anonymous
  • anonymous
In the figure, block 1 of mass m1 = 1.8 kg and block 2 of mass m2 = 1.4 kg are connected by a string of negligible mass. Block 2 is pushed by force Upper F Overscript right-arrow EndScripts of magnitude 18 N and angle θ = 34°. The coefficient of kinetic friction between each block and the horizontal surface is 0.16. What is the tension in the string?
Physics
katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
Will try answering this problem in a few hours after school. Just posted here in advance. Thank you for those who are willing to help. God bless mates~!
IrishBoy123
  • IrishBoy123
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Michele_Laino
  • Michele_Laino
here is the situation of your problem: |dw:1440941027910:dw| the equation of the motion of both objects, are: \[\Large \left\{ \begin{gathered} {\mathbf{F}} + {\mathbf{T}} + {{\mathbf{R}}_2} = {m_2}{\mathbf{a}} \hfill \\ {{\mathbf{R}}_1} + \left( { - {\mathbf{T}}} \right) = {m_1}{\mathbf{a}}\quad \hfill \\ \end{gathered} \right.\]
Michele_Laino
  • Michele_Laino
developing those equation with respect to the coordinate system x,z as in the drawing above, we get: \[\Large \left\{ \begin{gathered} F\cos \theta + \left( {F\sin \theta + {m_2}g} \right)\mu - T = {m_2}a \hfill \\ - \mu {m_1}g + T = {m_1}a \hfill \\ \end{gathered} \right.\] where a is the requested acceleration, and T is the tension of the string between the 2 objects |dw:1440941667928:dw|
Michele_Laino
  • Michele_Laino
furthermore \mu is the coefficient of friction
anonymous
  • anonymous
hello I'm back sorry forgot to check this problem bc of school worksss. Will read your text thanks @Michele_Laino
anonymous
  • anonymous
is the force with an angle a compression force right? Not a tension
anonymous
  • anonymous
I'll draw a FBD via coordinate system
anonymous
  • anonymous
|dw:1441155866872:dw|
anonymous
  • anonymous
anyone is my FBD right?
anonymous
  • anonymous
I thought in block 1 the equation will be T1 - F ?

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