A Solid Cylinder Of Mass M And Radius R Has A String Wound Around It

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A Solid Cylinder Of Mass M And Radius R Has A String Wound Around It

g wound around it. A person holding the string pulls it vertically upward, as shown above, such that the cylinder is suspended in midair for a brief time interval t and its center of mass does not move. The tension in the string is T, and the rotational inertia of the cylinder about its axis is 1 2 MR 2 11. The linear acceleration of the person's hand during the time interval t is (A) T -mg m (B) 2g (C) g 2 (D) T m
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11. = TR = I = _ MR2 which gives = 2T/MR and since F = 0 then T = Mg so = 2g/R the acceleration of the person's hand is equal to the linear acceleration of the string around the rim of the cylinder a = R = 2g B
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