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6.16. Tilting plane *** A mass M is fixed at the right-angled vertex where a massless rod of length is attached to a very long massless rod (see Fig. 6.19). A mass m is free to move frictionlessly along the long rod (assume that it can pass through M). The rod of length is hinged at a support, and the whole system is free to rotate, in the plane of the rods, about the hinge. Let be the angle of rotation of the system, and let x be the distance between m and M. Find the equations of motion. Find the normal modes when and x are both very small. Fig. 6.19 1 x M m

6.16. Tilting plane *** A mass M is fixed at the right-angled vertex where a massless rod of length is attached to a very long massless rod (see Fig. 6.19). A mass m is free to move frictionlessly along the long rod (assume that it can pass through M). The rod of length is hinged at a support, and the whole system is free to rotate, in the plane of the rods, about the hinge. Let be the angle of rotation of the system, and let x be the distance between m and M. Find the equations of motion. Find the normal modes when and x are both very small. Fig. 6.19 1 x M m

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Introduction to Classical Dynamics The Lagrangian Method Please I need a complete solution of this, thank you.
6.16. Tilting plane *** A mass M is fixed at the right-angled vertex where a massless rod of length & is attached to a very long massless rod (see Fig. 6.19). A mass m is free to move frictionlessly along the long rod (assume that it can pass through M). The rod of length is hinged at a support, and the whole system is free to rotate, in the plane of the rods, about the hinge. Let be the angle of rotation of the system, and let x be the distance between m and M. Find the equations of motion. Find the normal modes when and x are both very small. Fig. 6.19 X M m
Transcribed Image Text:6.16. Tilting plane *** A mass M is fixed at the right-angled vertex where a massless rod of length & is attached to a very long massless rod (see Fig. 6.19). A mass m is free to move frictionlessly along the long rod (assume that it can pass through M). The rod of length is hinged at a support, and the whole system is free to rotate, in the plane of the rods, about the hinge. Let be the angle of rotation of the system, and let x be the distance between m and M. Find the equations of motion. Find the normal modes when and x are both very small. Fig. 6.19 X M m
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