In Figure P4.23, assume that the cylinder rolls without
Chapter , Problem 4.23(choose chapter or problem)
In Figure P4.23, assume that the cylinder rolls without slipping. The spring is at its free length when x and y are zero.
(a) Derive the equation of motion in terms of x, with y(t) as the input.
(b) Suppose that m = 10 kg, R = 0.3 m, k = 1000 N/m, and that y(t) is a unit-step function. Solve for x(t) if \(x(0)=\dot{x}(0)=0\).
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