Question

There is a top view of a door of width L being closed by a force F pointed to the right. The door is currently opened at an angle of 60 degrees. The hinge of the door is marked. What is the torque about the hinge that is being applied to the door by force F? FL/2

FL
2FL
sqrt 3 FL/2
Sqrt 2 FL/2

Answer 1

FL/2

Step-by-step explanation:

Torque = force x perpendicular distance or

Perpendicular force x distance

Here component of force perpendicular to door

=
`F\cos \theta`

=
`F\cos60`

`(1)/(2)`

Distance is breadth of the door = L

So torque =
`(F)/(2L)`