A 1.00 kg thin spherical shell rolls without slipping across a level surface, translating at 4.50...
Question:
A 1.00 kg thin spherical shell rolls without slipping across a level surface, translating at {eq}4.50 \frac{m}{s}{/eq}. If the shell's radius is 0.390 m, find the following:
(a) the shell's translational kinetic energy (in J)
(b) the shell's rotational kinetic energy (in J)
Kinetic Energy:
The kinetic energy of a rolling body is evaluated using the body's angular speed, translational speed of the body, the moment of inertia of the body, and mass of the body. The below expression shows the moment of inertia of a spherical body with respect to the center of mass:
{eq}I = \dfrac{2}{3}m{r^2} {/eq}, where:
- m is the mass.
- The radius of the spherical shell is r.
Answer and Explanation: 1
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We are given the following data:
- The mass of thin spherical shell is {eq}m = 1.00\;{\rm{kg}} {/eq}.
- The translational speed of the spherical shell...
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Rolling Motion & the Moment of Inertia
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Chapter 7 / Lesson 8
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The moment of inertia is a representation of the distribution of a rotating object and the amount of mass it contains. Learn about rolling motion and the moment of inertia, measuring the moment of inertia, and the theoretical value.
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