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Elements of Translational Mechanical System and Rotational Mechanical System

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  Elements of Translational Mechanical System and Rotational Mechanical System Mechanical system modelling plays an important role in control engineering and dynamic analysis. Each mechanical model consists of fundamental elements responsible for energy storage, energy dissipation, and motion control. Physical motion converts into mathematical form using force–motion relationships. Mechanical motion mainly appears in two forms: Linear motion: Translational Mechanical System. Angular motion: Rotational Mechanical System. Fundamental Force–Motion Relationships in Mechanical Systems Elements of Translational Mechanical System A translational mechanical system represents motion along a straight path. Movement occurs in a horizontal or vertical direction under the action of applied force. Mathematical modelling expresses behaviour using displacement, velocity, and acceleration relations. Newton’s Second Law governs translational motion:  F = m a F = ma Motion relationships: v = d x...