A magnetorheological-fluid hydraulic mount includes a hydraulic-mount partition plate assembly, a hydraulic-mount decoupler, an electric coil, and a flexible membrane assembly. The partition plate assembly has first and second sides, has a non-magnetorheological-fluid first orifice, and has a magnetorheological-fluid second orifice. The first orifice has a first terminus positioned at the first side and a second terminus positioned at the second side. The second orifice has a first end positioned at the first side and has a second end positioned at the second side. The hydraulic-mount decoupler is operatively connected to the first orifice. The electric coil is disposed to magnetically influence the second orifice. The flexible membrane assembly has a first membrane portion fluidly-isolating, on the first side of the partition plate assembly, the first end from the first terminus and has a second membrane portion fluidly-isolating, on the second side of the partition plate assembly, the second end from the second terminus.