A centrifuge is often used for astronaut training. A simplified version is sketched in Figure P3-22, in which a cockpit is rigidly attached to an arm that is driven by a motor. If in a particular test, starting from rest, the driving motor supplies a constant angular acceleration of 0.5 rad/s^2, and the distance from the astronaut's navel to the rotation axis is 10m, find the acceleration of the astronaut's navel as a function of time (with respect to ground). Note that gravity acts. The reference frames defined in Figure P3-22 are as follows: OXYZ is fixed to ground; Oxyz is fixed to the arm.
A centrifuge is often used for astronaut training. A simplified version is sketched in Figure P3-22, in which a cockpit is rigidly attached to an arm that is driven by a motor. If in a particular test, starting from rest, the driving motor supplies a constant angular acceleration of 0.5 rad/s^2, and the distance from the astronaut's navel to the rotation axis is 10m, find the acceleration of the astronaut's navel as a function of time (with respect to ground). Note that gravity acts. The reference frames defined in Figure P3-22 are as follows: OXYZ is fixed to ground; Oxyz is fixed to the arm.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A centrifuge is often used for astronaut training. A simplified version is
sketched in Figure P3-22, in which a cockpit is rigidly attached to an
arm that is driven by a motor. If in a particular test, starting from rest,
the driving motor supplies a constant angular acceleration of 0.5
rad/s^2, and the distance from the astronaut's navel to the rotation axis
is 10m, find the acceleration of the astronaut's navel as a function of
time (with respect to ground). Note that gravity acts.
The reference frames defined in Figure P3-22 are as follows: OXYZ is
fixed to ground; Oxyz is fixed to the arm.
Y
10 m
Cockpit
2, 2
0.5 rad/s?
FIGURE P3-22
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