In the given arrangement strings and pulley are light and smooth, what should be mass of block $A$ so that it could remain at rest?

In the given arrangement, friction is absent and strings, pulleys are ideal. The difference of tension $\left(T_1-T_2\right)$ is

In the given arrangement what can be the maximum mass of block $C$ so that blocks $A$ and $B$ move together?

In the given arrangement, if the lift is moving upwards with acceleration $\frac{g}{2},$ then force exerted by the string on ceiling is

The acceleration of block $A$ at the given instant is

The acceleration of block $C$ is

What should be the value of $M^{\text{'}}$ so that the block does not slide over the triangular wedge? All surfaces are smooth.

Blocks $A$ and $B$are initially in equilibrium. The springs and strings are ideal. The accelerations of the blocks $A$ and $B,$ just after the spring-$2$is cut, are respectively

A thin, uniform rod of mass $M$ and length $L$ is rotated with constant angular speed $\omega$ as shown in figure. Tension in the rod at position $A$ is