Two masses $m_1 = 3\,kg$ and $m_2 = 7\,kg$ are tied to a string and are hanging over a light frictionless pulley. What is the acceleration of the masses when the system is free to move (in $,m/s^2$)? $[g = 10\,m/s^2]$

$A$ light spring balance hangs from the hook of another light spring balance,and a block of mass $M \, kg$ hangs from the lower one. Which of the following statements is true regarding the scale readings?

$A$ block of mass $1\,kg$ is suspended by a string of mass $1\,kg$ and length $1\,m$ as shown in the figure. Given $g = 10\,m/s^2$,calculate the tension in the string at its mid-point. (in $,N$)

$A$ block of mass $1\,kg$ is suspended by a string of mass $1\,kg$ and length $1\,m$ as shown in the figure. $(g = 10\,m/s^2)$. Calculate the tension (in $N$) in the string at its lowest point.

Two masses of $5\, kg$ and $10\, kg$ are connected to a pulley as shown. What will be the acceleration of the system if the pulley is set free? ($g =$ acceleration due to gravity)

To paint the side of a building,a painter normally hoists himself up by pulling on the rope $A$ as shown in the figure. The painter and platform together weigh $200 \, N$. The rope $B$ can withstand a maximum tension of $300 \, N$. Then: