The pulley of Atwood.smachine has a moment of inertia .I. about its axis and its radius is R. Find the magnitude of acceleration of the two blocks assuming the string is light and does not slip on he pulley.

The pulley of Atwood.smachine has a moment of inertia .I. about its ax

1.	The pulley of Atwood.smachine has a moment of inertia .I. about its axis and its radius is R. Find the magnitude of acceleration of the two blocks assuming the string is light and does not slip on he pulley.
Answer» Solution :SUPPOSE the block of mass .M. goes down with an ACCELERATION .a.. The ANGULAR acceleration of the pulley is, therefore `alpha = (a)/(R )` `Mg-T_(1)=Ma` `T_(2)-mg=ma` `T_(1)R-T_(2)R=I alpha = L(a)/(R )` Solving the equations `a=((M-m)gR^(2))/(I+(M+m)R^(2))`