My Math Forum 3D Statics problem, box on an incline
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 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 Z-plane. 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: $\displaystyle sum Fx =0 (3.2/6.21)AB=0$ $\displaystyle sum Fy=0 (-4.4/6.21)AB-300N=0$ $\displaystyle sum Fz=0 (-3/6.21)AB-F=0$ 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: 3,002 Thanks: 1588 $\vec{F} + \vec{W} + \vec{T} + \vec{F_N} = 0$ Looks like you forgot the normal force exerted on the box by the incline ...

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