A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of $30^o$ 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 upward direction with which the monkey can climb safely is ............ $m/s^2$ (neglect friction and take $g = 10\, m/s^2$)
A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of $30^o$ 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 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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A trolley is accelerating down an incline of angle $\theta$ with acceleration $g \sin \theta$. Which of the following is correct. $(\alpha$ is the constant angle made by the string with vertical)
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A light string passing over a smooth light pulley connects two block of masses $m_1$ and $m_2$ (vertically). If the acceleration of the system is $(\frac {g}{8})$, then the ratio of masses is
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A body of mass $8\,kg$ is hanging another body of mass $12\,kg$. The combination is being pulled by a string $T _2$ will be respectively: (use $g =9.8\,m / s ^2$ )
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