The 7 lb particle is subjected to the action of its weight and forces F1 {2i + 6j 2tk} lb, F2 = {t°i – 4tj – 1k} lb. and F3 = {-2ti} lb. where tis in seconds. F3 Part A Determine the distance the ball is from the origin 2 s after being released from rest. Express your answer to three significant figures and include the appropriate units. Hint 1. How to analyze spatial movement In order to analyze movement of the ball, consider its movement along each axis independently from others. You can do so, because each force component does not depend on others, only on time t. Set up and solve equations of motion along each axis. Do not forget weight acting in the negative z direction. Hint 2. How to detemine distance from the origin at 2s From equations of motion along each axis you can express components of the ball's acceleration as functions of time t. Using them and the fact that the ball starts from rest, you can express velocity components as functions of t. Finally, because the ball starts from the origin, you can express its position along each axis as a function of time. Use this position to determine distance from the origin.

The 7 lb particle is subjected to the action of its weight and forces F1 {2i + 6j 2tk} lb, F2 = {t°i – 4tj – 1k} lb. and F3 = {-2ti} lb. where tis in seconds. F3 Part A Determine the distance the ball is from the origin 2 s after being released from rest. Express your answer to three significant figures and include the appropriate units. Hint 1. How to analyze spatial movement In order to analyze movement of the ball, consider its movement along each axis independently from others. You can do so, because each force component does not depend on others, only on time t. Set up and solve equations of motion along each axis. Do not forget weight acting in the negative z direction. Hint 2. How to detemine distance from the origin at 2s From equations of motion along each axis you can express components of the ball's acceleration as functions of time t. Using them and the fact that the ball starts from rest, you can express velocity components as functions of t. Finally, because the ball starts from the origin, you can express its position along each axis as a function of time. Use this position to determine distance from the origin.

Name: The 7 lb particle is subjected to the action of its weight and forces
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Description: The 7 lb particle is subjected to the action of its weight and forces F1{2i + 6j2tk} lb, F2 = {t°i – 4tj – 1k} lb. and F3 = {-2ti} lb. where tis in seconds.F3Part ADetermine the distance the ball is from the origin 2 s after being released from rest

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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