(a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges?

Solution 1PE

Torque in rotational motion is the analogue of force in a linear motion. The mathematical expression of torque is given as , where is the distance of the point at which the force is applied and the pivot point about which the object rotates and is the angle between the force and the position vector of the line joining points of applied force and the pivot point.

Part a

Step 1 of 2

Given data:

The force N

The distance 0.850 m

The angle

Therefore, the torque

Nm

Nm

Therefore, the exerted torque is 46.75 Nm.

Part b