 2tk} lb, F₂ = {ti - 4tj-1k} lb, and F3 = {-2ti} lb, where t is in seconds. Determine the distance the ball is from the origin 2 s after being released from rest. x F3 y

13-1. The 6-lb particle is subjected to the action of its weight and forces F₁ = {2i+ 6j 2tk} lb, F₂ = {ti - 4tj-1k} lb, and F3 = {-2ti} lb, where t is in seconds. Determine the distance the ball is from the origin 2 s after being released from rest. x F3 y

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Problem 13-1** The 6-lb particle is subjected to the action of its weight and forces \( \mathbf{F}_1 = \{2i + 6j - 2tk\} \) lb, \( \mathbf{F}_2 = \{t^2i - 4tj - 1k\} \) lb, and \( \mathbf{F}_3 = \{-2ti\} \) lb, where \( t \) is in seconds. Determine the distance the ball is from the origin 2 s after being released from rest. **Diagram Explanation:** The diagram represents a coordinate system with the x, y, and z axes. Three force vectors are acting on a particle located at the origin: - \( \mathbf{F}_1 \) is directed in a downward and to the right direction on the xy-plane. - \( \mathbf{F}_2 \) is directed in a backward direction, mostly on the xy-plane. - \( \mathbf{F}_3 \) is directed negatively along the x-axis.
Transcribed Image Text:**Problem 13-1** The 6-lb particle is subjected to the action of its weight and forces \( \mathbf{F}_1 = \{2i + 6j - 2tk\} \) lb, \( \mathbf{F}_2 = \{t^2i - 4tj - 1k\} \) lb, and \( \mathbf{F}_3 = \{-2ti\} \) lb, where \( t \) is in seconds. Determine the distance the ball is from the origin 2 s after being released from rest. **Diagram Explanation:** The diagram represents a coordinate system with the x, y, and z axes. Three force vectors are acting on a particle located at the origin: - \( \mathbf{F}_1 \) is directed in a downward and to the right direction on the xy-plane. - \( \mathbf{F}_2 \) is directed in a backward direction, mostly on the xy-plane. - \( \mathbf{F}_3 \) is directed negatively along the x-axis.
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