For the system shown in Fig. 3.49, (x) and (y) denote, respectively, the absolute displacements of the

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For the system shown in Fig. 3.49, $x$ and $y$ denote, respectively, the absolute displacements of the mass $m$ and the end $Q$ of the dashpot $c_{1}$.

(a) Derive the equation of motion of the mass $m$,

(b) find the steady-state displacement of the mass $m$, and

(c) find the force transmitted to the support at $P$, when the end $Q$ is subjected to the harmonic motion $y(t)=Y \cos \omega t$.

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: Apr 30, 2024 06:04 AM

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For the system shown in Fig. 3.49, (x) and (y) denote, respectively, the absolute displacements of the

Question:

(a) Water (provides damping) 20 m 30 m 0.4 m Engine 0.4 m 0.6 m 0.2 m Propeller (105 N) Hollow stepped propeller shaft Engine vibratory disturbance (a cos at) (b) FIGURE 3.47 Propeller of a ship.

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Mechanical Vibrations

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