  We construct ${\mathcal N}=4 \,$ $\, D(2,1;\alpha)$ superconformal quantum
mechanical system for any configuration of vectors forming a V-system. In the
case of a Coxeter root system the bosonic potential of the supersymmetric
Hamiltonian is the corresponding generalised Calogero-Moser potential. We also
construct supersymmetric generalised trigonometric Calogero-Moser-Sutherland
Hamiltonians for some root systems including $BC_N$.
