Example: State Space model of an advanced mechanical system

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An advanced example for the series
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Don't you think so there is a mistake in writing the diff.eq for mass 2 as we need to consider the downward direction as positive.From FBD, force due to spring k2 is in the upward direction.

ahmedm
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I saw mistake while you were writing the mass 1 equation, which is on the sign convention

godswillkalu
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The Interita force in mass M1 and M2 will be act in opposite direction of the motion

heheheheejwj
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There are sign-wise mistakes on EOMs. Other than that thanks for sharing.

crmzlsn
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Sign of 'u' should be negative for X2'

allaboutee.
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you forgot to add mg which is the weight of the system

malikjavadov