The following equation can be used to model the deflection of a sailboat mast subject to a...

The following equation can be used to model the deflection of a sailboat mast subject to a wind force:

where f (z) = wind force, E = modulus of elasticity, L = mast length, and I = moment of inertia. Note that the force varies with height according to

Calculate the deflection if y = 0 and dy/dz = 0 at z = 0. Use parameter values of L = 30, E = 1.25 × 108, and I = 0.05 for your computation.