A tank is divided into two sections by a 1 × 1-m square gate that is hinged at A. A coup...

A tank is divided into two sections by a 1 × 1-m square gate that is hinged at A. A couple of magnitude 490 N ⋅ m is required for the gate to rotate. If one side of the tank is filled with water at the rate of and the other side is filled simultaneously with methyl alcohol at the rate of determine at what time and in which direction the gate will rotate.