Initially the whole system is at rest and now a force of $62\ N$ is applied on the block $B$ as shown in the figure. Find the time taken by $'A'$ to fall from the block $'B'$ ........... $\sec$

- A
$\frac{8}{3}$

- B
$3$

- C
$4$

- D
$5$

In figure, two blocks are separated by a uniform strut attached to each block with frictionless pins. Block $A$ weighs $400\,N$, block $B$ weighs $300\,N$, and the strut $A B$ weigh $200\,N$. If $\mu=0.25$ under $B$, determine the minimum coefficient of friction under $A$ to prevent motion.

A force $F = Kt$ (where $t$ is the time in seconds and $K = 2\, N/s$) is applied on $2 \,kg$ block at $t = 0$ as shown in the figure. The displacement of $8\ kg$ block till the time when $2\, kg$ block start slipping on $8\,kg$ block will be (coefficient of friction between $2\,kg$ block and $8\, kg$ block is $0.2$ and between $8\, kg$ block and surface is zero,

$g = 10m/s^2)$

$A$ block of mass $M$ is placed on $a$ horizontal surface and it is tied with an inextensible string to $a$ block of mass, as shown in figure. A block of mass $m_0$ is also placed on $M$ The minimum value of $\mu$ between the block $M$ and $m_0$ (taking horizontal surface frictionless) for which all the three blocks move together, is

Given in the figure are two blocks $A$ and $B$ of weight $20\ N$ and $100\ N,$ respectively. These are being pressed against a wall by a force $F$ as shown. If the coefficient of friction between the blocks is $0.1$ and between block $B$ and the wall is $0.15$, the frictional force applied by the wall on block $B$ is ........... $N$

- [JEE MAIN 2015]

The blocks are given velocity in the direction shown in figure. Co-efficient of friction between two blocks shown in figure is $μ = 0.5$. Take $g = 10\ m/s^2$

(considering $4\ kg$ block doesn't fall on ground)

Consider the following statements

$(i)$ Time when relative motion between them is stopped is $1.4\ second$.

$(ii)$ Time when relative motion between them is stopped in $1.2\ second$

$(iii)$ The common velocity of the two blocks is $8\ m/s$, towards right.

$(iv)$ The displacement of the $4\, kg$ block when relative motion stopped is$10.8\ m$.

Which of the fstatements is/are correct