Rotational Inertia

Rotational Inertia#

Question Text#

A length of massless thread is wound around a solid spool of mass \(M\) and radius \(R\). The end of the thread is attached to a horizontal bar as shown in the figure. If the solid spool of thread is dropped from rest and falls without slipping, its acceleration will be:

Hint: You will need to look up the moment of inertia for the solid spool of thread. You should assume it is a “solid disk or cylinder about a cylinder axis”.

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Answer Section#

  • \(g\)

  • \(3g \over 4\)

  • \(2g\)

  • \(2g \over 3\)

  • \(g \over 2\)

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.