Question 1 1. An asymmetric top (11 < I2 I3) executes torque-free motion with 2EI2 = L2. If the angular velocity w initiallylies in the plane of ê1 and ê3, integrate Euler's equations to obtain the solutionI2w₁(t) = woo312 (13I1(13-11).}208Jwhere woo = 2E/L and T = w[(13 - 12) (I2 − I1)/(1311)]-1/2. Discuss the time dependence of w²= ||² and sketchthe motion of as seen in the body-fixed frame.2. A Thumbtack on an inclined plane30F41/2sech (t/T), w₂ (t) =0▬%Q SearchSㅏLD6F6=coo tanh(t/T),>P7CGCA rigid body in the shape of a thumbtack formed from athin disk of mass M and radius a and a massless stem isplaced on an inclined plane that makes an anale a withO D800w3 (t)FB= WxH9[12(12-11)13(13-11).12 (121) sech(1/7).F91/20F10P11

An asymmetric top (I1 < 12 < I3) executes torque-free motion with 2E12 = L². If the angular velocity w initially lies in the plane of ê1 and ê3, integrate Euler's equations to obtain the solution I w₁(t) = Woo 12 (13 - 12) 11 (13-11)] 1/2 sech(t/T), w2 (t) =&oo tanh(t/T), w3 (t): sech(t/T), where wo = 2E/L and 7= w[(13-12) (12 - 11)/(1311)]-1/2. Discuss the time dependence of w²= ||² and sketch the motion of as seen in the body-fixed frame. 12 (12-11) 1¹/2 13(13-11). = Woo

An asymmetric top (I1 < 12 < I3) executes torque-free motion with 2E12 = L². If the angular velocity w initially lies in the plane of ê1 and ê3, integrate Euler's equations to obtain the solution I w₁(t) = Woo 12 (13 - 12) 11 (13-11)] 1/2 sech(t/T), w2 (t) =&oo tanh(t/T), w3 (t): sech(t/T), where wo = 2E/L and 7= w[(13-12) (12 - 11)/(1311)]-1/2. Discuss the time dependence of w²= ||² and sketch the motion of as seen in the body-fixed frame. 12 (12-11) 1¹/2 13(13-11). = Woo

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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