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Rolling – It’s More Complicated than You Thought!

Rolling – It’s More Complicated than You Thought!. Draw the Path of the ✕ on Your Paper for at Least 2 Revolutions. The Red LED traces the path of the ✕ . The Orange LED traces the path of the center. Make any Necessary Correction to Your Drawing.

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Rolling – It’s More Complicated than You Thought!

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  1. Rolling – It’s More Complicated than You Thought!

  2. Draw the Path of the ✕ on Your Paper for at Least 2 Revolutions

  3. The Red LED traces the path of the ✕. The Orange LED traces the path of the center. Make any Necessary Correction to Your Drawing

  4. A wheel rolls by you at constant velocity. Which part of the wheel is moving the fastest? the bottom the center the top the point out in front all points move with the same speed

  5. Which part of the wheel is moving the slowest? the bottom the center the top the point out in front all points move with the same speed

  6. A Rolling Wheel is the Synthesis of a Rotating Wheel and a Translating Wheel = + V = 0 V V Rotating Wheel Translating Wheel Rolling Wheel

  7. Long Exposure Photograph of Rolling Bike Wheel. Fastest Spokes are Blurred

  8. A Flashing LED is Attached to a Hollow Cylinder and Rolled Down a Ramp

  9. The Fastest Point on a Rolling Object is at the Top The Slowest Point on a Rolling Object is at the Bottom

  10. The Fastest Point on a Rolling Object is at the Top The Point on a Rolling Object in Contact with the Ground has a Velocity of Zero! The Slowest Point on a Rolling Object is at the Bottom

  11. How fast is the bottom of a tank tread moving?

  12. When a car is travelling at 65 mph, which part of the wheel is going that fast too? the bottom the center the top the point out in front all points move with the same speed

  13. There are 2 ways of visualizing a rolling object, rotation and translation combined and pure rotation. Rotation and translation analyzes rolling into 2 separate motions: + Pure rotation synthesizes these motions into 1 motion, an object trying to rotate about its contact point:

  14. What is the rotational inertia of a hollow sphere rotating about a point on its surface if I about its center is:

  15. Show that the acceleration of a hollow sphere on a ramp is equal to:

  16. Show that the acceleration of a hollow cylinder on a ramp is equal to:

  17. A solid cylinder is released from rest from height h and rolls down a ramp without slipping, then rolls up a frictionless ramp. Its final height is on the frictionless ramp is equal to its initial height less than its initial height greater than its initial height zero

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