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The result you got above should be x(t) = e(C + Dt), eq 77. This introduces a new solution to the differential equation of motion, namely x(t) = Dte. Show directly that this is a solution of eq. 47 for y/2 = Mo-

The result you got above should be x(t) = e(C + Dt), eq 77. This introduces a new solution to the differential equation of motion, namely x(t) = Dte. Show directly that this is a solution of eq. 47 for y/2 = Mo-

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The result you got above should be x(t) = e(C + Dt), eq 77. This introduces a new solution to the differential equation of motion, namely x(t) = Dte. Show directly that this is a solution of eq. 47 for y/2 = @.
Transcribed Image Text:The result you got above should be x(t) = e(C + Dt), eq 77. This introduces a new solution to the differential equation of motion, namely x(t) = Dte. Show directly that this is a solution of eq. 47 for y/2 = @.
Fdamping = -bż. (46) Note that this is not the force from sliding friction on a table. That would be a force with constant magnitude HN. The -bi force here pertains to a body moving through a fluid, provided that the velocity isn't too large. So it is in fact a realistic force. The F = ma equation for the mass is Fspring + Fdamping -kr – bi k » i + yå + wr 0, where wo = (47) m
Transcribed Image Text:Fdamping = -bż. (46) Note that this is not the force from sliding friction on a table. That would be a force with constant magnitude HN. The -bi force here pertains to a body moving through a fluid, provided that the velocity isn't too large. So it is in fact a realistic force. The F = ma equation for the mass is Fspring + Fdamping -kr – bi k » i + yå + wr 0, where wo = (47) m
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