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Finding Moment of Inertia
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Moment of Inertia of a Solid Sphere — Integrate to find the moment of inertia of a solid sphere.
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Moment of Inertia of a Block — Evaluate the integral to find the moment of inertia of a rectangular block.
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Ballistic Pendulum Revisited — A version of the ballistic pendulum problem in which rotational effects are important.
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Not-So-Simple Pendulum — Compares the simple pendulum model with a slightly more detailed one.
Rotational Version of Newton's 2nd Law
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Accelerating Flywheel — Acceleration of a symmetric object about a fixed axis under constant torque (single-axis).
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Spinning Top — The rapidly spinning Symmetric Top exhibiting Precession under the force of gravity (near-earth) is a classic Physics problem.
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Big Ben — Check Parliament's math by calculating the period of Big Ben's pendulum.
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The Ladder Problem — A standard statics problem.
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Sliding Yardstick — What happens to a yardstick (or meter stick) supported by two fingers as those fingers are slowly moved toward each other?
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Rolling Coin — A Coin rolling on its edge with a slight tilt will trace out a circle. What is its radius?
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Locking Your Bike — Determine how the weight of a bicycle plus rider is divided between the wheels in various circumstances.
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Not-So-Simple Pendulum — Compares the simple pendulum model with a slightly more detailed one.
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Down the Alley — Determine the final speed of a ball that is initially sliding without rotation.
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Down the Ramp — Find the acceleration of a ball rolling without slipping on an inclined plane.
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Down the Well — A mass falling while attached to a massive pulley.
Rotational Energy
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Rotating a Space Ship — Changes in Angular Velocity when the Moment of Inertia is changed, but no torque applied.
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Pull Harder! — Examine the work needed to change the radius of rotation of an object rotating in a circle.
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Twirling Skater — Changes in Angular Velocity when the Moment of Inertia is changed, but no torque applied.
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Down the Alley — Determine the final speed of a ball that is initially sliding without rotation.
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Down the Ramp — Find the acceleration of a ball rolling without slipping on an inclined plane.
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Down the Well — A mass falling while attached to a massive pulley.
Angular Momentum and Torque
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Spinning Top — The rapidly spinning Symmetric Top exhibiting Precession under the force of gravity (near-earth) is a classic Physics problem.
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Rolling Coin — A Coin rolling on its edge with a slight tilt will trace out a circle. What is its radius?
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Not-So-Simple Pendulum — Compares the simple pendulum model with a slightly more detailed one.
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Down the Ramp — Find the acceleration of a ball rolling without slipping on an inclined plane.
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Down the Well — A mass falling while attached to a massive pulley.
Constant Angular Momentum
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Rotating a Space Ship — Changes in Angular Velocity when the Moment of Inertia is changed, but no torque applied.
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A ball hits a bar and sticks to it. — find the angular velocity and the velocity of the final object's (bar + ball) center of mass
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Lost in Space — The dangers of angular momentum in outer space.
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Pull Harder! — Examine the work needed to change the radius of rotation of an object rotating in a circle.
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Twirling Skater — Changes in Angular Velocity when the Moment of Inertia is changed, but no torque applied.
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Ballistic Pendulum Revisited — A version of the ballistic pendulum problem in which rotational effects are important.
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Down the Alley — Determine the final speed of a ball that is initially sliding without rotation.
Rolling Without Slipping
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Down the Alley — Determine the final speed of a ball that is initially sliding without rotation.
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Down the Ramp — Find the acceleration of a ball rolling without slipping on an inclined plane.
Statics
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The Ladder Problem — A standard statics problem.
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Sliding Yardstick — What happens to a yardstick (or meter stick) supported by two fingers as those fingers are slowly moved toward each other?
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Locking Your Bike — Determine how the weight of a bicycle plus rider is divided between the wheels in various circumstances.