Physics  Newtons laws
posted by Anonymous .
A block (mass m1 = 8kg) is moving on an inclined plane, coefficient of kinetic friction of 0.45, whose angle is 30degrees. This block is connected to a second block (mass m2 = 22kg) by a cord that passes over a small frictionless pulley. Find the acceleration of each block and the tension in the cord.

Write separate equations of motion for each block and solve for the two unknowns: acceleration a and rope tension T, which are the same for both masses.
Uk = 0.45; other symbols obvious.
T  m1*g*sin30 m1*g*cos30*Uk
= m1*a
m2*g T = m2*a
Add the equations to eliminate T and solve for a.