Consider the rotational kinematic motion profile indicated below. t: 0 → 5 s P = 6 deg/s , Q = 0 deg/s , R = 0 deg/s %3D Þ(0) = 0 deg O deg O(0) = 0 deg O deg Y(0) = 0 deg %3D t: 5 → 15 s P = 0 deg/s è = 6 deg/s Ý(t) = 3/cos(0(t)) deg/s Compute roll angle 0 at t = 15 s.

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Consider the rotational kinematic motion profile indicated below.
t: 0 → 5 s
= 0 deg/s , R
O(0) = 0 deg
= 0 deg/s
Y(0) = 0 deg
= 6 deg/s , Q
Ф(0)
= 0 deg
O deg
%3D
t: 5 → 15 s
P = 0 deg/s
Ó = 6 deg/s
Ý(t) = 3/cos(0(t)) deg/s
Compute roll angle O at t = 15 s.
Transcribed Image Text:Consider the rotational kinematic motion profile indicated below. t: 0 → 5 s = 0 deg/s , R O(0) = 0 deg = 0 deg/s Y(0) = 0 deg = 6 deg/s , Q Ф(0) = 0 deg O deg %3D t: 5 → 15 s P = 0 deg/s Ó = 6 deg/s Ý(t) = 3/cos(0(t)) deg/s Compute roll angle O at t = 15 s.
FA, + FT, + mg,x = mỦ
+ FT, + mgy
FAy
+ m(WQ - VR)
+ m(UR - WP)
= mv
FA, + FT, + mg,, = mW
+ m(VP - UQ)
LA + LT
= I„P - I„Ŕ + (I„-Iy,)QR - IPQ
А
ZX
ZZy.
XX
ZX
= Iy,Q
= 1„Ř - I„P + (Iyy-Ixx)PQ +I„QR
Ма + Мт
+ (Ix-Iz)RP +I»(P²-R³)
A
уу
XX
ZX
NA + NT
А
zZ
ZX
XX
ZX
Transcribed Image Text:FA, + FT, + mg,x = mỦ + FT, + mgy FAy + m(WQ - VR) + m(UR - WP) = mv FA, + FT, + mg,, = mW + m(VP - UQ) LA + LT = I„P - I„Ŕ + (I„-Iy,)QR - IPQ А ZX ZZy. XX ZX = Iy,Q = 1„Ř - I„P + (Iyy-Ixx)PQ +I„QR Ма + Мт + (Ix-Iz)RP +I»(P²-R³) A уу XX ZX NA + NT А zZ ZX XX ZX
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