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 $\left(g=10 \mathrm{m} {\mathrm{s}}^{-1}\right)$

A $40 \mathrm{kg}$ slab rests on a frictionless floor. A $10 \mathrm{kg}$ block rests on top of the slab. The static coefficient of friction between the block and slab is $0.60$ while the kinetic coefficient is $0.40$. The $10 \mathrm{kg}$ block is acted upon by a horizontal force of $100 \mathrm{N}$. If $g=9.8 \mathrm{m} {\mathrm{s}}^{-2}$, the resulting acceleration of the slab will be-

In the arrangement shown in the figure, mass of the block $B$ and $A$ is $2 \mathrm{m}$ and $m$ respectively. Surface between $B$ and floor is smooth. The block $B$ is connected to the block $C$ by mass means of a string pulley system. If the whole system is released, then find the minimum value of mass of block $C$ so that $A$ remains stationary w.r.t. $B$. Coefficient of friction between $A$ and $B$ is $\mu$.

A car is going at a speed of $6 \mathrm{m} {\mathrm{s}}^{-1}$ when it encounters a $15 \mathrm{m}$ slope of angle $30°$. The friction coefficient between the road and tyre is $0.5$. The driver applies the brakes. The minimum speed of car with which it can reach the bottom is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

In the figure shown a ring of mass $M$ and a block of mass $m$ are in equilibrium. The string is light and pulley $P$ dose not offer any friction and coefficient of friction between pole and $M$ is $\mu$. The frictional force offered by the pole on $M$ is