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anonymous
 one year ago
Could someone help me with this problem please? about torque and momentum
anonymous
 one year ago
Could someone help me with this problem please? about torque and momentum

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4here we have to apply the fundamental equations of mechanics, namely: \[\Large \left\{ \begin{gathered} {{\mathbf{F}}_{\mathbf{A}}} + {{\mathbf{F}}_{\mathbf{B}}} + M{\mathbf{g}} = {\mathbf{0}} \hfill \\ {\mathbf{GA}} \times {{\mathbf{F}}_{\mathbf{A}}} + {\mathbf{GB}} \times {{\mathbf{F}}_{\mathbf{B}}} = {\mathbf{0}} \hfill \\ \end{gathered} \right.\] please note that, those are vector equations.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4now using a refernece system in the drawing: dw:1435473234858:dw we can write these subsequent scalar equations, which are equivalent to those vector ones: \[\Large \left\{ \begin{gathered} {F_A}\cos \theta + {F_B}\cos \theta  Mg\cos \theta = 0 \hfill \\  {F_A}\sin \theta  {F_B}\sin \theta + Mg\sin \theta = 0 \hfill \\ {F_A}\cos \theta  {F_A}\sin \theta  {F_B}\cos \theta  {F_B}\sin \theta = 0 \hfill \\ \end{gathered} \right.\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4please, note that the third equation, solve your problem. As homework, you can check these other 2 equations: \[\Large \left\{ \begin{gathered} {F_A} = \frac{{1  \tan \theta }}{2}Mg \hfill \\ \hfill \\ {F_B} = \frac{{1 + \tan \theta }}{2}Mg \hfill \\ \end{gathered} \right.\] where M is the mass of our object, and g is the gravity, namely g=9.81 m/sec^2, or g=32 feet/sec^2

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0Nicely done @Michele_Laino

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4thanks!! @Astrophysics :)

rvc
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino is awesome in physics and math :)
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