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https://texercises.com/exercise/tension-in-cord/
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Exercise:
Find the tension in the two blue cords shown in the figure. Neglect the mass of the cords. Ase that the drawn angle is alpO and the mass of the block is mO. center tikzpicture filldrawcolorred fillred!!white -- arc:-:--cycle; drawthick colorblue --+-:cm-|.; filldrawcolorblack fillblack!!white rectangle .; filldrawcolorblack fillblack!!white . rectangle -; drawthick colorblue++-:cm--+-.; filldrawcolorblack fillyellow ++-:cm coordinate C circle .cm; filldrawthick colorblack fillorange C+-.-. rectangle C+.-.; tikzpicture center

Solution:
Geg m m alpha alp % GesForceF siN % The vertical component of the left cord's tension must compensate the weight thus the force in the left cord is SolQtyFLfracmgsinalphamX*ncgX/sindalpXN al sscFL FLF fracm ncgsinalp FL approx FLS. % The magnitude of the horizontal component of the left cord's tension is equal to the tension in the right cord: SolQtyFRfracmgtanalphamX*ncgX/tandalpXN al sscFR FRF fracm gtanalp FR approx FRS. % sscFL FLF &approx FLS sscFR FRF &approx FRS
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\(\LaTeX\)-Code
Exercise:
Find the tension in the two blue cords shown in the figure. Neglect the mass of the cords. Ase that the drawn angle is alpO and the mass of the block is mO. center tikzpicture filldrawcolorred fillred!!white -- arc:-:--cycle; drawthick colorblue --+-:cm-|.; filldrawcolorblack fillblack!!white rectangle .; filldrawcolorblack fillblack!!white . rectangle -; drawthick colorblue++-:cm--+-.; filldrawcolorblack fillyellow ++-:cm coordinate C circle .cm; filldrawthick colorblack fillorange C+-.-. rectangle C+.-.; tikzpicture center

Solution:
Geg m m alpha alp % GesForceF siN % The vertical component of the left cord's tension must compensate the weight thus the force in the left cord is SolQtyFLfracmgsinalphamX*ncgX/sindalpXN al sscFL FLF fracm ncgsinalp FL approx FLS. % The magnitude of the horizontal component of the left cord's tension is equal to the tension in the right cord: SolQtyFRfracmgtanalphamX*ncgX/tandalpXN al sscFR FRF fracm gtanalp FR approx FRS. % sscFL FLF &approx FLS sscFR FRF &approx FRS
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Attributes & Decorations
Tags
equilibrium, force, mechanics, physics, statics, vector
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Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
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Link