Consider a block of mass M and basal area S that attempts to slide down an inclined plane at an angle  β. Between the block and the plane there is a very thin layer of a Newtonian fluid of thickness e, density ρ and viscosity μ. Additionally, the block is tied to a spring of constant k and natural length l, as shown in the diagram in the figure. Determine the initial equilibrium position x0 of the system.

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Consider a block of mass M and basal area S that attempts to slide down an inclined plane at an angle  β. Between the block and the plane there is a very thin layer of a Newtonian fluid of thickness e, density ρ and viscosity μ. Additionally, the block is tied to a spring of constant k and natural length l, as shown in the diagram in the figure.

Determine the initial equilibrium position x0 of the system.

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