Gform rod of density p, cross-sectional area a, mod ulus of elasticity e1 and equilibrium length is clamped at one end; and at the other end, it is welded to another uniform rod of corresponding properties p2, a2, e2 and l2. the longitudinal vibration of the composite rod system is considered (a) find the boundary conditions and identify them as "geometric" or "natural" boundary conditions (b) find the equation for the natural frequencies of the system.