(A) Let $m_1 = 12\,kg$ and $m_2 = 8\,kg$. The acceleration $a = 2.2\,m/s^2$.For the lower mass $(m_2 = 8\,kg)$:The forces acting are tension $T_2$ upw

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(A) Let $m_1 = 12\,kg$ and $m_2 = 8\,kg$. The acceleration $a = 2.2\,m/s^2$.For the lower mass $(m_2 = 8\,kg)$:The forces acting are tension $T_2$ upwards and weight $m_2g$ downwards.$T_2 - m_2g = m_2a$$T_2 - 8(9.8) = 8(2.2)$$T_2 - 78.4 = 17.6$$T_2 = 96\,N$For the system of both masses $(m_1 + m_2 = 20\,kg)$:The forces acting are tension $T_1$ upwards and total weight $(m_1+m_2)g$ downwards.$T_1 - (m_1+m_2)g = (m_1+m_2)a$$T_1 - 20(9.8) = 20(2.2)$$T_1 - 196 = 44$$T_1 = 240\,N$Therefore,$T_1 = 240\,N$ and $T_2 = 96\,N$.

Class 11 Physics Laws of Motion Motion of Body (or Connected Bodies in horizontal or vertical) (by String or Contact)

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$A$ body of mass $8\,kg$ is hanging from another body of mass $12\,kg$. The combination is being pulled upwards by a string with an acceleration of $2.2\,m/s^2$. The tensions $T_1$ (in the top string) and $T_2$ (in the string between the two masses) will be respectively: (use $g = 9.8\,m/s^2$)

A
$240\,N, 96\,N$
B
$200\,N, 80\,N$
C
$220\,N, 90\,N$
D
$260\,N, 96\,N$

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Motion of Body (or Connected Bodies in horizontal or vertical) (by String or Contact)

$A$ block of mass $M$ is kept on a platform which starts accelerating upwards from rest with a constant acceleration $a$. During the time interval $T$,the work done by the contact force on mass $M$ is

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Two masses of $4\, kg$ and $5 \,kg$ are connected by a string passing through a frictionless pulley and are kept on a frictionless table as shown in the figure. The acceleration of the $5\, kg$ mass is ........... $m/s^2$.

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Three blocks of masses $4 \ kg$, $2 \ kg$, and $1 \ kg$ respectively are in contact on a frictionless table as shown in the figure. If a force of $14 \ N$ is applied on the $4 \ kg$ block, the contact force between the $4 \ kg$ and the $2 \ kg$ block will be: (in $N$)

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Two blocks of masses $5\, kg$ and $4\, kg$ are in contact with each other on a frictionless table. When a horizontal force of $9\, N$ is applied to the block of mass $5\, kg$,then the value of the force of contact between the two blocks is ........ $N$.

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Three blocks $A$,$B$,and $C$ of masses $5 \text{ kg}$,$3 \text{ kg}$,and $2 \text{ kg}$ respectively are pulled on a horizontal smooth surface by a force of $80 \text{ N}$ as shown in the figure. The tensions $T_1$ and $T_2$ in the strings are respectively:

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$A$ body of mass $8\,kg$ is hanging from another body of mass $12\,kg$. The combination is being pulled upwards by a string with an acceleration of $2.2\,m/s^2$. The tensions $T_1$ (in the top string) and $T_2$ (in the string between the two masses) will be respectively: (use $g = 9.8\,m/s^2$)

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$A$ block of mass $M$ is kept on a platform which starts accelerating upwards from rest with a constant acceleration $a$. During the time interval $T$,the work done by the contact force on mass $M$ is

Two masses of $4\, kg$ and $5 \,kg$ are connected by a string passing through a frictionless pulley and are kept on a frictionless table as shown in the figure. The acceleration of the $5\, kg$ mass is ........... $m/s^2$.

Three blocks of masses $4 \ kg$, $2 \ kg$, and $1 \ kg$ respectively are in contact on a frictionless table as shown in the figure. If a force of $14 \ N$ is applied on the $4 \ kg$ block, the contact force between the $4 \ kg$ and the $2 \ kg$ block will be: (in $N$)

Two blocks of masses $5\, kg$ and $4\, kg$ are in contact with each other on a frictionless table. When a horizontal force of $9\, N$ is applied to the block of mass $5\, kg$,then the value of the force of contact between the two blocks is ........ $N$.

Three blocks $A$,$B$,and $C$ of masses $5 \text{ kg}$,$3 \text{ kg}$,and $2 \text{ kg}$ respectively are pulled on a horizontal smooth surface by a force of $80 \text{ N}$ as shown in the figure. The tensions $T_1$ and $T_2$ in the strings are respectively:

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