Determine whether the following equations are dimensionally homogeneous.
f=m\cdot a+c\cdot v+k\cdot z
f is a pressure, a is an angular acceleration, c is a damping coefficient (a pressure x time / a displacement), m is a mass, k is a stiffness constant (a pressure/ a displacement), v is an angular velocity, and z is a displacement.
$[m\cdot a] = M^{\Box}L^{\Box}T^{\Box}$
$[c\cdot v] = M^{\Box}L^{\Box}T^{\Box}$
$[k\cdot z] = M^{\Box}L^{\Box}T^{\Box}$
