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A Uniform Ball with Diameter of 10 Cm 2.2×103 kgm22.2 \times 10 ^ { - 3 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }

question 145

Essay

A uniform ball with diameter of 10 cm rolls without slipping on a horizontal tabletop. The moment of inertia of the ball about an axis through its center is 2.2×103 kgm22.2 \times 10 ^ { - 3 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 } translational speed of its center is 0.45 m/s.
(a) What is its angular speed of the ball about its center of mass?
(b) What is the rotational kinetic energy of the ball?
(c) What is the ball's angular momentum about its center of mass?


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