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

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Presentation transcript:

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

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?

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?

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

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

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

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

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

How fast is the bottom of a tank tread moving?

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?

+ 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:

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

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

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

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