VIBRATION ENGINEERING 1) A 2 gm mass is attached to a spring with constant20 dyne/cm. Find the general solution of thedisplacement if themass is subjected to an external force F(t) = 3cos4t- 5sin4t dynes and a dashpot supplies 4 dynes ofdamping for eachcm/sec of velocity.2)A 96 lb weight is attached to a spring withconstant 12 Ib/ft. Find and graph the generalsolution of thedisplacement if the mass is subjected to an externalforce F(t) = 18cost - 9sint Ib and a dashpot supplies%3D24 Ib of dampingfor each ft/sec of velocity.3) A mass of one kg stretches a spring 49 cm inequilibrium. It is attached to a dashpot that suppliesa damping force of 4 Nfor each m/sec of speed. Find the general solutionof its displacement if it is subjected to an externalforce F(t) = 8sin2t - 6cos2t N.%3D

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Answered: 1) A 2 gm mass is attached to a spring…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Description In an industrial laboratory, under uniform conditions, batches of electrical insulating fluid were subjected to constant voltages until the insulating property of the fluids broke down. Seven different voltage levels were studied and the measured reponses were the times until breakdown. Some R code to help you get started. library('Sleuth3') ?case0802 head(case0802) model = Im(Time~Voltage,data = case0802) summary(model)#Prints information about the model plot(model, which=c(1)) hist(model$residuals) Answer the following questions to the best of you ability and select all that apply. It is reasonable to assume that observations are independent. A histogram of the residuals shows that the assumption of normality is likely true. Observations are not independent According to the model a voltage of 10 kV will result in a failure time of 134667 minutes A histogram of the residuals shows that the assumption of normality is likely false. According to the model a voltage of 10 kV…
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1) A 2 gm mass is attached to a spring with constant 20 dyne/cm. Find the general solution of the displacement if the mass is subjected to an external force F(t) = 3cos4t - 5sin4t dynes and a dashpot supplies 4 dynes of damping for each cm/sec of velocity.