A rope of length L and mass M is being pulled on a rough horizontal floor by a constant horizontal f

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4-2.Friction

hard

A rope of length $L$ and mass $M$ is being pulled on a rough horizontal floor by a constant horizontal force $F$ = $Mg$ . The force is acting at one end of the rope in the same direction as the length of the rope. The coefficient of kinetic friction between rope and floor is $1/2$ . Then, the tension at the midpoint of the rope is

A$\frac{{Mg}}{4}$

B$\frac{{2Mg}}{5}$

C$\frac{{Mg}}{8}$

D$\frac{{Mg}}{2}$

Solution

$a=\frac{F-\mu N}{M}=\frac{M g-0.5 M g}{M}=g / 2$
$\mathrm{T}-\mu \mathrm{Mg} / 2=\mathrm{Ma} / 2$
$\mathrm{T}-\mathrm{mg} / 4=\mathrm{Mg} / 4 \Rightarrow \mathrm{T}=\mathrm{Mg} / 2$

Standard 11

Physics

A body of weight $64\, N$ is pushed with just enough force to start it moving across a horizontal floor and the same force continues to act afterwards. If the coefficients of static and dynamic friction are $0.6$ and $0.4$ respectively, the acceleration of the body will be (Acceleration due to gravity $= g$)

medium

A hockey player is moving northward and suddenly turns westward with the same speed to avoid an oopponent. The force that acts on the player is

easy

A horizontal force of $129.4 \,N $ is applied on a $10\, kg$ block which rests on a horizontal surface. If the coefficient of friction is $0.3$, the acceleration should be ……. $m/s^2$

medium

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

Which one of the following statements is correct

easy

Solution

Similar Questions

A hockey player is moving northward and suddenly turns westward with the same speed to avoid an oopponent. The force that acts on the player is

A horizontal force of $129.4 \,N $ is applied on a $10\, kg$ block which rests on a horizontal surface. If the coefficient of friction is $0.3$, the acceleration should be ……. $m/s^2$

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 $F$.

Which one of the following statements is correct

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