Question

Doors and windows are hinged at one end why​

Answer 1

Answer:

Because the direction of weight is parallel to y-axis (axis of rotation). A force can produce torque only along direction normal to itself because f = r x F. So, when the door is in the xy-plane, the torque produced by gravity can only be along ±z-direction never about an axis passing through y-direction.

Explanation:

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Answer 2

According to the diagram, where weight of the door acts along negative y-axis.

Torque is not produced by weight about y-axis.

Because the direction of weight is parallel to y-axis (axis of rotation).

A force can produce torque only along direction normal to itself because f = r x F. So, when the door is in the xy-plane, the torque produced by gravity can only be along ±z-direction never about an axis passing through y-direction.

Hence, the weight will not produce any torque about y-axis.