A particle moves along a portion of the parabolic path y² = 4-x, where x and y are in meter, within the time interval Os t≤ 10 s. The horizontal component of the position of the particle is defined as x = 4sin(t) where t is in second and is angle in radian. At the instant when t = 1.7288 s, calculate (a) the speed and (b) the magnitude of the normal acceleration of the particle. Hint (you may or may not use this): The radius of curvature is expressed as:
A particle moves along a portion of the parabolic path y² = 4-x, where x and y are in meter, within the time interval Os t≤ 10 s. The horizontal component of the position of the particle is defined as x = 4sin(t) where t is in second and is angle in radian. At the instant when t = 1.7288 s, calculate (a) the speed and (b) the magnitude of the normal acceleration of the particle. Hint (you may or may not use this): The radius of curvature is expressed as:
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Transcribed Image Text:y (m)
3
2
1
1
x (m)
2
y² = 4-x
3
4
Transcribed Image Text:A particle moves along a portion of the parabolic path y² = 4-x, where x and y are in meter, within the
time interval 0≤ t≤ 10 s. The horizontal component of the position of the particle is defined as x =
4sin(t) where it is in second and is angle in radian. At the instant when t = 1.7288 s, calculate (a)
the speed and (b) the magnitude of the normal acceleration of the particle. Hint (you may or may not
use this): The radius of curvature is expressed as:
25
³/2
FOT
+
Р
|d²y|
|dx²|
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