Figure shows two blocks of masses m and M connected bky a string pasing 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 rotte about this axis. Find the accelerationof the mass M asuming that the string does not slip on the pulley.

Figure shows two blocks of masses m and M connected bky a string pasin

1.	Figure shows two blocks of masses m and M connected bky a string pasing 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 rotte about this axis. Find the accelerationof the mass M asuming that the string does not slip on the pulley.
Answer» Correct Answer - B 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)`

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