Dimensional analysis can affecting the period of a vibrating beam (usually designated as t and with dimensions of time) are the beam length l, area moment of nertia i, modulus of elasticity e, material density p, and poisson's ratio σ, so that be used in probles other than fluid mechanics ones. the portant variables t = fcn(l, i, e, p,σ) recall that the musof elasticity bas typical uwits of n/m2 and poinon's ratio is dinensionlens
(a) find a dimensionless version of the functional relationship
(b) if e and i must always appear together (meaning that ei is efectively a single variable), find a dimensionless version of the functional relationslip