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Question

The wooden door of a building is 3 m broad. It can be opened by applying a force of 100 N at the middle of the door. Calculate the least force which can open the door.


A

55 N

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B

52 N

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C

60 N

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D

50 N

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Solution

The correct option is D

50 N


Distance between middle of the gate and fixed end of the gate =32=1.5 m
Moment of Force about the fixed edge:
= F×d=100×1.5=150 N m
The least force (F1) can be applied at the free end of the door.
By principal of moments:
Then, the moment of force = F1×3
150=F1×3
F1=50 N


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