m Which of the following correctly expresses the relationsh

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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A hoop of mass m and radius r rolls down an inclined plane. After it reaches the bottom, the hoop
is moving horizontally with speed v and rotating with angular speed w.
m
Which of the following correctly expresses the relationship between these variables? (Note: the
rotational inertia of a hoop is I = mr2)
O mgh = 1/2 mv² - 1/2 lw²
mgh = 1/2 Iw? - 1/2 my²
O mgh = 1/2 mv²
O mgh = 1/2 lIw?
O mgh = 1/2 mv² + 1/2 lw²
Transcribed Image Text:A hoop of mass m and radius r rolls down an inclined plane. After it reaches the bottom, the hoop is moving horizontally with speed v and rotating with angular speed w. m Which of the following correctly expresses the relationship between these variables? (Note: the rotational inertia of a hoop is I = mr2) O mgh = 1/2 mv² - 1/2 lw² mgh = 1/2 Iw? - 1/2 my² O mgh = 1/2 mv² O mgh = 1/2 lIw? O mgh = 1/2 mv² + 1/2 lw²
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