2.2.8 Find the circular cylindrical components of the velocity and accelera- tion of a moving particle, 2.3 Orthogonal Coordinates Hint. Up = p, V₂ = pip, ap = p-pi², a = pÿ +2pp, a₂ = 2. r(t) = p(t)p(t) + 2z(t) = [X cos y(t) + y sin y(t)]p(t) + 2z(t). Note. p = dp/dt, p=d²p/dt², and so on. 113

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2.2.8 Find the circular cylindrical components of the velocity and accelera-
tion of a moving particle,
2.3 Orthogonal Coordinates
Hint.
Up = p,
Vp = pi,
U₂ = 2,
ap = p-pi²,
ap = pi +20,
A₂ = 2.
r(t) = p(t)p(t) + 2z(t)
= [ cos p(t) + y sin y(t)]p(t) + 2z(t).
Note. p = dp/dt, p = d²p/dt², and so on.
113
Transcribed Image Text:2.2.8 Find the circular cylindrical components of the velocity and accelera- tion of a moving particle, 2.3 Orthogonal Coordinates Hint. Up = p, Vp = pi, U₂ = 2, ap = p-pi², ap = pi +20, A₂ = 2. r(t) = p(t)p(t) + 2z(t) = [ cos p(t) + y sin y(t)]p(t) + 2z(t). Note. p = dp/dt, p = d²p/dt², and so on. 113
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