A **yo-yo** (solid uniform cylinder) of mass $M$, radius $R$ unwinds u…

Question

A **yo-yo** (solid uniform cylinder) of mass $M$, radius $R$ unwinds under gravity. Its downward acceleration is:

Accepted Answer

C. $2g/3$

**Newton:** $Mg - T = Ma$.
**Torque about CM:** $TR = I\alpha = (MR^2/2)(a/R)$ ⇒ $T = Ma/2$.
**Sub:** $Mg - Ma/2 = Ma$ ⇒ $a = 2g/3$. Tension $T = Mg/3$.

Answer

$g$

Answer

$g/2$

Answer

$g/3$

A yo-yo (solid uniform cylinder) of mass $M$, radius $R$ unwinds under gravity. Its downward acceleration is:

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