A metal can containing condensed mushroom soup has mass 225 g, height 11.0 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 20.0° to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s.   a) Assuming mechanical energy conservation, calculate the moment of inertia of the can. b) Why can't the moment of interia be calculated from I=(1/2)mr^2 for the cylindrical can?

Physics for Scientists and Engineers with Modern Physics
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Chapter10: Rotation Of A Rigid Object About A Fixed Axis
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A metal can containing condensed mushroom soup has mass 225 g, height 11.0 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 20.0° to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s.

 

a) Assuming mechanical energy conservation, calculate the moment of inertia of the can.

b) Why can't the moment of interia be calculated from I=(1/2)mr^2 for the cylindrical can?

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