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Question-203794




Question Number 203794 by mr W last updated on 28/Jan/24
Commented by mr W last updated on 28/Jan/24
a triangual uniform thin rod frame   with side lengthes a, b, c and mass   M is suspended through three thin  strings with lengthes p, q, r at its  vertexes on the ceiling as shown.  find the tensions in the strings.
$${a}\:{triangual}\:{uniform}\:{thin}\:{rod}\:{frame}\: \\ $$$${with}\:{side}\:{lengthes}\:\boldsymbol{{a}},\:\boldsymbol{{b}},\:\boldsymbol{{c}}\:{and}\:{mass}\: \\ $$$$\boldsymbol{{M}}\:{is}\:{suspended}\:{through}\:{three}\:{thin} \\ $$$${strings}\:{with}\:{lengthes}\:\boldsymbol{{p}},\:\boldsymbol{{q}},\:\boldsymbol{{r}}\:{at}\:{its} \\ $$$${vertexes}\:{on}\:{the}\:{ceiling}\:{as}\:{shown}. \\ $$$${find}\:{the}\:{tensions}\:{in}\:{the}\:{strings}. \\ $$

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