Exercise 1. A mass trailer M, attached to a wall by a spring and a damper with damping coefficient c, slides over a frictionless surface, as illustrated by the Fig. 16. A uniform rigid bar, attached to the trailer by a pin, may oscillate relative to the pivot point, O. Derive the system movement equations under the applied forces F(t) and M(t) indicated in the image. Then obtain the natural frequencies and vibrate modes of the structure, where in this case the free system should be considered not dampened. Suppose the mass has length L and mass m.

Exercise 1. A mass trailer M, attached to a wall by a spring and a damper with damping coefficient c, slides over a frictionless surface, as illustrated by the Fig. 16. A uniform rigid bar, attached to the trailer by a pin, may oscillate relative to the pivot point, O. Derive the system movement equations under the applied forces F(t) and M(t) indicated in the image. Then obtain the natural frequencies and vibrate modes of the structure, where in this case the free system should be considered not dampened. Suppose the mass has length L and mass m.

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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Question

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Exercise 1. A mass trailer M, attached to a wall by a spring and a damper
with damping coefficient c, slides over a frictionless surface, as illustrated by
the Fig. 16. A uniform rigid bar, attached to the trailer by a pin, may oscillate
relative to the pivot point, O. Derive the system movement equations under
the applied forces F(t) and M:(t) indicated in the image. Then obtain the
natural frequencies and
vibrate modes of the structure, where in this case
the free system should be considered not dampened. Suppose the mass has
length L and mass m.
O X1 (t)
M,(1)
G
F,(t)
K
Fig. 16

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