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?
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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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