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

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

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Need to solve for the roll angle through the rotational kinematic equations and Euler time rates of change

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.
P = 0 + C,ó +C,S,Ý - S,Ó Q = Ф R = or S.CoR Ö = P + SoSo + Ce C, + C„Q - S,R SoQ = O CoR + Ce + Се
Transcribed Image Text:P = 0 + C,ó +C,S,Ý - S,Ó Q = Ф R = or S.CoR Ö = P + SoSo + Ce C, + C„Q - S,R SoQ = O CoR + Ce + Се
Expert Solution
Step 1

Given:

The rotational kinematic motion profile;

t:0→5 sP=6 deg/s , Q=0 deg/s , R=0 deg/sΦ(0)= 0 deg , ⊝(0)=0 deg , Ψ(0)= 0 degt:5→15 sP= 0 deg/s , ⊝˙= 6deg/s , Ψ˙(t)= 3/cos(⊝(t)) deg/s

To find:

The roll angle Φ at t=15 s

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