Newton's Laws of Motion

The normal force acting on block in the situation shown is $N.$ If all the surfaces are smooth, then the value of $N$ is

In the arrangement shown, all surfaces are frictionless and pulley and string are ideal. The maximum value of $F$ so that the blocks remain at rest with respect to wedge is

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In the arrangement shown in figure the string and pulley are light. Value of$F$ (in $\mathrm{N}$ ) for which $4 \mathrm{kg}$ block will move with $1 \mathrm{m} {\mathrm{s}}^{-2}$ acceleration in the upward direction is

In the arrangement shown in figure, the string and pulley are light. The car starts moving on the horizontal road with constant velocity $5 \mathrm{m} {\mathrm{s}}^{-1}$ towards left. Speed of $2 \mathrm{kg}$ block in $\mathrm{m} {\mathrm{s}}^{-1}$ when $\theta =60°$is

A block of mass $4 \mathrm{kg}$ is pulled with a rope of mass $500 \mathrm{g}$ on a frictionless surface. If a force $9 \mathrm{N}$ is applied at free end of the rope, force exerted (in $N$ ) by the rope on block would be

In figure shown, if the magnitude of acceleration of $m,$ is $2\sqrt{N} \mathrm{m} {\mathrm{s}}^{-2},$ given that the string is inextensible and the acceleration of $M$ is $2 \mathrm{m} {\mathrm{s}}^{-2}$ towards left, then find $N$

Two blocks $A$ and $B$ are connected through a string as shown in figure. If velocity of block $A$ is $5 \mathrm{m} {\mathrm{s}}^{-1}$ at given instant, then velocity of block $B$ (in $\mathrm{m} {\mathrm{s}}^{-1}$ ) at the same instant is given by (Given ${\theta }_1=60°,$${\theta }_2=37°,$ )

Two blocks of masses $10 \mathrm{kg}$ and $20 \mathrm{kg}$ are connected by a massless spring of spring constant $2000 \mathrm{N} {\mathrm{m}}^{-1}$ as shown in figure. A constant force of $200 \mathrm{N}$ acts on $20 \mathrm{kg}$ block. When the $10 \mathrm{kg}$  block has acceleration of $12 \mathrm{m} {\mathrm{s}}^{-2},$ the acceleration of $20 \mathrm{kg}$ block in $\mathrm{m} {\mathrm{s}}^{-2}$ is equal to

Blocks $A$ and $B$are initially in equilibrium. The springs and strings are ideal. The accelerations of the blocks $A$ and $B,$ just after the spring-$2$is cut, are respectively

The acceleration of block $C$ is

The acceleration of block $A$ at the given instant is

In the given arrangement, if the lift is moving upwards with acceleration $\frac{g}{2},$ then force exerted by the string on ceiling is

In the given arrangement what can be the maximum mass of block $C$ so that blocks $A$ and $B$ move together?

In the given arrangement, friction is absent and strings, pulleys are ideal. The difference of tension $\left(T_1-T_2\right)$ is

In the given arrangement strings and pulley are light and smooth, what should be mass of block $A$ so that it could remain at rest?

A block of mass $m$ is placed over a wedge of mass $4 \mathrm{m}$ and the system is acted upon by a horizontal force $F.$ Friction is absent everywhere. The value of $F$ so that the block does not slide over the wedge, is

Two blocks $A$ and $B$ of masses $5 \mathrm{kg}$ and $10 \mathrm{kg}$ respectively are pushed on rough surface. The contact force between the blocks is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

The magnitude of relative acceleration of $A$ w.r.t. $B$ is (Assuming pulley and string are light and massless)

Two blocks $A$ and $B$ of mass $2m$ and $m$ respectively are connected to a spring of spring constant $k.$ A horizontal force $F=5mg$ is applied to block $A$ as indicated. If acceleration of block $B$ at the instant is $g,$ then acceleration of block $A$ at that instant is

A particle of mass $m$ is moving on a circular path of radius $r$ with uniform speed $v,$ rate of change of linear momentum is