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Worked Examples
The WIKI contains a large number of example problems covering all the major topics of Newtonian mechanics. All of these example problems illustrate the S.I.M. problem solving approach. The examples are organized below by the relevant major branch of the [Hierarchy of Models]. By navigating to the principle page for each subgroup of problems, you can see the problems grouped by common interactions, procedures and topics.
Examples from Motion and Acceleration
- Accelerate, Decelerate
- An Exercise in Continuity
- A Velocity for Words
- Campus Tour
- Dwarf Mistletoe
- Fan-Powered Ice Boat
- Fountain
- Keys Please
- Lissajous Figures and the Bowditch Pendulum
- Overdriving Headlights
- Space Station
- Speed Trap
- Throwing a Baseball 1 (The Basics)
- Throwing a Baseball 2 (Vectors)
- Training Flight
- Where Do We Meet?
Examples from Momentum and Force
- Apparently I've Lost Weight
- Atwood's Machine
- Basics of Static Friction
- Cannonballs in a Boxcar
- Chain Reaction
- Finding Normal
- Head-on Collision
- I'm Inclined to Tilt the Coordinates
- Is That Normal?
- Let it Rain
- Momentum Transport
- Off the Wall
- Out of Bounds
- Pushing a Box
- Pushing a Box Some More
- Pushing a Box with Friction
- Pushing a Box with Friction Some More
- Pushing Two Boxes
- Rope Bridge
- Skydiving
Examples from Mechanical Energy and Work
- Bungee Jump
- Bungee Jumping for the Brave
- Diagrams and Mechanical Energy
- Give it a Kick
- Path Independence
- Roller Coaster Diet?
- Spring has Sprung
- When 7000 hp Just Isn't Enough
- Why are you always so negative?
Examples from Angular Momentum and Torque
- A ball hits a bar and sticks to it.
- Ballistic Pendulum Revisited
- Lost in Space
- Moment of Inertia of a Block
- Moment of Inertia of a Solid Sphere
- Not-So-Simple Pendulum
- Rolling Coin
- Spinning Top
- Twirling Skater
Multi-Concept Problems for Mixed Review
- Accelerating Flywheel
- A Walk on the Pond
- Banking the Curve
- Big Ben
- Capture Cross-Section
- Close the Gate
- Cue the Right-Angle Bracket
- Down the Alley
- Down the Ramp
- Down the Well
- Locking Your Bike
- Mass Between Two Springs
- Mass on a Vertical Spring
- Pull Harder!
- Rotating a Space Ship
- Sliding Yardstick
- The Ladder Problem
- Watch Your Head
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