rolling – it’s more complicated than you thought!

18
Rolling – It’s More Complicated than You Thought!

Upload: kioko

Post on 09-Feb-2016

20 views

Category:

Documents


0 download

DESCRIPTION

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. - PowerPoint PPT Presentation

TRANSCRIPT

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

Rolling – It’s More Complicated than You Thought!

Page 2: Rolling – It’s More Complicated than You Thought!

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

Page 3: Rolling – It’s More Complicated than You Thought!

The Red LED traces the path of the ✕. The Orange LED traces the path of the center.

Make any Necessary Correction to Your Drawing

Page 4: Rolling – It’s More Complicated than You Thought!

A. the bottomB. the centerC. the topD. the point out in frontE. all points move with the same speed

A wheel rolls by you at constant velocity. Which part of the wheel is moving the fastest?

Page 5: Rolling – It’s More Complicated than You Thought!

A. the bottomB. the centerC. the topD. the point out in frontE. all points move with the same speed

Which part of the wheel is moving the slowest?

Page 6: Rolling – It’s More Complicated than You Thought!

A Rolling Wheel is the Synthesis of a Rotating Wheel and a Translating Wheel

+ =

Rotating

Wheel

Translating

Wheel

RollingWheel

V = 0 V V

Page 7: Rolling – It’s More Complicated than You Thought!

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

Page 8: Rolling – It’s More Complicated than You Thought!

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

Page 9: Rolling – It’s More Complicated than You Thought!

The Fastest Point on a Rolling Object is at the Top

The Slowest Point on a Rolling Object is at the Bottom

Page 10: Rolling – It’s More Complicated than You Thought!

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

Page 11: Rolling – It’s More Complicated than You Thought!

How fast is the bottom of a tank tread moving?

Page 12: Rolling – It’s More Complicated than You Thought!

A. the bottomB. the centerC. the topD. the point out in frontE. 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?

Page 13: Rolling – It’s More Complicated than You Thought!

+

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:

Page 14: Rolling – It’s More Complicated than You Thought!

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

ICM =23mr2

C : I = mr2

E : I = 53mr2

B : I = 32mr2

A : I = 23mr2

D : I = 43mr2

Page 15: Rolling – It’s More Complicated than You Thought!

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

35gsin(θ)

Page 16: Rolling – It’s More Complicated than You Thought!

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

12gsin(θ)

Page 17: Rolling – It’s More Complicated than You Thought!

A. equal to its initial heightB. less than its initial heightC. greater than its initial heightD. 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

Page 18: Rolling – It’s More Complicated than You Thought!