1- Find the velocity x and the position x as functions of the time t for a particle of mass m, which starts from rest at x =0 and t 0, subject to the following force functions: (a) F, = F, + ct (b) Fx = F, sin ct (c) F = F, ed Where F, and c are positive constants.

1- Find the velocity x and the position x as functions of the time t for a particle of mass m, which starts from rest at x =0 and t 0, subject to the following force functions: (a) F, = F, + ct (b) Fx = F, sin ct (c) F = F, ed Where F, and c are positive constants.

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

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

1- Find the velocity x and the position x as functions of the time t for a particle of
mass m, which starts from rest at x =0 and t=0, subject to the following force
functions:
(a) F, = F. + ct
(b) F = F, sin ct
(c) F, = F, ed
Where F, and c are positive constants.

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