Posted by Anonymous on .
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.

Physics  Newtons laws 
drwls,
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.