1. The problem statement, all variables and given/known data In figure, block 1 of mass m1 = 2.0 kg and block 2 of mass m2 = 6.0 kg are connected by a massless string over a massless and frictionless pulley and are initially held in place. Block 2 is on a rough surface, with coefficient of kinetic friction of 0.1 and tilted at θ = 30o while a horizontal force F of magnitude 3.0 N acts on it. Block 1 is on a frictionless surface. Find the normal force acting on block 2. Find the magnitude of acceleration of block 2. 2. Relevant equations F= ma Fg = -mg Fg, y =-mg*cos θ Fg, x =mg*sin θ 3. The attempt at a solution I drew a free body diagram of each individual block, for block one I found it has a force in the positive x-direction, the force is the force of tension (therefore it will move in the direction of tension) and the force of gravity on block one is cancelled by the normal force so F T = m_ 1 * a. I solved for a, and got a = FT/m1. My reason for doing this is I reasoned the acceleration is the same for both blocks, which I may be wrong in assuming this. I solved for the x and y component of the horizontal force that acts on block 2, because my x axis runs up to down and the up direction is positive for the y axis. To solve for the normal force, I found the y-component of the force from gravity, which is -m2 g cos 30o. I then said Y-component of gravity + Normal Force + Y-component of horizontal force = 0 and solved for Normal force. I got ~49.19 N Then to find tension I added all the forces in the x-direction and solved for tension. Tension + Friction Force + Force of Gravity in the X-direction + X-component of the horizontal force = m2 a I solved for a earlier, and got FT/m1 I did the algebra and found the force of tension to be -0.31 N to be the force of tension, which has to be wrong because when I sum the forces I get a negative number. Basically I would like to know how to solve for tension and acceleration when all you're given is the coefficient of friction, a force, the angle of the incline, and the two masses. In class we did an example where we had to solve for the tension, but we were given all this information and the acceleration of the object.