In the figure below, m 1 = 3.4 kg, m 2 = 5.0 kg, and the coefficient of kinetic

Question

In the figure below, m1 = 3.4 kg, m2 = 5.0 kg, and the coefficient of kinetic friction between the inclined plane and the 3.4-kg block is ?k = 0.24.  Find the magnitude of the acceleration of the masses and the tension in the cord.

a =               m/s2 T =               N In the figure below, m1 = 3.4 kg, m2 = 5.0 kg, and the coefficient of kinetic friction between the inclined plane and the 3.4-kg block is ?k = 0.24. Find the magnitude of the acceleration of the masses and the tension in the cord.

Explanation / Answer

m2 g -T = m2 a


T - mue*m1*g*cos30 - m1*g*sin30 = m1*a


a =( m2*g - mue*m1*g*cos30 - m1*g*sin30) / (m1+m2)


a = ((5*9.8)- (.24*3.4*9.8*cos30)-(3.4*9.8*sin30))/(3.4+5)

a = 3.02 m/s^2


T = m2*(g-a) = 33.85 N

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