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    Rotating bodies and angular momentum : Rolling objects and moment of inertia

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    A sphere of radius mass M and moment of inertia I rolls down a slope that is inclined at an angle phi to the horizontal. The sphere starts from rest and rolls without slipping a distance L down the slope. Choose coordinates x and theta as shown.

    a) Write down a relationship between x and theta. (Answer x =R*theta)

    b) Write down an expression for the total kinetic energy of the sphere. Use part a to find kinetic energy in terms of x and constants.

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    Solution Preview

    The answer is: x=R*theta.

    To study this rolling procedure, we can focus on one point, say P, on the sphere. Because the sphere rolls down without slipping in the distance ...

    Solution Summary

    Rotating bodies and angular momentum, rolling objects and moment of inertia are investigated. The response received a rating of "5" from the student who originally posted the question.