$A$ uniform rope of mass $M$ and length $L$ is fixed at its upper end vertically from a rigid support. The tension in the rope at a distance $l$ from the rigid support is:

Three identical blocks of masses $m = 2\; kg$ are pulled by a force $F = 10.2\; N$ with an acceleration of $0.6\; m/s^2$ on a frictionless surface. What is the tension (in $N$) in the string between the blocks $B$ and $C$?

If the tension in the cable of a $1000 \,kg$ elevator is $1000 \,kg$ weight,the elevator

Two identical weights of mass $M$ are linked by a thread wrapped around a frictionless pulley with a fixed axis. $A$ small weight of mass $m$ is placed on one of the weights. What is the reaction force between $m$ and $M$?

At what value of $m_1$ will the $8\, kg$ mass be at rest?

Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. $A$ force $F$ applied on the upper string produces an acceleration of $2\,m/s^2$ in the upward direction in both the blocks. If $T$ and $T'$ are the tensions in the two parts of the string,then $T$ and $T'$ are: