1. The problem statement, all variables and given/known data Object B with mass m is sliding on an object A with mass M. Object A is being pulled by a string with acceleration A. There is no friction. (Picture Uploaded) 1) Find the maximum value of A that allows m to stay on M (sliding) 2) Find the x and y value of the acceleration of object B 3) In this case, what is the value of the force T (the force that is pulling Object A) 4) Find the value of the normal force F that is acting on object A. 5) As an alternate version of this question, suppose that force T was given instead of acceleration A. 2. Relevant equations Newton's Law; F=ma 3. The attempt at a solution 1) In the case of object B, there are three forces; the normal force N, mg and inertia mA setting a new coordinate with X and Y where Y is perpendicular to the hypotenuse and X perpendicular to Y, I showed that acceleration in Y direction must equal 0 and the A in this case is the A for 1). The answer I got was (mgcosθ-N)/msinθ 2) Using the coordinate and the forces from 1), I figured out that X direction of the acceleration equals mAcosθ+mgcosθ. The angle between X and x is θ, so x direction would be -(mAcosθ+mgsinθ)cosθ, and y direction would be -(mAcosθ+mgsinθ)sinθ 3) Because there is only one force given from the outside, which is T, T=∑ma for a in the x direction. T=-(mAcosθ+mgsinθ)cosθ+MA 4) Normal force equals the force acting on the surface which is object B's force in the y direction F=(mAcosθ+mgsinθ)sinθ 5) This would be a simple change, just writing the answer from 3) like A= f(T) Overall I have tried to solve all these and came up with answers. But I'm not sure if they are correct. If someone could check them I would be grateful.