Answer to Question #215285 in Physics for Sera

Question

In figure 25, the following are given: m1 = 10 kg, m2 = 5 kg, θ=60o, and the coefficient of friction between the inclined plane and block m1 is 0.10. When the system is in motion after being released from rest, what is (a) the tension in the string and (b) the acceleration of the system?

Answer 1

a)

$$(m_1+m_2)a=(-m_2+m_1\sin{60}-\mu m_1\cos{60})g\\ (10+5)a=(-5+10\sin{60}-(0.1)(10)\cos{60})9.8\\a=2.06\frac{m}{s^2}$$

b)

$$T=5(9.8+2.06)=59.3\ N$$