Example 4. The damped motion of a vibrating particle is definedby the position vectori+(20e¯*t/2,-at/2 cos 2 nt jcos 2rt)i} mm,rt+ 1where t is expressed in seconds. Determine the position, thevelocity, and the acceleration of the particle when t = 1.5 s.

Answered: Image /qna-images/answer/f3b973c1-50e8-433e-8ebc-174acb5aa491.jpg

Example 4. The damped motion of a vibrating particle is defined by the position vector 30 30 t+1 -l -*t/2 cos 2rt)j} i+ (20e r = where t is expressed in seconds. Determine the position, the velocity, and the acceleration of the particle when t = 1.5 s.

Example 4. The damped motion of a vibrating particle is defined by the position vector 30 30 t+1 -l -*t/2 cos 2rt)j} i+ (20e r = where t is expressed in seconds. Determine the position, the velocity, and the acceleration of the particle when t = 1.5 s.

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

Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.

Question

Example 4. The damped motion of a vibrating particle is defined
by the position vector
i+(20e¯*t/2,
-at/2 cos 2 nt j
cos 2rt)i} mm,
r
t+ 1
where t is expressed in seconds. Determine the position, the
velocity, and the acceleration of the particle when t = 1.5 s.

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