This is a problem posted by a member on Brilliant.org (https://brilliant.org/problems/acceleration-of-hinges/). I found one way to solve the problem, but it is really long, and i am looking for some different solutions. The problem is- Four similar rods of uniform density are connected with frictionless hinges. This frame is placed on a horizontal smooth tabletop, such that its shape is a square. Vertex P is acted upon by a horizontal force in the direction of the diagonal, and due to this force it begins to move at an acceleration of ##a_P##. If the initial acceleration of the opposite vertex Q is ##a_Q= k.a_P## then find k. k is positive if Q moves away from P and k is negative if Q moves closer to P. Please post any solution or approach that can be applied in it. Thanks.