Consider a mass-spring system with a mass of 1 kg attached to the spring, having springconstant 9 kg/m. Assuming that the motion of the object is undamped, and the system issubjected to an external force F(t) = 4 cos ot,6.a. Determine the displacement of the object if y(0) = 0, y(0) = 0.b. For what value of o the resonance would take place?a. [ y(t) =b. [ Resonance occurs at w = 3];(cos 3t- cos wt), w # 3; y(t) =t sin 3t, w = 3]w2-9

given data;mass (m)=1kgspring constant k=9kg/mF(t)=4cosωt

Consider a mass-spring system with a mass of 1 kg attached to the spring, having spring constant 9 kg/m. Assuming that the motion of the object is undamped, and the system i subjected to an external force F(t) = 4 cos ot, 6. a. Determine the displacement of the object if y(0) = 0, ý(0) = 0. b. For what value of o the resonance would take place?

Consider a mass-spring system with a mass of 1 kg attached to the spring, having spring constant 9 kg/m. Assuming that the motion of the object is undamped, and the system i subjected to an external force F(t) = 4 cos ot, 6. a. Determine the displacement of the object if y(0) = 0, ý(0) = 0. b. For what value of o the resonance would take place?

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 Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Consider a mass-spring system with a mass of 1 kg attached to the spring, having spring
constant 9 kg/m. Assuming that the motion of the object is undamped, and the system is
subjected to an external force F(t) = 4 cos ot,
6.
a. Determine the displacement of the object if y(0) = 0, y(0) = 0.
b. For what value of o the resonance would take place?
a. [ y(t) =
b. [ Resonance occurs at w = 3]
;(cos 3t- cos wt), w # 3; y(t) =t sin 3t, w = 3]
w2-9

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