Suppose the parametric equations for a moving charged particle in an electromagnetic field take the following forms: The trajectory of such a moving particle is shown in the figure below, where 0 ≤ t ≤. Find the length of arc ABC. Note: cos(2t) = 1 - 2sin²(t), cos(a - B) = cos(a) · cos(B) + sin(a) · sin(ß). Position y in meters 15 10 5 x = 11· cos(t)- 6 cos, y = 11. sin(t)- 6. sin -10 -20 -15 B -10 -5 0 Position x in meters 5 10 Figure 1: Trajectory of a particle for 0 ≤ t ≤ 6.
Suppose the parametric equations for a moving charged particle in an electromagnetic field take the following forms: The trajectory of such a moving particle is shown in the figure below, where 0 ≤ t ≤. Find the length of arc ABC. Note: cos(2t) = 1 - 2sin²(t), cos(a - B) = cos(a) · cos(B) + sin(a) · sin(ß). Position y in meters 15 10 5 x = 11· cos(t)- 6 cos, y = 11. sin(t)- 6. sin -10 -20 -15 B -10 -5 0 Position x in meters 5 10 Figure 1: Trajectory of a particle for 0 ≤ t ≤ 6.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose the parametric equations for a moving charged particle in an electromagnetic field
take the following forms:
The trajectory of such a moving particle is shown in the figure below, where 0 ≤ts Find the
length of arc ABC.
Note: cos(21) = 1 - 2sin² (t), cos(a - B) = cos(a) cos(B) + sin(a) sin(B).
· ·
Position y in meters
15
10
x = 11 · cos(t) — 6 · cos,
y = 11 · sin(t) — 6 · sin
-5
-10
-20
-15
B
-10 -5
0
Position x in meters
5
10
Figure 1: Trajectory of a particle for 0 ≤ t ≤
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