## anonymous one year ago 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?

1. anonymous

2. 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~!

3. IrishBoy123

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4. Michele_Laino

here is the situation of your problem: |dw:1440941027910:dw| the equation of the motion of both objects, are: $\Large \left\{ \begin{gathered} {\mathbf{F}} + {\mathbf{T}} + {{\mathbf{R}}_2} = {m_2}{\mathbf{a}} \hfill \\ {{\mathbf{R}}_1} + \left( { - {\mathbf{T}}} \right) = {m_1}{\mathbf{a}}\quad \hfill \\ \end{gathered} \right.$

5. 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|

6. Michele_Laino

furthermore \mu is the coefficient of friction

7. anonymous

hello I'm back sorry forgot to check this problem bc of school worksss. Will read your text thanks @Michele_Laino

8. anonymous

is the force with an angle a compression force right? Not a tension

9. anonymous

I'll draw a FBD via coordinate system

10. anonymous

|dw:1441155866872:dw|

11. anonymous

anyone is my FBD right?

12. anonymous

I thought in block 1 the equation will be T1 - F ?