The 7 Ib particle is subjected to the action of its weight and forces F, {2i + 6j 2tk} lb. F2 = {t°i – 4tj 1k} Ib, and F ={-2ti} Ib. where tis in seconds. Part A Determine the distance the ball is from the origin 2s 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 determine distance from the origin at 2 s 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 exxpress 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 Ib particle is subjected to the action of its weight and forces F, {2i + 6j 2tk} lb. F2 = {t°i – 4tj 1k} Ib, and F ={-2ti} Ib. where tis in seconds. Part A Determine the distance the ball is from the origin 2s 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 determine distance from the origin at 2 s 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 exxpress 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

The 7 Ib particle is subjected to the action of its weight and forces F,
{2i + 6j
2tk} lb. F2 = {t°i – 4tj
1k} Ib, and F ={-2ti} Ib. where tis in seconds.
Part A
Determine the distance the ball is from the origin 2s 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 determine distance from the origin at 2 s
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 exxpress 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.

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