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A door is hinged at one and is free to r...

A door is hinged at one and is free to rotate about a vertical axis [Fig.] Does its weight cause any torque the axis ? Given reason for you answer.

Text Solution

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No. A force can produce torque only along a direction normal to itself as `vectau= vec r xx vecF`.
So, when the door is in the XY-plane, the torque produced by gravity can only be along `+-Z` direction, never about an axis along Y-direction.
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