Problem 7 Yo-yo Consider a yo-yo of mass m and radius R, and treat it as a solid disk. The string is coiled around the yo-yo at a radius R/2. We release the yo-yo while holding one end of the string. (a) How does the acceleration of the center of mass/gravity of the yo-yo relate to the angular acceleration of the yo-yo? (Make sure you decide which direction is positive for both the rotational motion and linear motion). (b) Start with free-body diagrams (extended and simple) to find the linear acceleration of the yo-yo.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 7 Yo-yo
Consider a yo-yo of mass m and radius R, and treat it as a solid disk. The string
is coiled around the yo-yo at a radius R/2. We release the yo-yo while holding one
end of the string. (a) How does the acceleration of the center of mass/gravity of
the yo-yo relate to the angular acceleration of the yo-yo? (Make sure you decide
which direction is positive for both the rotational motion and linear motion). (b)
Start with free-body diagrams (extended and simple) to find the linear acceleration
of the yo-yo.
Transcribed Image Text:Problem 7 Yo-yo Consider a yo-yo of mass m and radius R, and treat it as a solid disk. The string is coiled around the yo-yo at a radius R/2. We release the yo-yo while holding one end of the string. (a) How does the acceleration of the center of mass/gravity of the yo-yo relate to the angular acceleration of the yo-yo? (Make sure you decide which direction is positive for both the rotational motion and linear motion). (b) Start with free-body diagrams (extended and simple) to find the linear acceleration of the yo-yo.
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