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 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

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 1
An object of mass rm = 0.2 kg is hung from a spring whose spring constant
is 80 Nm-1. The body is subject to a resistivity force given by –bv, 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 oscillation
3. The object is subjected to a sinusoidal force given by F(t) = Fasin(wt)
where Fo
amplitude of forced ascillation?
2N and w = 30rad/sec. In steady state, what is the
%3D
Transcribed Image Text:Problem 1 An object of mass rm = 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The body is subject to a resistivity force given by –bv, 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 oscillation 3. The object is subjected to a sinusoidal force given by F(t) = Fasin(wt) where Fo amplitude of forced ascillation? 2N and w = 30rad/sec. In steady state, what is the %3D
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