A body of mass $10 \mathrm{kg}$ 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 on an upward the plane, the total reaction by the plane on the block is nearly along,

Block $A$ of mass $4 \mathrm{kg}$ and block $B$ of mass $6 \mathrm{kg}$ are resting on a horizontal surface, as shown in the figure. There is no friction between the block $B$ and the horizontal surface. The coefficient of friction between the blocks is $0.2.$ If the value of $g=10 \mathrm{m} {\mathrm{s}}^{-2}$, then the maximum horizontal force $F$ that can be applied on the block $B$ without any relative motion between $A$ and $B$ is:

Two blocks $A$ and $B$ plane surface as shown in the figure. The mass of block $A$ is $100 \mathrm{kg}$ and that of block $B$ is $200 \mathrm{kg}$. Block $A$ is tied to a stand and block $B$ is pulled by a force $F.$ If the coefficient of friction between the surfaces of $A$ and $B$ is $0.2$ and the coefficient of friction between $B$ and the plane is $0.3,$ then for the motion of $B,$ the minimum value of $F$ will be:

If $100 \mathrm{N}$ force is applied to $10 \mathrm{kg}$ block, as shown in the figure, then the acceleration produced for the slab is:

Block $A$ of mass $35 \mathrm{kg}$ is resting on a frictionless floor. Another block $B$ of mass $7 \mathrm{kg}$ is resting on it, as shown in the figure. The coefficient of static friction between the blocks is $0.5$ while kinetic friction is $0.4.$ If a horizontal force of $100 \mathrm{N}$ is applied to block $B$, then the acceleration of the block $A$ will be: $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

The coefficient of friction between $4 \mathrm{kg}$ and $5 \mathrm{kg}$ blocks is $0.2$ and between $5 \mathrm{kg}$ blocks and ground is $0.1$ respectively. Choose the correct statement.

Block $B$ of mass $2 \mathrm{kg}$ rests on block $A$ of mass $10 \mathrm{kg}$. All surfaces are rough with the value of coefficient of friction as shown in the figure. Find the minimum force $F$ that should be applied on block $A$ to cause relative motion between $A$ and $B$. $\left(g=10 \mathrm{m} {{\mathrm{s}}^{-}}^2\right)$

In the given diagram, what is the minimum value of horizontal external force $F$ on block $A$ so that block $B$ slides on the ground?

The minimum force $F$ required, so that block $A$ slips on block $B$ is