A **yo-yo** (solid uniform cylinder) of mass $M$, radius $R$ unwinds under gravity. Its downward acceleration is:
- $g$
- $g/2$
- $2g/3$
- $g/3$
Show answer and solution
Correct 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 $T = Mg/3$.