A slider-crank mechanism is used to impart motion to the base of a spring-mass-damper system, as shown in Figure (P3.1). Approximating the base motion y(t) as a series of harmonic functions, drive the equation of motion and find the response (natural frequency, damping ratio) of the mass for m = 1 kg, c = 10 N-s/m, k = 100 N/m, r = 10 cm, 1= 1 m, and w = 100 rad/s. (t) « x(t) k/2 0 = wt www m www k/2 Fig. P3.1

A slider-crank mechanism is used to impart motion to the base of a spring-mass-damper system, as shown in Figure (P3.1). Approximating the base motion y(t) as a series of harmonic functions, drive the equation of motion and find the response (natural frequency, damping ratio) of the mass for m = 1 kg, c = 10 N-s/m, k = 100 N/m, r = 10 cm, 1= 1 m, and w = 100 rad/s. (t) « x(t) k/2 0 = wt www m www k/2 Fig. P3.1

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

Operational Amplifier

Operational amplifiers, commonly known as op-amp are the amplifying devices used to amplify the electronic voltage difference. Also, an operational amplifier is a high gain amplifier, which is used to amplify the weak signals into strong ones. The operational amplifiers are designed in such a way that they can be used in accordance with the other core and essential electronic components such as capacitors, resistors, and so on. An operational amplifier consists of differential inputs and a single output. The differential inputs of an operational amplifier consist of an inverting input and a non-inverting input. The inverting input voltage is always negative(-), whereas the non-inverting input voltage is always positive(+). The figure below shows the circuit diagram of a typical operational amplifier.

Question

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A slider-crank mechanism is used to impart motion to the base of a
spring-mass-damper system, as shown in Figure (P3.1). Approximating
the base motion y(t) as a series of harmonic functions, drive the
equation of motion and find the response (natural frequency, damping
ratio) of the mass for m = 1 kg, c = 10 N-s/m, k = 100 N/m, r = 10 cm,
1 = 1 m, and o = 100 rad/s.
x(t)
k/2
WWW
0 = ot
m
www
k/2
Fig. P3.1

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