(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 Questions

Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

Subtopic

Static and Limiting Friction and Minimum Force Required to Move

What can be inferred from the relation $f_S \leqslant \mu_S N$?

Easy

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$A$ block placed on a rough horizontal surface is pulled by a horizontal force $F$. Let $f$ be the force applied by the rough surface on the block. Plot a graph of $f$ versus $F$.

Medium

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$A$ block of mass $m$ is pressed against a vertical surface by a spring of unstretched length $l$. The spring is compressed by a distance $d$ as shown in the figure. If the coefficient of friction between the block and the surface is $\mu$,choose the correct statement.

Difficult

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The coefficient of static friction,$\mu_s$,between block $A$ of mass $2\, kg$ and the table as shown in the figure is $0.2$. Find the maximum mass value of block $B$ in $kg$ so that the two blocks do not move. The string and the pulley are assumed to be smooth and massless. $(g = 10\, m/s^2)$

MediumAIPMT 2004

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$A$ force $\vec{F}=\hat{i}+4 \hat{j} \, N$ acts on the block of mass $1 \, kg$ shown in the figure. The coefficient of friction between the block and the surface is $\mu = 0.3$. The force of friction acting on the block is (Take $g = 10 \, m/s^2$)

Medium

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What can be inferred from the relation $f_S \leqslant \mu_S N$?

$A$ block placed on a rough horizontal surface is pulled by a horizontal force $F$. Let $f$ be the force applied by the rough surface on the block. Plot a graph of $f$ versus $F$.

$A$ block of mass $m$ is pressed against a vertical surface by a spring of unstretched length $l$. The spring is compressed by a distance $d$ as shown in the figure. If the coefficient of friction between the block and the surface is $\mu$,choose the correct statement.

The coefficient of static friction,$\mu_s$,between block $A$ of mass $2\, kg$ and the table as shown in the figure is $0.2$. Find the maximum mass value of block $B$ in $kg$ so that the two blocks do not move. The string and the pulley are assumed to be smooth and massless. $(g = 10\, m/s^2)$

$A$ force $\vec{F}=\hat{i}+4 \hat{j} \, N$ acts on the block of mass $1 \, kg$ shown in the figure. The coefficient of friction between the block and the surface is $\mu = 0.3$. The force of friction acting on the block is (Take $g = 10 \, m/s^2$)

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