For a mechanical mass-spring-damper system the following differential equation is given, where y(t) is the position...

    

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For a mechanical mass-spring-damper system the following differential equation is given, where y(t) is the position of the mass and F(t) represents the external force: my(t) + dy(t) + ky(t) = F(t) The following parameters are given m = 2 kg, d = 28., and k = 90%- a) Solve the equation for y(t) if the external force represents a unit step input and all initial conditions are zero. b) Is the given system stable? Please explain. For a mechanical mass-spring-damper system the following differential equation is given, where y(t) is the position of the mass and F(t) represents the external force: my(t) + dy(t) + ky(t) = F(t) The following parameters are given m = 2 kg, d = 28., and k = 90%- a) Solve the equation for y(t) if the external force represents a unit step input and all initial conditions are zero. b) Is the given system stable? Please explain.

Answer rating: 100% (QA)

a To solve the differential equation we first need to find the homogeneous solution and the particular solution The homogeneous solution is obtained b... View the full answer