The tension in the string $AB$ is (pulley and string are massless).  Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$

If the mass of the rope ${\mathrm{OO}}^{\text{'}}$ is $M,$ then tension at mid-point $A$ is

A body is moving on a circular track of radius $R$ at constant speed as shown in figure. If normal reaction at $C$ is $N,$ then