A door is hinged at one end and is free to rotate about a vertical axis. Does its weight cause any torque about this axis? Give a reason for your answer.
In the direction of is perpendicular to the plane of and . So a force can produce torque only along the axis in the direction normal to force.
The weight of the door acts along –y-axis. The door is in X-Y plane. So it can rotate the door in the axis along the z-axis and not along the y-axis.