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anonymous
 one year ago
two object arre connected vertically by ligth string. the string connecting 4 kg object (upper) and 5 kg (lower)
a) determine the tension in the upper object T1 and lower object T2. if the system is equilibrium.
anonymous
 one year ago
two object arre connected vertically by ligth string. the string connecting 4 kg object (upper) and 5 kg (lower) a) determine the tension in the upper object T1 and lower object T2. if the system is equilibrium.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436069038362:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3since our system is at equilibrium, we can apply the first law of mechanics. The external forces acting on each object are like below: dw:1436076149316:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3so the subsequent vector equations hold: \[\Large \left\{ \begin{gathered} {M_1}{\mathbf{g}} + {{\mathbf{T}}_{\mathbf{1}}}  {{\mathbf{T}}_2} = {\mathbf{0}} \hfill \\ \hfill \\ {M_2}{\mathbf{g}} + {{\mathbf{T}}_{\mathbf{2}}} = {\mathbf{0}} \hfill \\ \end{gathered} \right.\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3Now using the reference system in my drawing, namely the zaxis, we get the subsequent scalars equations: \[\Large \left\{ \begin{gathered}  {M_1}g + {T_1}  {T_2} = 0 \hfill \\ \hfill \\ {M_2}g + {T_2} = 0 \hfill \\ \end{gathered} \right.\] Please solve that algebraic system for the tensions T_1 and T_2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much!!!

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3Sorry I have made an error of sign, here is the right system: \[\Large \left\{ \begin{gathered}  {M_1}g + {T_1}  {T_2} = 0 \hfill \\ \hfill \\  {M_2}g + {T_2} = 0 \hfill \\ \end{gathered} \right.\]
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