Figure shows two blocks of masses m and M connected by a string passing over a pulley. The horizontal table over which the mass m slides is smooth. The pulley has a radius r and moment of inertia I about its axis and it can freely rotate about this axis. Find the acceleration of the mass M assuming that the string does not slip on the pulley.

Answer

B

Explanation

Acording to the equation
`Mg-T_1=Ma`…..1
`T_2=ma`………2
`rarr(T_1-T_2)=(I_a)/r^2` [because a=ralpha]……..e
if we dd the equation 1 and 2 we will get
`Mg+T_2-T_1=Ma+ma`…..4
`rarr Mg-Ia/r^2=Ma+ma`
`rarr (M+m+I/r^2)a=Mg`
`rarr a=(Mg)/(M+m+I/r^2)`