Problem 20.5 The origin of the secondary coordinate system shown is fixed to the center of mass G of the cube. The velocity of the center of mass G of the cube relative to the primary reference frame at the instant shown is vG = 26i + 14j + 32k (m/s). The cube is rotat- ing relative to the secondary coordinate system with angular velocity @rel = 6.2i – 5j +8.8k (rad/s). The sec- ondary coordinate system is rotating relative to the pri- mary reference frame with angular velocity = 2.2i + 4j – 3.6k (rad/s). 2 m (a) What is the velocity of point A of the cube rela- tive to the primary reference frame at the instant shown? O. Primary reference frame (b) If the components of the vectors Wrel and 2 are constant, what is the cube's angular acceleration relative to the primary reference frame?

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 20.5 The origin of the secondary coordinate
system shown is fixed to the center of mass G of the
cube. The velocity of the center of mass G of the cube
relative to the primary reference frame at the instant
shown is vG = 26i + 14j +32k (m/s). The cube is rotat-
ing relative to the secondary coordinate system with
angular velocity wrel = 6.2i – 5j + 8.8k (rad/s). The sec-
ondary coordinate system is rotating relative to the pri-
mary reference frame with angular velocity 2 = 2.2i +
4j-3.6k (rad/s).
2 m
G.
(a) What is the velocity of point A of the cube rela-
tive to the primary reference frame at the instant
shown?
(b) If the components of the vectors Wrel and 2 are
constant, what is the cube's angular acceleration
relative to the primary reference frame?
Primary reference
frame
Transcribed Image Text:Problem 20.5 The origin of the secondary coordinate system shown is fixed to the center of mass G of the cube. The velocity of the center of mass G of the cube relative to the primary reference frame at the instant shown is vG = 26i + 14j +32k (m/s). The cube is rotat- ing relative to the secondary coordinate system with angular velocity wrel = 6.2i – 5j + 8.8k (rad/s). The sec- ondary coordinate system is rotating relative to the pri- mary reference frame with angular velocity 2 = 2.2i + 4j-3.6k (rad/s). 2 m G. (a) What is the velocity of point A of the cube rela- tive to the primary reference frame at the instant shown? (b) If the components of the vectors Wrel and 2 are constant, what is the cube's angular acceleration relative to the primary reference frame? Primary reference frame
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