Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft relative to Earth is w = 1.6b1+0.77b2+0.39b3 and the angular acceleration of the spacecraft relative to Earth is zero. Now consider a top spinning in the spacecraft with an angular velocity relative to the spacecraft of wT = 8.5b1+0.15b2+0.19b3 and angular acceleration relative to the spacecraft of ar = 0.03b, +0.16b2+0.23b3. What is the magnitude of the angular acceleration of the spinning top relative to the Earth reference frame. Note b1, b2, b3 are unit vectors fixed in the spacecraft reference frame.

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Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft
relative to Earth is ū = 1.6b1+0.77b2+0.39b3 and the angular acceleration of the spacecraft relative
to Earth is zero. Now consider a top spinning in the spacecraft with an angular velocity relative to
the spacecraft of wr = 8.5b1+0.15b2+0.19bz and angular acceleration relative to the spacecraft of
ar = 0.03b1 +0.16b2+0.23b3. What is the magnitude of the angular acceleration of the spinning
top relative to the Earth reference frame.
Note b1, b2, bz are unit vectors fixed in the spacecraft reference frame.
Transcribed Image Text:Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft relative to Earth is ū = 1.6b1+0.77b2+0.39b3 and the angular acceleration of the spacecraft relative to Earth is zero. Now consider a top spinning in the spacecraft with an angular velocity relative to the spacecraft of wr = 8.5b1+0.15b2+0.19bz and angular acceleration relative to the spacecraft of ar = 0.03b1 +0.16b2+0.23b3. What is the magnitude of the angular acceleration of the spinning top relative to the Earth reference frame. Note b1, b2, bz are unit vectors fixed in the spacecraft reference frame.
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