A laser pointer, located at O, is aimed at the top of a tunnel, the shape of which is such that rAO=L(1+sinθ). The pointer is swung in a counterclockwise manner such that θ˙=(2.0 rad/s2)t. Assume that the swing began at θ=0 when t=0 s. What are υA and aA when θ=π2, where A is the point on the tunnel where the laser beam hits? 2.3.26. [Level 2] A laser pointer, located at O, is aimed at the top of a tunnel, the shape of which is such that rÃsuch that = (2.0 rad /s²)t. Assume that the swing began at 0 = 0 when t=0 s. What are vand a when =9=AA0ATAIO8X= L (1 + sin §). The pointer is swung in a counterclockwise manner, where A is the point on the tunnel where the laser beam hits?

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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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A laser pointer, located at O, is aimed at the top of a tunnel, the shape of which is such that rAO=L(1+sinθ). The pointer is swung in a counterclockwise manner such that θ˙=(2.0 rad/s2)t. Assume that the swing began at θ=0 when t=0 s. What are υA and aA when θ=π2, where A is the point on the tunnel where the laser beam hits?

2.3.26. [Level 2] A laser pointer, located at O, is aimed at the top of a tunnel, the shape of which is such that rÃ
such that = (2.0 rad /s²)t. Assume that the swing began at 0 = 0 when t=0 s. What are vand a when =
9=
A
A
0
A
TAIO
8
X
= L (1 + sin §). The pointer is swung in a counterclockwise manner
, where A is the point on the tunnel where the laser beam hits?

Expert Solution

Step 1: Determine the angular position of the A.

$table row theta equals cell integral subscript blank superscript blank stack theta d t with. on top end cell row blank equals cell integral subscript blank superscript blank open parentheses 2 space t close parentheses d t end cell row blank equals cell t squared plus theta subscript 0 end cell row blank blank cell Use space the space condition comma end cell row theta equals cell 0 comma space a t space t equals 0 end cell row cell theta subscript 0 end cell equals 0 row blank blank cell The space equation space become minus end cell row theta equals cell t squared end cell row blank blank blank end table$

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