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 resistivity 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) = Fasin(wt) where Fo = 2N and w = 30rad/sec. In steady state, what is the amplitude of forced oscillation? %3D %3D
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 resistivity 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) = Fasin(wt) where Fo = 2N and w = 30rad/sec. In steady state, what is the amplitude of forced oscillation? %3D %3D
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Transcribed Image Text: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 resistivity 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
3. The object is subjected to a sinusoidal force given by F(t) = Fasin(wt)
where Fa = 2N and w = 30rad/sec. In steady state, what is the
amplitude of forced oscillation?
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