(C) Case $(I)$: The system consists of two masses $m$ and $2m$ connected by a string over a pulley. The equation of motion for mass $m$ is $T - mg = m

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(C) Case $(I)$: The system consists of two masses $m$ and $2m$ connected by a string over a pulley. The equation of motion for mass $m$ is $T - mg = ma$, and for mass $2m$ is $2mg - T = 2ma$. Adding these equations gives $mg = 3ma$, which results in $a_I = g/3$.Case $(II)$: The mass $m$ is pulled by a constant force $F = 2mg$. The equation of motion for mass $m$ is $F - mg = ma$. Substituting $F = 2mg$, we get $2mg - mg = ma$, which simplifies to $mg = ma$, resulting in $a_{II} = g$.Comparing the accelerations, $a_I = g/3$ and $a_{II} = g$. Therefore, the acceleration in case $I$ is less than that in case $II$.

Class 11 Physics Newton's Laws of Motion and Friction Tension Force and Pulley Block System

Medium

The pulley arrangements shown in the figure are identical, and the mass of the rope is negligible. In case $I$, the mass $m$ is lifted by attaching a mass $2m$ to the other end of the rope. In case $II$, the mass $m$ is lifted by pulling the other end of the rope with a constant downward force $F = 2mg$, where $g$ is the acceleration due to gravity. The acceleration of mass $m$ in case $I$ is

A
$Zero$
B
more than that in case $II$
C
less than that in case $II$
D
equal to that in case $II$

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Newton's Laws of Motion and Friction

Subtopic

Tension Force and Pulley Block System

$250 \; N$ force is required to raise a $75 \; kg$ mass using a pulley system. If the rope is pulled by $12 \; m$ and the load is lifted by $3 \; m$,the efficiency of the pulley system will be ......$\%$

MediumAIPMT 2001

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Three masses of $1\, kg$,$6\, kg$,and $3\, kg$ are connected to each other with threads and are placed on a table as shown in the figure. The acceleration with which the system is moving is $....... \, ms^{-2}$. (Take $g = 10\, ms^{-2}$)

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If the system of blocks shown in the figure is released from rest, the ratio of the tensions $T_1$ and $T_2$ is (Neglect the mass of the string shown in the figure).

MediumTS EAMCET 2025

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$A$ man uses two pulleys to raise himself with an acceleration of $2\,m/s^2$,as shown in the figure. The man stands on a light weighing machine fitted on a horizontal platform. Determine the reading of the weighing machine. (Mass of man $= 75\,kg$,mass of platform $= 25\,kg$,$g = 10\,m/s^2$) (in $,N$)

Medium

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$A$ monkey of mass $40 \,kg$ climbs up a rope,of breaking load $600 \,N$ hanging from a ceiling. If it climbs up the rope with the maximum possible acceleration,then the time taken by the monkey to climb up is .........$s$ [Length of rope is $10 \,m$]

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$250 \; N$ force is required to raise a $75 \; kg$ mass using a pulley system. If the rope is pulled by $12 \; m$ and the load is lifted by $3 \; m$,the efficiency of the pulley system will be ......$\%$

Three masses of $1\, kg$,$6\, kg$,and $3\, kg$ are connected to each other with threads and are placed on a table as shown in the figure. The acceleration with which the system is moving is $....... \, ms^{-2}$. (Take $g = 10\, ms^{-2}$)

If the system of blocks shown in the figure is released from rest, the ratio of the tensions $T_1$ and $T_2$ is (Neglect the mass of the string shown in the figure).

$A$ monkey of mass $40 \,kg$ climbs up a rope,of breaking load $600 \,N$ hanging from a ceiling. If it climbs up the rope with the maximum possible acceleration,then the time taken by the monkey to climb up is .........$s$ [Length of rope is $10 \,m$]

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