From bdb74646a230a0cda6aa257aa92933e7fa4d6f45 Mon Sep 17 00:00:00 2001 From: johnruina Date: Sun, 16 Aug 2026 10:00:58 -0400 Subject: [PATCH] 2026-08-16 10:00:57: Spring Force --- .obsidian/workspace.json | 41 ++++++++++++------ .../Pasted image 20260816073410.png | Bin .../Pasted image 20260816081041.png | Bin .../Spring Force.md | 35 +++++++++++++++ root.md | 2 +- 5 files changed, 64 insertions(+), 14 deletions(-) rename Pasted image 20260816073410.png => Assets/Pasted image 20260816073410.png (100%) rename Pasted image 20260816081041.png => Assets/Pasted image 20260816081041.png (100%) create mode 100644 physics/Force and Translational Dynamics/Spring Force.md diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 8898717..06b9727 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -27,16 +27,30 @@ "state": { "type": "markdown", "state": { - "file": "physics/Force and Translational Dynamics/Circular Motion.md", + "file": "physics/Force and Translational Dynamics/Gravitational Force.md", "mode": "source", "source": false }, "icon": "lucide-file", - "title": "Circular Motion" + "title": "Gravitational Force" + } + }, + { + "id": "33e06a1402832f18", + "type": "leaf", + "state": { + "type": "markdown", + "state": { + "file": "physics/Force and Translational Dynamics/Spring Force.md", + "mode": "source", + "source": false + }, + "icon": "lucide-file", + "title": "Spring Force" } } ], - "currentTab": 1 + "currentTab": 2 }, { "id": "25da4f0a48a8e7cd", @@ -220,22 +234,25 @@ "obsidian-excalidraw-plugin:New drawing": false } }, - "active": "a9ad2051e13d9678", + "active": "33e06a1402832f18", "lastOpenFiles": [ - "physics/Force and Translational Dynamics/Forces and Freebody Diagrams.md", + "physics/Force and Translational Dynamics/Gravitational Force.md", "physics/Force and Translational Dynamics/Newton's First Law.md", "physics/Force and Translational Dynamics/Newton's Second Law.md", - "physics/Force and Translational Dynamics/System and Center of Mass.md", "physics/Force and Translational Dynamics/Newton's Third Law.md", - "physics/Force and Translational Dynamics/Gravitational Force.md", - "physics/Force and Translational Dynamics/Force and Translational Dynamics.md", + "physics/Force and Translational Dynamics/System and Center of Mass.md", + "physics/Force and Translational Dynamics/Spring Force.md", "physics/Force and Translational Dynamics/Circular Motion.md", - "Pasted image 20260816081041.png", + "physics/Force and Translational Dynamics/Forces and Freebody Diagrams.md", + "physics/Force and Translational Dynamics/Force and Translational Dynamics.md", + "root.md", + "physics/Thermodynamics.md", + "physics/acceleration.md", + "Assets/Pasted image 20260816073410.png", + "Assets/Pasted image 20260816081041.png", "biology/Cell Structure and Function/Origins of Cell Compartmentalization.md", - "Pasted image 20260816073410.png", "biology/Chemistry of Life/structure of water and hydrogen bonding.md", "biology/Chemistry of Life/Macromolecules.md", - "physics/acceleration.md", "math/multivariable calculus.md", "math/partial derivative.md", "physics/quantum mechanics.md", @@ -255,8 +272,6 @@ "Assets/Pasted image 20260814131131.png", "chemistry/polar molecules.md", "physics/Force and Translational Dynamics", - "physics/thermal expansion.md", - "physics/Thermodynamics.md", "Assets/Pasted image 20260813174454.png", "Assets/Pasted image 20260813175101.png", "biology/Chemistry of Life", diff --git a/Pasted image 20260816073410.png b/Assets/Pasted image 20260816073410.png similarity index 100% rename from Pasted image 20260816073410.png rename to Assets/Pasted image 20260816073410.png diff --git a/Pasted image 20260816081041.png b/Assets/Pasted image 20260816081041.png similarity index 100% rename from Pasted image 20260816081041.png rename to Assets/Pasted image 20260816081041.png diff --git a/physics/Force and Translational Dynamics/Spring Force.md b/physics/Force and Translational Dynamics/Spring Force.md new file mode 100644 index 0000000..ff8b374 --- /dev/null +++ b/physics/Force and Translational Dynamics/Spring Force.md @@ -0,0 +1,35 @@ +[[Force and Translational Dynamics]] + +Spring force uses Hooke's law: $$\vec F_s=-k\Delta \vec x$$ +$k$ = stiffness of spring +$\Delta x$ = displacement from measured from a relaxed length +negative sign means force points back towards equilibrium + +Vertical spring stretched the spring until $k\Delta x = mg$ at equilibrium. + +Hooke's law in magnitude is $|\vec F_s|=k|\Delta x|$ +Spring constant k measures in N/m. Bigger k means more stiff (obviously). +Spring force is a restoring force that points towards equilibrium position of object spring relationship. +For a vertical spring with hanging mass, relaxed length is not equilibrium because gravity stretches spring + +## Ideal Spring: +The mass of an ideal spring is treated as negligible compared to the objects attached to it. + +- You can ignore the spring's own weight in calculations. +- You focus only on the interaction between the spring and the attached object. + +An ideal spring follows a linear force-displacement relationship. + +- The force is directly proportional to how far the spring is stretched or compressed. +- Stretch it twice as far and it pulls back with twice the force. +- This behavior stays consistent each time you use the spring. + +## Direction of Spring Force +When a string is stretched: +* $\Delta x$ is positive +* Spring force is negative, pulling back +When a string is compressed: +* $\Delta x$ is negative +* Spring force is positive, pushing forward + +WHEN CALCULATING THE $\Delta x$ OF A VERTICAL SPRING WITH A HANGING MASS, USE THE RELAXED POSITION NOT THE EQUILIBRIUM POSITION. \ No newline at end of file diff --git a/root.md b/root.md index 4610499..9bac609 100644 --- a/root.md +++ b/root.md @@ -1 +1 @@ -# the big **R** +"Excess is easy, anyone can do it. What's beyond most… is making it succinct—the art of abbreviation."