2. A spool of thread consists of a cylinder of radius R₁ with end caps of radius R₂ as depicted in the end view shown in the Figure. The mass of the spool, including the thread, is m, and its moment of inertia about an axis through its center is I. The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force 7 acting to the right is applied to the free end of the thread. (i) (ii) Ro R₁ T Determine the direction of the friction force f. What is the ratio of f to 7 (in terms of m, I, R₁ and R₂):

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Chapter1: Units, Trigonometry. And Vectors
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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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2. A spool of thread consists of a cylinder of radius R₁ with end caps of radius R₂ as depicted
in the end view shown in the Figure. The mass of the spool, including the thread, is m, and
its moment of inertia about an axis through its center is I. The spool is placed on a rough,
horizontal surface so that it rolls without slipping when a force 7 acting to the right is
applied to the free end of the thread.
(ii)
Ro
R₁
T
Determine the direction of the friction force f.
What is the ratio of f to 7 (in terms of m, I, R₁ and R₂):*
Transcribed Image Text:2. A spool of thread consists of a cylinder of radius R₁ with end caps of radius R₂ as depicted in the end view shown in the Figure. The mass of the spool, including the thread, is m, and its moment of inertia about an axis through its center is I. The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force 7 acting to the right is applied to the free end of the thread. (ii) Ro R₁ T Determine the direction of the friction force f. What is the ratio of f to 7 (in terms of m, I, R₁ and R₂):*
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