Question

Thread wound around a solid cylinder of mass $M$ and radius $R$ . It is allowed to fall as shown. Its acceleration is

• A. $g$
• B. $3g/2$
• C. $g/3$
• D. $2g/3$

Answer 1

Answer: (D)

$mg-T=ma...(1)$
$\tau =I\alpha$
$RT=\left(\frac{m{R}^2}{2}\right)\frac{a}{R}$
$T=\frac{ma}{2}...\left(2\right)$
Solving $(1)\&(2)$
$A=2g/3$