(C) Let $T$ be the tension in the string.The vertical component of the force exerted on the clamp by the string is $T \sin 30^{\circ} = \frac{T}{2}$.G

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(C) Let $T$ be the tension in the string.The vertical component of the force exerted on the clamp by the string is $T \sin 30^{\circ} = \frac{T}{2}$.Given that the clamp can tolerate a maximum vertical force of $40 \ N$,we have:$\frac{T}{2} = 40 \ N \implies T = 80 \ N$.For the monkey of mass $m = 5 \ kg$ climbing up with acceleration $a$,the equation of motion is:$T - mg = ma$Substituting the values:$80 - (5 \times 10) = 5a$$80 - 50 = 5a$$30 = 5a$$a = 6 \ m/s^2$.Thus,the maximum acceleration is $6 \ m/s^2$.

Class 11 Physics Laws of Motion Tension Force and Pulley Block System

Difficult

$A$ light string fixed at one end to a clamp on the ground passes over a fixed pulley and hangs on the other side. It makes an angle of $30^{\circ}$ with the ground. $A$ monkey of mass $5 \ kg$ climbs up the rope. The clamp can tolerate a vertical force of $40 \ N$ only. The maximum acceleration in the upward direction with which the monkey can climb safely is ............ $m/s^2$ (neglect friction and take $g = 10 \ m/s^2$).

A
$2$
B
$4$
C
$6$
D
$8$

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Laws of Motion

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Tension Force and Pulley Block System

In the pulley system shown, the mass of the ball is $1.2$ times greater than the mass of the rod. The length of the rod is $50 \,cm$. The ball is set on the same level as the lower end of the rod and then released. What is the acceleration of the rod with which it comes down (in $\,m/s^2$)? Assume the pulleys and threads are massless and friction is neglected. (Use $g = 10 \,m/s^2$)

MediumTS EAMCET 2020

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Three identical blocks of masses $m = 2\; kg$ are pulled by a force $F = 10.2\; N$ with an acceleration of $0.6\; m/s^2$ on a frictionless surface. What is the tension (in $N$) in the string between the blocks $B$ and $C$?

MediumAIEEE 2002

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Two unequal masses are connected on two sides of a light string passing over a light and smooth pulley as shown in the figure. The system is released from rest. The larger mass $(2\, kg)$ is stopped $1\, s$ after the system is set into motion and then released. Find the time elapsed before the string becomes tight again. (Take $g = 10\, m/s^2$)

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The tension in the string connected between the two blocks is ......... $N$.

Medium

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If the mass of block $B$ is $3\,kg$ and the mass of block $A$ is $7\,kg$,then the acceleration of the system is ........... $m/s^2$. $(g = 10\,m/s^2)$

Medium

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Three identical blocks of masses $m = 2\; kg$ are pulled by a force $F = 10.2\; N$ with an acceleration of $0.6\; m/s^2$ on a frictionless surface. What is the tension (in $N$) in the string between the blocks $B$ and $C$?

The tension in the string connected between the two blocks is ......... $N$.

If the mass of block $B$ is $3\,kg$ and the mass of block $A$ is $7\,kg$,then the acceleration of the system is ........... $m/s^2$. $(g = 10\,m/s^2)$

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