4. A toy that you mended yourself consists of a uniform bar that has two small balls glued to its ends. The bar has a length L and a mass M, while the balls have masses m and 2m, and can be treated as point masses. 4a. Draw this piece, label its geometrical characteristics in terms of the listed variables; chose and label a coordinate system, and locate/calculate the center of mass of this toy.
4. A toy that you mended yourself consists of a uniform bar that has two small balls glued to its ends. The bar has a length L and a mass M, while the balls have masses m and 2m, and can be treated as point masses. 4a. Draw this piece, label its geometrical characteristics in terms of the listed variables; chose and label a coordinate system, and locate/calculate the center of mass of this toy.
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Transcribed Image Text:4.
A toy that you mended yourself consists of a uniform bar that has two small balls
glued to its ends. The bar has a length L and a mass M, while the balls have masses m and 2m,
and can be treated as point masses.
4a. Draw this piece, label its geometrical characteristics in terms of the listed variables; chose and
label a coordinate system, and locate/calculate the center of mass of this toy.
4b. Find the moment of inertia of this toy about an axis perpendicular to the bar through its center.
4c. Find the moment of inertia of this toy about an axis parallel to the bar that goes through
both balls.
4d. Find the kinetic energy of this toy while rotating about an axis going through its center of
mass, perpendicular to the bar.
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