Q16. When analyzing a particle undergoing curviliear motion using the normal- tangential (n-t) coordinate system, select all the correct equations from below. The symbols represent:

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Q16. When analyzing a particle undergoing curviliear motion using the normal-
tangential (n-t) coordinate system, select all the correct equations from below. The
symbols represent:
V: magnitude of the total velocity of the particle, or, speed of the particle;
Vț: magnitude of the velocity of the particle in the tangential direction;
Vn: magnitude of the velocity of the particle in the normal direction;
a: magnitude of the total acceleration of the particle;
a;: magnitude of the acceleration of the particle in the tangential direction;
an: magnitude of the acceleration of the particle in the normal direction;
S: distance traveled along the path;
t: time;
p: radius of curvature of the path;
dv
a =
dt
an =
Uan
dv
%|
dt
ds
y =
dt
An
v2
a =
Oads
vdv
af =
dv
at
dt
Oa;ds = vdv
II
II
Transcribed Image Text:Q16. When analyzing a particle undergoing curviliear motion using the normal- tangential (n-t) coordinate system, select all the correct equations from below. The symbols represent: V: magnitude of the total velocity of the particle, or, speed of the particle; Vț: magnitude of the velocity of the particle in the tangential direction; Vn: magnitude of the velocity of the particle in the normal direction; a: magnitude of the total acceleration of the particle; a;: magnitude of the acceleration of the particle in the tangential direction; an: magnitude of the acceleration of the particle in the normal direction; S: distance traveled along the path; t: time; p: radius of curvature of the path; dv a = dt an = Uan dv %| dt ds y = dt An v2 a = Oads vdv af = dv at dt Oa;ds = vdv II II
Expert Solution
Step 1

here the following option formula can be said as correct

Normal-tangential (n-t) coordinates are associated to a particle and travel with it. As a result, in n-t coordinates, there is no position vector. A typical n-t issue will either offer the exact location of the particle on a route or kinematics data from which the position may be calculated.

 

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