A cantilever beam shown in the accompanying figure is used to support a load acting on a...

A cantilever beam shown in the accompanying figure is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation:

where

y = deflection at a given x location, (m)

w = distributed load

E = modulus of elasticity (N/m²)

I = second moment of area (m⁴)

x = distance from the support as shown (m)

L = length of the beam (m)

What is the appropriate unit for w, if the preceding equation is to be homogeneous in units? Show all steps of your work.