In the arrangement shown,the $2\, kg$ block is held to keep the system at rest. The string and pulley are ideal. When the $2\, kg$ block is set free,by what amount does the tension in the string change? $[g = 10\, m/s^2]$

Three blocks are connected by massless strings on a frictionless inclined plane of $30^{\circ}$ as shown in the figure. $A$ force of $104 \,N$ is applied upward along the incline to mass $m_3$ causing an upward motion of the blocks. What is the acceleration of the blocks (in $\,m / s^2$)? (Assume,acceleration due to gravity,$g=10 \,m / s^2$ )

$A$ body of mass $10 \ kg$ moves a distance of $10 \ m$ with a constant velocity on a smooth inclined plane of angle $\theta = 30^\circ$. Calculate the work done by the force acting on the body in $J$. $[g = 10 \ m/s^2]$

$A$ car is moving on a plane inclined at $30^{\circ}$ to the horizontal with an acceleration of $10 \, ms^{-2}$ parallel to the plane upward. $A$ bob is suspended by a string from the roof of the car. The angle in degrees which the string makes with the vertical is ...... . (Take $g = 10 \, ms^{-2}$)

$A$ body sliding on a smooth inclined plane requires $4$ seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top?

In the figure shown,$A$ and $B$ are free to move. All the surfaces are smooth. Then for $(0 < \theta < 90^o)$: