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The sphere of mass M and radius R is rigidly attached to a thin rod of radius r

ID: 1467950 • Letter: T

Question

The sphere of mass M and radius R is rigidly attached to a thin rod of radius r that passes through the sphere at distance 12R from the center. A string wrapped around the rod pulls with tension T. (Figure 1)

Item 15 Part A The sphere of mass M and radius R is rigidly attached to a thin rod of radius r that passes through the sphere at distance R from the center. A string wrapped around the rod pulls with tension T. (Figure 1) Find an expression for the sphere's angular acceleration. The rod's moment of inertia is negligible. Express your answer in terms of the variables T, T, M, and R. Figure 1 'of! Submit My Answers Give Up Radius r

Explanation / Answer

I = (2/5)MR² + M(R/2)² = MR²(2/5 + 1/4) = 13MR²/20

Q = T*r

= Q/I = 20T*r/13MR²

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