Two bodies of masses $m_{1}=5\,kg$ and $m _{2}=3\,kg$ are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass $m _{1}$ will be$....N$ [Take $g=10\,ms ^{-2}$ ]
$30$
$40$
$50$
$60$
A frictionless cart $A$ of mass $100\ kg$ carries other two frictionless carts $B$ and $C$ having masses $8\ kg$ and $4\ kg$ respectively connected by a string passing over a pulley as shown in the figure. What horizontal force $F$ must be applied on the cart so that smaller cart do not move relative to it .......... $N$
Figure shows four blocks that are being pulled along a smooth horizontal surface. The masses of the blocks and tension in one string are given. The pulling force $F$ is ............ $ N$
A wedge of height $H$ (fixed) and inclination $\alpha $ (variable) is moving on a smooth horizontal surface with constant acceleration $g\ m/s^2$ . A small block is placed at bottom of incline as shown in figure, slips on the smooth surface of incline . Choose $CORRECT$ statement about time taken by block to reach the top of incline
Two particle of mass $m$ each are tied at the ends of a light string of length $2 \mathrm{a}$. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance $'a'$ from the center $\mathrm{P}$ (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force $F$. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes $2 \mathrm{x}$ is
A wooden block of mass $2\; kg$ rests on a soft horizontal floor. When an iron cylinder of mass $25\; kg$ is placed on top of the block, the floor yields steadily and the block and the cylinder together go down with an acceleration of $0.1\; m /s^2$. What is the action of the block on the floor $(a)$ before and $(b)$ after the floor yields ? Take $g = 10 \;m /s^2$. Identify the action-reaction pairs in the problem