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”.

• $$g$$

• $$3g \over 4$$

• $$2g$$

• $$2g \over 3$$

• $$g \over 2$$