A machine and its foundation weigh is 10x(L) kN. The spring constant and the damping ratio of the soil supporting the foundation may be taken as (L)x10³ kN/m and c = (L)x10² kN-s/m. Forced vibration of the foundation is caused by a force that can be expressed as determine: Q (kN) = (L) sin2nt L=6 Determine: (a) amplitude of motion during machine vibration, (b) maximum dynamic force transmitted to the subgrade during machine vibration. (c) the type of system and its frequency after turning off the machine, and (d) the ratio of two successive amplitudes after turning off the machine.

A machine and its foundation weigh is 10x(L) kN. The spring constant and the damping ratio of the soil supporting the foundation may be taken as (L)x10³ kN/m and c = (L)x10² kN-s/m. Forced vibration of the foundation is caused by a force that can be expressed as determine: Q (kN) = (L) sin2nt L=6 Determine: (a) amplitude of motion during machine vibration, (b) maximum dynamic force transmitted to the subgrade during machine vibration. (c) the type of system and its frequency after turning off the machine, and (d) the ratio of two successive amplitudes after turning off the machine.

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

A machine and its foundation weigh is 10x(L) kN. The spring constant and the damping ratio of the soil
supporting the foundation may be taken as (L)x10³ kN/m and c = (L)x10² kN-s/m. Forced vibration of the
foundation is caused by a force that can be expressed as determine:
Q (kN) = (L) sin2nt
L=6
Determine:
(a) amplitude of motion during machine vibration,
(b) maximum dynamic force transmitted to the subgrade during machine vibration.
(c) the type of system and its frequency after turning off the machine, and
(d) the ratio of two successive amplitudes after turning off the machine.

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