If, in the previous problem, the coordinate axes are rotated through and angle θ about the x3-axis,

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If, in the previous problem, the coordinate axes are rotated through and angle θ about the x3-axis, show that the new inertia tensor is

A' -C {I} -C' B' O A' + B' where A' = A cos 0- C sin 20 + B sin2 0 B' = A sin? 0 + C sin 20 + B cos? 0 C' = C cos 2e (B

And hence show that the x1- and x2-axes become principal axes if the angle of rotation is θ = ½tan€“1 (2C/B €“ A)

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Organic Chemistry

ISBN: 9788120307209

6th Edition

Authors: Robert Thornton Morrison, Robert Neilson Boyd

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Question Posted: Aug 09, 2010 01:33 AM

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If, in the previous problem, the coordinate axes are rotated through and angle θ about the x3-axis,

Question:

A' -C {I} -C' B' O A' + B' where A' = A cos 0- C sin 20 + B sin2 0 B' = A sin? 0 + C sin 20 + B cos? 0 C' = C cos 2e (B - A) sin 20

Step by Step Answer:

The new inertia tensor I is obtained from I by a similarity transformation see Eq 1163 ...View the full answer

Organic Chemistry

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