Answer to Question #215284 in Physics for Sera

Question

In figure 25, a block of mass m1 is on a plane inclined at angle θ with the horizontal. It is attached to another mass m2 by means of a string, that passes over a pulley at the top of the incline. For m1 = 6 kg, m2 = 4 kg, θ = 10o, and the coefficient of kinetic friction between the incline plane and m1 is 0.20, find the (a) acceleration of the masses and (b) tension in the string when the system is moving.

Answer 1

a)

$$(m_1+m_2)a=(m_2-m_1\sin{10}-\mu m_1\cos{10})g\\ (6+4)a=(4-6\sin{10}-(0.2)(6)\cos{10})9.8\\a=1.74\frac{m}{s^2}$$

b)

$$T=4(9.8-1.74)=32.2\ N$$