To estimate the maximum acceleration of an elevator, an engineer places a 54 N weight on a scale in the elevator. The maximum scale reading is 60 N when the elevator accelerates upward. What is the acceleration of the elevator? ANS. a=1.09 m/s^2

3 kN/m 2 m 4 m What is the equation of dy,/dx,? -0.5x23 + 3.75x,² -6x2 + C3 + C4 -0.5x,3 + 3.75x,2 - 6x2 + C3 -1.5x,3 + 3.75x,² -6x2 + C3 D -0.5x,3 + 3.75x,2 -6x2

Using the following dimensional scales x' = x/l; y' = y/l; u' = u/U; v' = v/U; p' = p/(pU²); B' = B/(pU²/1); 0 = (T-T.)/AT; Re = UL/v; Pr = v/a; Sc = v/Dab, show that the governing equations can be written in the following non-dimensional form: continuity: x-motion: y-motion: Energy: Species a: du' ax' u +3y= 0 u' du' ax' Əx' +v' du' Əy' +v'. == ay' 30 u' +v'. Əx' ƏWA ax' де dy! +v' aw A Əy' др' ax' (0²u' a²u' + + 2/12 (3²1/²/² + 0²1/²1) + Bx Reax¹² dy' = ap' -1 (2²0² + 3²1/²) + By + ay' Reax¹² dyr² 1 a²0 a²0 dyr² Re Prax¹² + 1 ResTWA +2 J²WA ax¹2 ay ¹2

Learning Goal: Consider the mass and pulley system shown. Mass m₁ = 32 kg and mass m₂ = 10 kg. The angle of the inclined plane is given, and the coefficient of kinetic friction between mass m² and the inclined plane IS Uk = 0.12. Assume the pulleys are massless and frictionless. (Figure 1) Figure 99 F Sunny 271 1 of 1