An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The body is subject to a resisti vity force given by -be, where v is its velocity and b= 4 Nm-. 1. Write the differential equation of motion, and specify what is the type of oscillation the block undergo? (Critical, under damping, over damping) 2. Determine the period of such ascillation 3. The object is subjected to a sinusoidal force given by F(t) = Fosin(wt) where Fo = 2N and w = 30rad/sec. In steady state, what is the amplitude of forced ascillation? %3D

An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The body is subject to a resisti vity force given by -be, where v is its velocity and b= 4 Nm-. 1. Write the differential equation of motion, and specify what is the type of oscillation the block undergo? (Critical, under damping, over damping) 2. Determine the period of such ascillation 3. The object is subjected to a sinusoidal force given by F(t) = Fosin(wt) where Fo = 2N and w = 30rad/sec. In steady state, what is the amplitude of forced ascillation? %3D

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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Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.

Question

Problem 1
An object of mass m = 0.2 kg is hung from a spring whose spring constant
is 80 Nm-1. The body is subject to a resisti vity force given by –br, where v
is its velocity and b = 4 Nm-.
1. Write the different ial equation of motion, and specify what is the type of
oscillation the block undergo? (Critical, under damping, over damping)
2. Determine the period of such oscillation
3. The object is subjected to a sinusoidal force given by F(t) = Fosin(wt)
where Fo = 2N and w = 30rad/sec. In steady state, what is the
amplitude of forced ascillation?
%3D

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