(C) Let $T$ be the tension in the string.The maximum vertical force on the clamp is given by $T \sin 30^{\circ} = 40 \,N$.Substituting the value of $\

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(C) Let $T$ be the tension in the string.The maximum vertical force on the clamp is given by $T \sin 30^{\circ} = 40 \,N$.Substituting the value of $\sin 30^{\circ} = 1/2$:$T \cdot (1/2) = 40$$T = 80 \,N$Now,consider the free-body diagram of the monkey of mass $m = 5 \,kg$ climbing with acceleration $a$.The forces acting on the monkey are tension $T$ upwards and weight $mg$ downwards.According to Newton's second law: $T - mg = ma$$a = (T - mg) / m$Substituting the values $T = 80 \,N$,$m = 5 \,kg$,and $g = 10 \,ms^{-2}$:$a = (80 - 5 \times 10) / 5$$a = (80 - 50) / 5$$a = 30 / 5 = 6 \,ms^{-2}$Thus,the maximum acceleration is $6 \,ms^{-2}$.

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

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One end of a light string is fixed to a clamp on the ground and the other end passes over a fixed frictionless pulley as shown in the figure. It makes an angle of $30^{\circ}$ with the ground. The clamp can tolerate a vertical force of $40 \,N$. If a monkey of mass $5 \,kg$ were to climb up the rope,then the maximum acceleration in the upward direction with which it can climb safely is $\left(g=10 \,ms^{-2}\right)$ (in $\,ms^{-2}$)

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Tension Force and Pulley Block System

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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 $,N$)

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$A$ block of mass $10 \ kg$ is placed on a horizontal frictionless surface and is attached to a cord which passes over two light frictionless pulleys as shown in the figure. The hanging block tied to the other end of the cord is initially at rest $2 \ m$ above the horizontal floor. If the hanging block strikes the floor $2 \ s$ after the system is released,then the weight of the hanging block is ....... $(g=10 \ ms^{-2})$ (in $N$)

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One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$,the net force on the particle (directed towards the centre) is ($T$ is the tension in the string).

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For the given system,the angle $\theta$ will be ......... $^o$.

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$A$ monkey of mass $20\,kg$ is holding a vertical rope. The rope can break when a mass of $25\,kg$ is suspended from it. What is the maximum acceleration with which the monkey can climb up along the rope (in $,m/s^2$)?

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One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$,the net force on the particle (directed towards the centre) is ($T$ is the tension in the string).

For the given system,the angle $\theta$ will be ......... $^o$.

$A$ monkey of mass $20\,kg$ is holding a vertical rope. The rope can break when a mass of $25\,kg$ is suspended from it. What is the maximum acceleration with which the monkey can climb up along the rope (in $,m/s^2$)?

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