The iron gate of a building is 3m broad It cn be opened by applying a force of 100N - Physics - Force work power and energy

Question

The iron gate of a building is 3m broad It cn be opened by
applying a force of 100N at the middle of the gate Calculate the
least force required to open this gate Where should the force be
applied?

Nitin Kakwani · Accepted Answer

Torque= Force $times$ Distance

Torque required is same in both cases to open the door.
More the distance from the hinge lesser the force and the maximum distance possible is 3m.

Equating torques
$100timesfrac{3}{2}=Ftimes 3$
F= 50 N applied at end of the door. (Ans)

The iron gate of a building is 3m broad. It cn be opened by applying a force of 100N at the middle of the gate. Calculate the least force required to open this gate. Where should the force be applied?