(A) Let the acceleration of the system be $a$ and the tension in the string be $T$.For the block with mass $(M+m)$ (moving downwards):$(M+m)g - T = (M

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(A) Let the acceleration of the system be $a$ and the tension in the string be $T$.For the block with mass $(M+m)$ (moving downwards):$(M+m)g - T = (M+m)a$ --- $(1)$For the block with mass $M$ (moving upwards):$T - Mg = Ma$ --- $(2)$Adding equations $(1)$ and $(2)$:$(M+m)g - Mg = (M+m+M)a$$mg = (2M+m)a$$a = \frac{mg}{2M+m}$

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

Medium

Two identical blocks each of mass $M$ are attached to the ends of a massless inextensible string which passes over a pulley with a fixed axis as shown below. $A$ small mass $m$ is now placed on block $B$ (the right block). The acceleration with which the two blocks move together is ($g =$ gravitational acceleration).

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A
$\frac{mg}{2M+m}$
B
$\frac{Mg}{M+2m}$
C
$\frac{Mg}{2M+m}$
D
$\frac{mg}{M+2m}$

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Class 11 Questions

Class 11

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Chapter

Newton's Laws of Motion and Friction

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Tension Force and Pulley Block System

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Three blocks $M_1, M_2, M_3$ having masses $4 \ kg, 6 \ kg$ and $10 \ kg$ respectively are hanging from a smooth pulley using ropes $1, 2$ and $3$ as shown in the figure. The tension in the rope $1, T_1$,when they are moving upward with an acceleration of $2 \ m/s^2$ is ............... $N$ (if $g = 10 \ m/s^2$).

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$A$ block of mass $25 \; kg$ is raised by a $50 \; kg$ man in two different ways as shown in the figure. What is the action on the floor by the man in the two cases? If the floor yields to a normal force of $700 \; N$,which mode should the man adopt to lift the block without the floor yielding?

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Objects $A$ and $B$,each of mass $m$,are connected by a light inextensible cord. They are constrained to move on a frictionless ring in a vertical plane as shown in the figure. The objects are released from rest at the positions shown. The tension in the cord just after release will be

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If $m_1 = 4m_2$ and the acceleration of $m_1$ is $a$,find the tension $T$ in the string.

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In the arrangement shown in the figure, the work done by the string on the block of mass $0.36 \,kg$ during the first second after the blocks are released from a state of rest is: (Ignore friction and the mass of the string.)
(Acceleration due to gravity, $g = 10 \,m/s^2$) (in $\,J$)

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$A$ block of mass $25 \; kg$ is raised by a $50 \; kg$ man in two different ways as shown in the figure. What is the action on the floor by the man in the two cases? If the floor yields to a normal force of $700 \; N$,which mode should the man adopt to lift the block without the floor yielding?

Objects $A$ and $B$,each of mass $m$,are connected by a light inextensible cord. They are constrained to move on a frictionless ring in a vertical plane as shown in the figure. The objects are released from rest at the positions shown. The tension in the cord just after release will be

If $m_1 = 4m_2$ and the acceleration of $m_1$ is $a$,find the tension $T$ in the string.

In the arrangement shown in the figure, the work done by the string on the block of mass $0.36 \,kg$ during the first second after the blocks are released from a state of rest is: (Ignore friction and the mass of the string.)(Acceleration due to gravity, $g = 10 \,m/s^2$) (in $\,J$)

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In the arrangement shown in the figure, the work done by the string on the block of mass $0.36 \,kg$ during the first second after the blocks are released from a state of rest is: (Ignore friction and the mass of the string.)
(Acceleration due to gravity, $g = 10 \,m/s^2$) (in $\,J$)