1000 F F 1x10 spring damper 1x10 y u Spring 9000 i damper SI

1000 F F 1x10 spring damper 1x10 y u) Spring 9000( i) damper SI units

Given :

1000 y\'\' +10⁷(y-u)³+ 9000(y\'-u\') = 10⁴

At equilibrium u = 0

1000y\'\' + 10⁷y³+9000(y^\') = 10⁴

Its second order differential equation , by solving for the route you will get y = 0.1 as most appropriable rout.

Same case as u(t)=0.01 , solve the equation by putting value

$1000 F F 1x10 spring damper 1x10 y u) Spring 9000( i) damper SI units SolutionGiven : 1000 y\'\' +107(y-u)3+ 9000(y\'-u\') = 104 At equilibrium u = 0 1000y\'\'$

1000 F F 1x10 spring damper 1x10 y u Spring 9000 i damper SI

Solution

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