A z = axº M

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A motorcycle cage has a curved path in the x-z plane as shown. The cage
path has different curved profile, and between point o and A the path is best
described as z = f(x) = ax², where a = 0.09 and b = 1.23. The motorcyclist at
point M is moving at a velocity of 12.6 m/s which is increasing at a rate of 1.9
m/s?. If the horizontal position of the motorcyclist at point M is xM = 11.9 m,
determine (i) the direction of the motorcyclisť's velocity. (ii) the radius of the
curvature of the cage's path at point M, (iii) the normal acceleration at point
M, (iv) the magnitude and direction of the motorcyclist's acceleration at point
M.
A
(z = ax
Transcribed Image Text:A motorcycle cage has a curved path in the x-z plane as shown. The cage path has different curved profile, and between point o and A the path is best described as z = f(x) = ax², where a = 0.09 and b = 1.23. The motorcyclist at point M is moving at a velocity of 12.6 m/s which is increasing at a rate of 1.9 m/s?. If the horizontal position of the motorcyclist at point M is xM = 11.9 m, determine (i) the direction of the motorcyclisť's velocity. (ii) the radius of the curvature of the cage's path at point M, (iii) the normal acceleration at point M, (iv) the magnitude and direction of the motorcyclist's acceleration at point M. A (z = ax
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