Chrome File Edit View History Bookmarks People Window Help CO 2 ))) 8896 C, Thu

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Chrome File Edit View History Bookmarks People Window Help CO 2 ))) 8896 C, Thu Jul 20 3:54 PM Nawaf Q, E A C C0 www.saplinglearning.com/ibiscms/modibis/view.php?id-3805087 Question 10 of 15 IncorrectIncorrectIncorrect Incorrect Incorrect Incorrect IncorrectIncorrect Due Date Points Possible Grade Category: Description Policies: Map Sapling Learning A cylinder of radius 259 and a sphere of radius 8.22 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the cylinder's angular speed to the sphere's angular speed be? Number You can check your You can view soluti You can keep trying you get it right or g There is no penalty For multiple-choice cyl sph on the number of c eTextbook Help With This To Web Help & Vide Annotated Bibliog... 1).doex 20

Explanation / Answer

Accoridng to the given problem,

cylinder moment of inertia = I = ½mr² = ½2.59²

sphere moment of I = (2/5)mr² = (2/5)m8.22²

let the cylinder's angular speed be and the sphere's angular speed =

total k.e = rotational k.e + linear k.e

for cylinder = ½I² + ½m²r² ---------------> [v = r]

for sphere = ½I² + ½m²r²

=> ratio = 1

=> ²[½2.59² + 2.59²] / {²[(2/5)8.22² + 8.22²]} = 1

(/)² ~= 9.401

=> cylinder/sphere (/) = 3.066

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