A block of mass mm is attached to a springwith spring constant kk and is observed toexecute damped harmonic motion (nodriving force) with its position xx given byx=Ae-ytcos(wi+¢),x=Ae-ytcos(wt+þ),with y=7.0y=7.0 s-1-1 and w=27.0w=27.0s-1-1. Note that y=b/2my=b/2m.(a) If the mass of the block is 6.68 kg findthe value of the spring constant kk.(b) The block and spring are now changedto m=0.5M3D0.5 kg and k=389k=389 N/mwith the damping the same as in part (a).The block is now driven with a force givenbyF=(1.25N)cos(udi+p)F=(1.25N)cos(wdt+4)with wd=29.13wd=29.13 s-1-1 Find theamplitude of the block in meters after theforce has been driving the block for severalminutes.

Given: The mass of the block is m = 6.8 kg The spring constant of the spring is k = 389 N/m

Answered: A block of mass mm is attached to a…

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