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

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Presentation on theme: "Rolling – It’s More Complicated than You Thought!."— Presentation transcript:

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

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

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

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

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

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

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.equal to its initial height B.less than its initial height C.greater than its initial height D.zero 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

18


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