A block is placed on a rough horizontal plane. A time dependent horizontal force $F=kt$ acts on the block. Here $k$ is a positive constant. Acceleration time graph of the block is

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 $AB:$

A small ball of mass $M$ is held in equilibrium with two identical springs as shown in the figure. Force constant of each spring is $k$ and relaxed length of each spring is $\frac{\mathcal{l}}{2}$. What is distance between the ball and roof?

The ideal mechanical advantage (i.e. the ratio of the weight $W$ to the pull $P$ for equilibrium) of the combination of pulleys shown is:

A block resting on a smooth inclined plane is acted upon by a force $F$ as shown. If mass of block is $2 \mathrm{kg}$ and $F=20 \mathrm{N}$ and $\sin 37°=\frac{3}{5}$, the acceleration of block is

A block of mass $3 \mathrm{kg}$ is at rest on a rough inclined plane as shown in the figure. The magnitude of net force exerted by the surface on the block will be $\left(g=10\mathit{ }\mathrm{m} {\mathrm{s}}^{-2}\right)$

A block of mass $\mathrm{m}=2 \mathrm{kg}$ is resting on a rough inclined plane of inclination $30°$ as shown in shown in figure. The coefficient of friction between the block and the plane is $\mu =0.5$. What minimum force $F$ should be applied perpendicular to the plane on the block, so that block does not slip on the plane $\left(g=10 \mathrm{m} {\mathrm{s}}^{-1}\right)$