Question

In the figure to the right, m1 = 4.0 kg, m2= 9.5 kg, Ɵ= 31° and the coefficient of kinetic friction between m2 and the surface is µk = 0.23. Determine the magnitude of the acceleration of m1 and m2

Answer 1

$$(m_1+m_2)a=m_1g+m_2g\sin{31}-\mu m_2g\cos{31}\\=g(m_1+m_2(\sin{31}-\mu \cos{31}))\\(4+9.5)a=9.8(4+9.5(\sin{31}-0.23\cos{31}))\\a=5.1\frac{m}{s^2}$$