a torque of 100Nm is required to open a door. WHAT IS the minimum distance of the handle fromt he hinge. if the door is to be pulled open wth a force at handle not greater than 50N?

At least .

Explanation:

The torque that a force exerts on a lever is equal the product of the following:

.

The force in this question is (at most) . That is: .

is maximized when . In other words, the force on the door gives the largest-possible torque when that force is applied perpendicular to the door. When , .

If the force here is applied at a distance of meters away from the hinge (the fulcrum of this door,) the torque generated would be:

.

That torque is supposed to be at least . That is:

.

.

In other words, the force needs to be applied at a point a minimum distance of away from the hinge of this door.