May 15th, 2019, 10:08 AM  #1 
Newbie Joined: May 2019 From: moscow Posts: 4 Thanks: 0  3D Statics problem, box on an incline
Hello Got a following problem: Box that weighs 300N in resting on a frictionless incline. Incline is on the Zplane. Box is held at Place by cable AB and force F. Force F is in the direction Z. Determine the tension in the cable AB and the force F. Components go as follows: $\displaystyle sum Fx =0 (3.2/6.21)AB=0$ $\displaystyle sum Fy=0 (4.4/6.21)AB300N=0$ $\displaystyle sum Fz=0 (3/6.21)ABF=0$ 6.21 is the lenght of AB by my calculations and ABx is 3.2m ABy is 4.4m and ABz is 3m Correct answer to this problem is 104N and 215N. and so far i have not gotten even close to these im not even sure if my equations of equilibrium are correct. Help desperately needed. Thanks. Picture of problem: https://imgur.com/a/01fNriK 
May 15th, 2019, 12:05 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,923 Thanks: 1518 
$\vec{F} + \vec{W} + \vec{T} + \vec{F_N} = 0$ Looks like you forgot the normal force exerted on the box by the incline ... 

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box, incline, problem, statics 
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