A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in Fig. 3.59. End P of spring PQ is subjected to a sinusoidal displacement, x(1) = xo sin cot. Find the steady-state angular displacement of the bar when / = 1 m, k = 1000 N/m, m = 10 kg, xo = 1 cm, and = 10 rad/s.

A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in Fig. 3.59. End P of spring PQ is subjected to a sinusoidal displacement, x(1) = xo sin cot. Find the steady-state angular displacement of the bar when / = 1 m, k = 1000 N/m, m = 10 kg, xo = 1 cm, and = 10 rad/s.

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

3.58 A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as
shown in Fig. 3.59. End P of spring PQ is subjected to a sinusoidal displacement,
= xo sin cot. Find the steady-state angular displacement of the bar when / = 1 m,
k = 1000 N/m, m = 10 kg, xo = 1 cm, and = 10 rad/s.

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