A string going over a massless frictionless pulley connects two blocks of masses 6.4 kg and 13 kg. As shown on the picture below, the 6.4 kg block lies on a 32◦ incline; the coefficient of kinetic friction between the block and the incline is μ= 0.3. The 13 kg block is hanging in the air. The 13 kg block accelerates downward
while the 6.4 kg block goes up the incline
with the same acceleration.
Given
g= 9.8 m/s^2, what is the acceleration of the system?
Answer in units of m/s^2.