k= 1080N/m wwwww C 30 kg * = e(+4²1-788- F = 25cos wt (N) (a) A 30kg cart is acted upon by the harmonic force shown in the figure. If c = 0, determine the range of the driving frequency w for which the magnitude of the steady state response is less than 75mm Ans: [w< 4.99rad/s or @> 6.86rad/s] (b) If the driving frequency for the system is w = rad/s, determine the required value of the damping coefficient, C, if the steady state amplitude is not to exceed 75mm. Ans: [55.6 Ns/m²]

k= 1080N/m wwwww C 30 kg * = e(+4²1-788- F = 25cos wt (N) (a) A 30kg cart is acted upon by the harmonic force shown in the figure. If c = 0, determine the range of the driving frequency w for which the magnitude of the steady state response is less than 75mm Ans: [w< 4.99rad/s or @> 6.86rad/s] (b) If the driving frequency for the system is w = rad/s, determine the required value of the damping coefficient, C, if the steady state amplitude is not to exceed 75mm. Ans: [55.6 Ns/m²]

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

42.
k= 1080N/m
wwwwww
30 kg
X = Ae 5.₂ (
F = 25cos wt (N)
(a) A 30kg cart is acted upon by the harmonic force shown in the figure. If c =
0, determine the range of the driving frequency w for which the magnitude of the
steady state response is less than 75mm
Ans: [w< 4.99rad/s or w> 6.86rad/s]
(b) If the driving frequency for the system is a = rad/s, determine the required value of
the damping coefficient, C, if the steady state amplitude is not to exceed 75mm.
Ans: [55.6 Ns/m²]

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