My family recently moved. In our new home, all of the showers have glass doors as opposed to shower curtains. These doors sit on one set of hinges. After every shower I always wipe down the shower door so that the water doesn’t start to leave marks. I always start wiping close to the hinge moving towards the door handle. I’ve noticed that once I get to about the halfway point I always accidentally push the door open. At first, I never quite understood this. I’m pushing with roughly the same force the entire time, but at this point, about halfway, the door always swings open. Then I have to hold the door shut so I can continue to wipe down the door. Now, with my physics knowledge, I understand why. Torque =rFsinθ. Since I am always pushing perpendicular to the door, sinθ=sin(90)=1. I’m pushing with roughly the same force, so F remains constant. As I move from the hinge to the door handle, the r increases as that is the distance from the fulcrum of the force applied. Without even realizing it, as I move across the door, I am increasing the torque to the bathroom door with my increasing distance. With whatever force I am using, at about the halfway point on the door, I am using enough force at enough distance that I can generate the torque necessary to push the door open.
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