1. Tardigrade
  2. Question
  3. Physics
  4. Two blocks of masses 2m and 3m are connected through a string which passes over a pulley (disc) of mass m and radius R as shown in figure. If system is released from rest and string does not slip on the pulley, then angular acceleration of the pulley is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two blocks of masses $2m$ and $3m$ are connected through a string which passes over a pulley (disc) of mass $m$ and radius $R$ as shown in figure. If system is released from rest and string does not slip on the pulley, then angular acceleration of the pulley isPhysics Question Image

Solution:

$2mg \,-\,T_1 \,=\,2\,m \times a$... (i)
$T_2\,= 3\,m\times a$...(ii)
$(T_1-T_2)R=\,I\times\alpha$...(iii)
$2mg = (5\times\,m\, \times\,R+\frac{1}{2}mR)\alpha$
$\alpha=\frac{4g}{11R}$