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Question: engr 4501 homework 2 rigid body transformations purpose to map...

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ENGR 4501 Homework 2: Rigid Body Transformations Purpose: to map one coordinate frame to another in 3D space Problem 1 Given the coordinate frames shown, where the tie fighter is located at p° Ro and p 13, 4, o] and 0 30 deg, find Yo Ху 0 Problem 2 Given the coordinate frames shown, where 08-10. o0-1 , p1-5 , and θ-60 deg, find Ro.To.po,and T
Problem 3 Given the following rotation sequence, find the resultant rotation matrix R 1) Rotate around fixed X axis by angle θ 2) Rotate around fixed Z axis by angle ф 3) Rotate around current Z axis by angle a 4) Rotate around fixed Y axis by angle B 5) Rotate around current X axis by angle 8 Problem4 Given a yaw of 4-10 deg, pitch of θ = 20 deg, and roll of φ-30 deg, find (a) Rotation matrix R (b) Axis-angle representation (c)Quaternion representation
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