Please show all steps to Part B i Serure | https View?ass 181435 Force Acting al

Question

Please show all steps to Part B

i Serure | https View?ass 181435 Force Acting along Line Part A ctamihing Cartesian camponents of fore The tenzion in cable D4 ha: a magnitude af To- 6.75 lb. Find the Cartecian compenents of tension Tba which is directed from Dta A Express your answers, sepurated by commas, to three significant figures Laarning Goal: lc determine Carteclan torce components rom magn tude and detamine poaHon and Hints TpA-49, 303,2.0 ilb,j lb, kb Submit 9.30 ft, d _ 6.60 ft. and h40 ft The balhold n place by three cables MEAnswe Gve Up Correct ths tem, keep all the dighs andround as the tinal top bahere suolt ng your anciser Part B leenmning an unknown forr If point Dis the orign of the Cartesian caorcintc sysm, pointAis located ( 4.40, 3.fin, 2.80) ft point B ie koli.lt (2.20, 2.00. 1 .00) ft, and paint ecaned at (2.20,S.70,-1.80) Et If the1tnsions in tables 0A and DBare Iba = 6.75 lband 2be = 4.13 lb, tespecively, what i th" tension in cable DC? Express your answer to throe signtticant figures and Include the approprlate units Hints TixVaue Units

Explanation / Answer

Angle between DA and DB is given by :

cos theta = DA.DB/|DA||DB|

= [-4.40*2.20+-3.60*-3.60 +1.90*2.80]/[sqrt(4.4^2+3.6^2+1.9^2)* sqrt(2.2^2+3.6^2+2.8^2)]

= 0.2833

Tdc = sqrt(6.75^2+4.13^2+2*6.75*4.13*0.2833)

= 8.855lb

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