A trolley is being pulled up an incline plane a man sitting on it (as shown in figure). He applies a force of $250 \mathrm{N}$. If the combined mass of the man and trolley is $100 \mathrm{kg}$, the acceleration of the trolley will be $\left[\sin 15°=0.26\right]$

A man think about $4$ arrangements as shown to raise two small bricks each having mass $m$. Which of the arrangement would take minimum time?

In the arrangement shown in the figure neglect the masses of the pulley and string and also friction. The accelerations of blocks $A$ and $B$ are

A block is placed on an inclined plane moving towards right horizontally with an acceleration $a_0=g$. The length of the plane $AC=1 \mathrm{m}$. Friction is absent everywhere. The time taken by the block to reach from $C$ to $A$ is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

In the arrangement shown in figure pulley $A$ and $B$ are massless and the thread is in extensible. Mass of pulley $C$ is equal to $m$. If friction in all the pulleys is negligible, then

In the figure shown if friction coefficient of block $1 \mathrm{kg}$ and $2 \mathrm{kg}$ inclined plane is ${\mu }_1=0.5$ and ${\mu }_2=0.4$ respectively, then

A block of mass of $10 \mathrm{kg}$ lies on a rough inclined plane of inclination $\theta ={\sin }^{-1}\left(\frac{3}{5}\right)$ with the horizontal when a force of $30 \mathrm{N}$ is applied on the block parallel to and upward the plane, the total force exerted by the plane on the block is nearly along (coefficient of friction is $\mu =\frac{3}{4}$) $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

In a given figure two masses $m_1$ and $m_2 \left(m_2>m_1\right)$ are at rest in equilibrium position. Find the tension in string $AB:$