A wedge is floating stably on an interface between a liquid of mass density \(ho\), as shown in Figure P2.14. Let \(x\) be the displacement of the wedge's mass center when it is disturbed from equilibrium.

(a) What is the buoyant force acting on the wedge?

(b) What is the work done by the buoyant force as the mass center of the wedge moves from \(x_{1}\) to \(x_{2}\) ?

(c) What is the equivalent stiffness of the spring if the motion of the mass center of the wedge is modeled as a mass attached to a linear spring?

Transcribed Image Text:

Tr FIGURE P 2.14 h Length of wedge = L Mass density of wedge = Pw