In the system shown in the figure, the acceleration of the $1 \mathrm{kg}$ mass and the tension in the string connecting $A$ and $B$ is,

A block of mass, $m_1=2 \mathrm{kg}$ on a smooth inclined plane at angle $30°$ is connected to a second block of mass, $m_2=3 \mathrm{kg}$ by a cord passing over a frictionless pulley as shown in figure. The acceleration of each block is (assume, $g=10 \mathrm{m} {\mathrm{s}}^{-2}$),

Three masses of $1 \mathrm{kg}\text{,} 6 \mathrm{kg}$ and $3 \mathrm{kg}$ are connected to each other with threads and are placed on table as shown in figure. What is the acceleration with which the system is moving? Take, $g=10 \mathrm{m}{ \mathrm{s}}^{-2}$.

Three equal weights $A\text{,} B$ and $C$ of mass $2 \mathrm{kg}$ each are hanging on a string passing over a fixed frictionless pulley as shown in the figure. The tension in the string connecting weights $B$ and $C$ is,

The figure shows the displacement of a particle going along the $X$-axis as a function of time. The force acting on the particle is zero in the region,

One end of massless rope which passes over a massless and frictionless pulley $P$ is tied to a hook $C$ while the other end is free. The maximum tension that the rope can bear is $360 \mathrm{N}$. With what value of minimum safe acceleration (in $\mathrm{m} {\mathrm{s}}^{-2}$) can a man of $60 \mathrm{kg}$ climb down the rope?