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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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.
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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 ...
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