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Question
Why is it easier to open a door by applying the force at the free end of it?
Solution 1
It is easier to open a door by applying the force at the free end of it because of the larger the perpendicular distance, less is the force needed to turn the body.
Solution 2
If we open or shut a door, we need to apply less force at the free end because according to the formula of the moment of force
M = Force × Perpendicular distance of force from axis of rotation
The magnitude of the force is inversely proportional to the perpendicular distance of force from the axis of rotation. Thus, as the distance between the point of force application and hinge will increase, the amount of force required to open the door will decrease.
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