(C) The limiting friction force ${F_l}$ required to start the motion of the block is given by ${F_l} = {\mu _s}R$,where $R$ is the normal reaction for

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(C) The limiting friction force ${F_l}$ required to start the motion of the block is given by ${F_l} = {\mu _s}R$,where $R$ is the normal reaction force.Since the block is on a horizontal surface,$R = mg = 10 \, N$.Therefore,${F_l} = 0.4 \times 10 \, N = 4 \, N$.This means a minimum force of $4 \, N$ is required to overcome static friction and initiate motion.The applied horizontal force is $3 \, N$.Since the applied force $(3 \, N)$ is less than the limiting friction $(4 \, N)$,the block will not move.Thus,the correct option is $(C)$.

Class 11 Physics Newton's Laws of Motion and Friction Static and Limiting Friction and Minimum Force Required to Move

Easy

In the figure shown,a block of weight $10 \, N$ is resting on a horizontal surface. The coefficient of static friction between the block and the surface is ${\mu _s} = 0.4$. $A$ force of $3.5 \, N$ will keep the block in uniform motion,once it has been set in motion. If a horizontal force of $3 \, N$ is applied to the block,then the block will:

A
Move over the surface with constant velocity
B
Move having accelerated motion over the surface
C
Not move
D
First it will move with a constant velocity for some time and then will have accelerated motion

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Class 11

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Chapter

Newton's Laws of Motion and Friction

Subtopic

Static and Limiting Friction and Minimum Force Required to Move

$A$ block of weight $W$ rests on a horizontal floor with coefficient of static friction $\mu$. It is desired to move the block by applying the minimum amount of force. The angle $\theta$ from the horizontal at which the force should be applied and the magnitude of the force $F$ are respectively:

DifficultAIEEE 2012

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$A$ horizontal force of $10 \, N$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $0.2$. The weight of the block is ........ $N$.

EasyAIEEE 2003

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$A$ block of mass $50 \, kg$ can slide on a rough horizontal surface. The coefficient of friction between the block and the surface is $0.6$. The least force of pull acting at an angle of $30^\circ$ to the upward drawn vertical which causes the block to just slide is ........ $N$.

Medium

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As shown in the figure, a block of mass $10 \ kg$ lying on a horizontal surface is pulled by a force $F$ acting at an angle $30^{\circ}$ with the horizontal. For $\mu_{s} = 0.25$, the block will just start to move for the value of $F$: [Given $g = 10 \ ms^{-2}$] (in $N$)

DifficultWBJEE 2024

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What is friction? What is impending motion?

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$A$ block of weight $W$ rests on a horizontal floor with coefficient of static friction $\mu$. It is desired to move the block by applying the minimum amount of force. The angle $\theta$ from the horizontal at which the force should be applied and the magnitude of the force $F$ are respectively:

$A$ horizontal force of $10 \, N$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $0.2$. The weight of the block is ........ $N$.

$A$ block of mass $50 \, kg$ can slide on a rough horizontal surface. The coefficient of friction between the block and the surface is $0.6$. The least force of pull acting at an angle of $30^\circ$ to the upward drawn vertical which causes the block to just slide is ........ $N$.

As shown in the figure, a block of mass $10 \ kg$ lying on a horizontal surface is pulled by a force $F$ acting at an angle $30^{\circ}$ with the horizontal. For $\mu_{s} = 0.25$, the block will just start to move for the value of $F$: [Given $g = 10 \ ms^{-2}$] (in $N$)

What is friction? What is impending motion?

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