  We report a chemical substitution-induced ferromagnetic quantum critical
point in polycrystalline Ni$_{1-x}$Rh$_x$ alloys. Through magnetization and
muon spin relaxation measurements, we show that the ferromagnetic ordering
temperature is suppressed continuously to zero at $x_{crit} = 0.375$ while the
magnetic volume fraction remains 100% up to $x_{crit}$, pointing to a second
order transition. Non-Fermi liquid behavior is observed close to $x_{crit}$,
where the electronic specific heat $C_{el}/T$ diverges logarithmically, while
immediately above $x_{crit}$ the volume thermal expansion coefficient
$\alpha_{V}/T$ and the Gr\"uneisen ratio $\Gamma = \alpha_{V}/C_{el}$ both
diverge logarithmically in the low temperature limit, further indication of a
ferromagnetic quantum critical point in Ni$_{1-x}$Rh$_x$.
