Scratchy is trapped at the bottom of a vertical shaft. Itchy is rolling a heavy, thin- walled cylindrical shell (I = MR?) of mass 50 kg and radius 0.50 m toward a 5.0 m long, 30° ramp that leads to the shaft. The angular velocity of the cylindrical shell is 10 rad/s when Itchy releases it at the base of the ramp. All inanimate objects in this "experiment" obey the laws of physics. Itchy 'n' Scratchy are cartoon characters and are subject to the laws of cartoon physics. 5.0 m 30° Itchy Scratchy a) Who gets squashed in the end? That is, will the cylindrical shell make it to the top of the shaft and fall on Scratchy or will it turn around and roll back on Itchy? Show all work used to arrive at your answer. b) Would your answer to part a. change if the "experiment" took place on the moon where g = 1.6 m/s?? Explain your reasoning. c) Would your answer to part a. change if Itchy rolled a different hoop with the same radius and initial angular velocity but a mass of 100 kg? Explain your reasoning. d) Would your answer to part a. change if Itchy rolled a solid cylinder (I = MR?) with the same mass, radius, and initial angular velocity as the hoop? Explain your reasoning.

Scratchy is trapped at the bottom of a vertical shaft. Itchy is rolling a heavy, thin- walled cylindrical shell (I = MR?) of mass 50 kg and radius 0.50 m toward a 5.0 m long, 30° ramp that leads to the shaft. The angular velocity of the cylindrical shell is 10 rad/s when Itchy releases it at the base of the ramp. All inanimate objects in this "experiment" obey the laws of physics. Itchy 'n' Scratchy are cartoon characters and are subject to the laws of cartoon physics. 5.0 m 30° Itchy Scratchy a) Who gets squashed in the end? That is, will the cylindrical shell make it to the top of the shaft and fall on Scratchy or will it turn around and roll back on Itchy? Show all work used to arrive at your answer. b) Would your answer to part a. change if the "experiment" took place on the moon where g = 1.6 m/s?? Explain your reasoning. c) Would your answer to part a. change if Itchy rolled a different hoop with the same radius and initial angular velocity but a mass of 100 kg? Explain your reasoning. d) Would your answer to part a. change if Itchy rolled a solid cylinder (I = MR?) with the same mass, radius, and initial angular velocity as the hoop? Explain your reasoning.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

part a and b and

Scratchy is trapped at the bottom of a vertical shaft. Itchy is rolling a heavy, thin-
walled cylindrical shell (I = MR?) of mass 50 kg and radius 0.50 m toward a 5.0m
long, 30° ramp that leads to the shaft. The angular velocity of the cylindrical shell is
10 rad/s when Itchy releases it at the base of the ramp. All inanimate objects in this
"experiment" obey the laws of physics. Itchy 'n' Scratchy are cartoon characters and
are subject to the laws of cartoon physics.
5.0 m
30°
Itchy
Scratchy
a) Who gets squashed in the end? That is, will the cylindrical shell make it to the
top of the shaft and fall on Scratchy or will it turn around and roll back on
Itchy? Show all work used to arrive at your answer.
b) Would your answer to part a. change if the "experiment" took place on the
moon where g = 1.6 m/s?? Explain your reasoning.
c) Would your answer to part a. change if Itchy rolled a different hoop with the
same radius and initial angular velocity but a mass of 100 kg? Explain your
reasoning.
d) Would your answer to part a. change if Itchy rolled a solid cylinder (I = MR?)
with the same mass, radius, and initial angular velocity as the hoop? Explain
your reasoning.

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