Physics - Circular Motion Question with Solution | TestHub

There are three blocks of masses ${\mathrm{m}}_1=\mathrm{m},{\mathrm{m}}_2=4\mathrm{m}$ and ${\mathrm{m}}_3=\mathrm{m}$. The two block system is kept over a smooth hemisphere with two different arrangement one by one as shown in figure (i) & (ii) respectively are connected with massless & inextensible string. In arrangement figure (i), after releasing the system from rest acceleration of blocks is found to be $\left(\mathrm{a}=\frac{5\sqrt{3}}{2}\right)\mathrm{m}/{\mathrm{s}}^2$. In second arrangement block ${\mathrm{m}}_1$ & ${\mathrm{m}}_2$ are kept symmetrically. Find the acceleration of block (in $\mathrm{m}/{\mathrm{s}}^2$ ) after releasing the system from rest according to figure (ii).