A yoyo is constructed by attaching three uniform, solid disks
along their central axes as shown. The two outer disks are
identical, each with mass M, radius R,
and moment of inertia 1/2MR2. The central,
smaller disk has mass M/2 and
radius R/2. A light, flexible string of negligible
mass is wrapped counterclockwise around the central disk of the
yoyo. The yoyo is then placed on a horizontal tabletop and the
string is gently pulled with a constant force F. The
coefficient of friction between the yoyo and the tabletop
is μ. The tension in the string is not sufficient to
cause the yoyo to leave the tabletop.
Develop an expression for the moment of inertia of the yo-yo
about the contact point with the table.
RIH₁₂ Case 1: Case 2: F F
A yoyo is constructed by attaching three uniform, solid disks along their central axes as shown. The two outer disks are
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A yoyo is constructed by attaching three uniform, solid disks along their central axes as shown. The two outer disks are
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