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[Risolto] Forze di Newton in inglese

  

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Two masses $m_A=3.3 \mathrm{~kg}$ and $m_B=5.7 \mathrm{~kg}$ are on inclines $\left(\theta_A=55^{\circ}, \theta_B=27^{\circ}\right)$ and are connected together by a string as shown in figure. The coefficient of kinetic friction between each mass and its incline is $\mu=0.11$. If $m_A$ moves up, and $m_B$ moves down (careful!), determine their acceleration (in $\mathrm{m} / \mathrm{s}^2$ ). [Ignore the masses of the (frictionless) pulley and the cord.]
(NB: the acceleration is POSITIVE if in the same direction as $\vec{v}$ (green arrow), NEGATIVE otherwise)

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motive force Fm = ma*g*sin 55° = 26,51 N

opposite force Fo = g(mb*(sin 27°+cos 27°*0,11)+ma*cos 55°*0,11)

Fo = 9,806*(2,588+0,559+3,3*0,063) = 32,90 N > Fm

...which means that friction will prevent masses from any motion and, therefore,  relevant acceleration will be equal to zero !!



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