Part of ME-07 — Properties of Solids & Liquids

Mnemonic Master

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1. DB-24 (Drop-Bubble, 2 and 4): "Drops have 2 surfaces, Bubbles have 4" — actually: DROP has 1 surface → ΔP\Delta P = 2S/R; BUBBLE has 2 surfaces → ΔP\Delta P = 4S/R. The numbers 2 and 4 match the mnemonic DB-24.

2. "Young Stretches, Bulk Squeezes, Shear Slides" (YBS): Y → longitudinal deformation (stretch/compress along one axis). B → volumetric deformation (squeeze from all sides). G (Shear) → tangential deformation (slide layers past each other).

3. "Velocity loves Radius Squared" (v_t ∝ r2r^{2}): Terminal velocity goes as r2r^{2}. Radius doubles → velocity quadruples. Write: v_t = k r2r^{2} where k = 2(ρ−σ)g / 9η.

4. "P-E-Y-U-B" — stress-strain sequence: Proportional → Elastic → Yield → Ultimate → Breaking. Mnemonic: "Please Explain Your Unique Behaviour".

5. Thermal Expansion: "1-2-3 rule": Linear α (1 direction), Area 2α (2 directions), Volume 3α (3 directions). One, Two, Three — multiply α by the number of dimensions expanded.

6. Capillary rise sign: "WARMs — Water Rises": Water has acute contact angle → cosθ > 0 → h > 0 → RISE. Mercury has obtuse θ → cosθ < 0 → h < 0 → DEPRESSION.

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