Surface Tension — The "Stretched Membrane" Analogy: Imagine the surface of water as a very thin, tightly stretched rubber sheet. When you place a needle on this "sheet", it sags slightly but doesn't break through — the surface tension holds it. Now imagine cutting a slit in the rubber sheet: the edges would pull apart, just like tearing a water surface. Surface tension S is the force pulling along that imaginary cut line per unit length. A soap bubble is like two rubber sheets back-to-back (inner and outer), so you need twice the force to maintain pressure inside — that is why = 4S/R for a bubble but only 2S/R for a single-surface drop.
Viscosity — The "Thick Honey" Analogy: Viscosity is like stacking many layers of playing cards. If you push the top card, adjacent layers drag on each other — the more "sticky" the fluid, the harder you need to push. Terminal velocity is the speed at which gravity's pull on the falling sphere exactly matches the viscous drag and buoyancy. A larger ball (bigger r) has more surface area AND more inertia from its weight, but weight grows as while drag (6πηrv) grows as r — hence v_t grows as (weight/drag ∝ ).
Young's Modulus — The "Spring Stiffness" Analogy: Stretching a wire is like stretching a very stiff spring. Young's modulus is the spring constant per unit geometry. A thick, short wire is harder to stretch (higher effective stiffness) than a thin, long wire of the same material. Y is a material property only — it doesn't change with the wire's dimensions.