Home /
Expert Answers /
Mechanical Engineering /
consider-the-2dof-mechanical-system-shown-below-where-a-mass-m2-slides-along-a-smooth-lubricated-s-pa891
(Solved): Consider the 2DoF mechanical system shown below, where a mass M2 slides along a smooth lubricated s ...
Consider the mechanical system shown below, where a mass slides along a smooth lubricated surface of mass that is connected to a wall by a spring . Obtain the state space representation for the following system.
Expert Answer
Given:-According to the given question.To obtain the state space representation for this system, we need to first define the state variables. Since there are two masses involved in the system, we can use the position of each mass as our state variables. Let be the displacements of mass respectively, from their equilibrium positions.Next, we need to derive the equations of motion for the system. We can start by applying Newton's second law to each mass: