Question

PROBLEM SET # 3: THE EQUILIBRIUM MODEL On the space provided, present correct and organized solutions to the following answered problems. Box the final answers. Detach each page neatly and submit to your instructor. 2. Boxes B and D are positioned as shown in the figure below. The angles are measured with respect to the horizontal. The surfaces are smooth. Determine: GINEERING B 3 kg 45 701 3 Kg 20 (a) the tension in A (Ans.: 37.68 N) (b) the normal force exerted on box B by the inclined surface (Ans.: 5.37 N)

Answer 1

gomence: Tc Consider en plane DYOW FBD of Bloek Di 'd because of plane Te costs Tesinar let Te and no be the tension and normal force in Calle C and Block 20 3glosso make an 39 angle of 45 with the horizontal. 8. with respect to Wedge plane; Te makes angle of 25. Applying Newton and law along the plane si Tey cos25" - 37 sino = 0 Tea 39 simzo co2s 11.IN and Applying newton and law perpendicular - to the plane 1 No a Te sings - 39 Cos20 = 0 No: 3810520 - 11.18ings" - 27.6 - 4.7 22.90

and Now Again, it I assume that Ta and No are the tension in cable a normal force the block B due to inclined surface then, FBD of block Bi on AS Te sim25 145 T us 70 from newton 2nd low along the plane ③ We have; TA = TE Cos 25+ 3g sinto sglosto 11.1 60525 + 29.4 8770 adersler sagen? 27.6 + 10.08 37.68 N NB: 39 costo Applying newton and law perpendicular to the plane ③ Ng + Tesinas 3960570 = 0 Tecsinas = 29.4 60570 - 11.1 Simast 10.05- 4.69 5.367). Tenion im A 31- 68 N Normal force exerted by B due to inclined plane is 5.37(N)- a A