Sunday, December 1, 2019

Stronger than you thought


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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