A block of mass m = 1 is sitting on a table and is attached toa spring of strength k = 5 so that it can slide horizontally on the table. The coefficient of linear friction between the block and the table is b = 2, and an external force of F(t) = 13 cos(3r) acts on it. Find the general solution to this differential equation, and determine if the spring--mass system is over-damped, critically damped, or under-damped. %3!
A block of mass m = 1 is sitting on a table and is attached toa spring of strength k = 5 so that it can slide horizontally on the table. The coefficient of linear friction between the block and the table is b = 2, and an external force of F(t) = 13 cos(3r) acts on it. Find the general solution to this differential equation, and determine if the spring--mass system is over-damped, critically damped, or under-damped. %3!
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Transcribed Image Text:A block of mass m = 1 is sitting on a table and is attached toh spring of strength k = 5 so that it can slide
horizontally on the table. The coefficient of linear friction between the block and the table is b = 2, and an external
force of F(t) = 13 cos(3r) acts on it. Find the general solution to this differential equation, and determine if the
spring--mass system is over-damped, critically damped, or under-damped.
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