Given two coordinate systems with same origin O; (x,y,z) is at rest and (x`,y`,z') is rotating with angular velocity of magnitude w=10 rad/s around the x-axis. The position vector of a particle as located with respect to the fixed axes (x,y,z) is (2t3, t, - 3t2) where t in seconds and position components are in m. What is the magnitude of its position vector with respect to the rotating axes (x',y`,z') after 2s?
Given two coordinate systems with same origin O; (x,y,z) is at rest and (x`,y`,z') is rotating with angular velocity of magnitude w=10 rad/s around the x-axis. The position vector of a particle as located with respect to the fixed axes (x,y,z) is (2t3, t, - 3t2) where t in seconds and position components are in m. What is the magnitude of its position vector with respect to the rotating axes (x',y`,z') after 2s?
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Transcribed Image Text:Given two coordinate systems with same origin 0;
(x,y,z) is at rest and (x,y',z') is rotating with angular
velocity of magnitude w=10 rad/s around the x-axis.
The position vector of a particle as located with
respect to the fixed axes (x,y,z) is (2t3, t, - 3t2) wheret
in seconds and position components are in m. What
is the magnitude of its position vector with respect
to the rotating axes (x`,y`,z') after 2s?
A. - 2.03 m
В. 34.4 m
С. 5.38 m
D. - 5.38m
E. 12.1 m
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