Home
Class 12
PHYSICS
A light rope fixed at one end of a woode...

A light rope fixed at one end of a wooden clamp on the ground passes over a tree branch and hangs on the other side. It makes an angle of `30^0` with the ground. A man weighing (60 kg) wants to climb up the rope. The wooden clamp can come out of the ground if an upward force greater than 360 N is applied it. Find the maximum acceleration in the upward direction with which the man can climb safely. Neglect friction at the tree branch. Take `g=10 m/s^2`

Text Solution

Verified by Experts

The correct Answer is:
`2m//s^(2)`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    AAKASH SERIES|Exercise NUMERICAL EXERCISE ( LEVEL-2)|13 Videos

  • LAWS OF MOTION

    AAKASH SERIES|Exercise QUESTIONS FOR DESCRIPTIVE ANSWER|5 Videos

  • LAWS OF MOTION

    AAKASH SERIES|Exercise VERY SHORT ANSWER TYPE QUESTIONS|13 Videos

  • GEOMETRICAL OPTICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|10 Videos

  • LOGIC GATES

    AAKASH SERIES|Exercise Exercise (Very Short Answer)|10 Videos

Similar Questions

Explore conceptually related problems

A monkey of 25 kg is holding a vertical rope. The rope does not break if a body of mass less than 30 kg is suspended with the rope. What will be the maximum acceleration with which the monkey can climb up along the rope ? (Take g=10 ms^(-2) )

A hot air balloon was tied to a point on the ground using a rope 60m long. If the rope makes an angle of 60^(@) with the ground, how high, in meters, is the balloon above the ground level?

The upper part of a tree broken over by the wind makes an angle of 30^0 with the ground and the distance from the root to the point where the top of the tree touches the ground is 15m. Using sine rule, fine the height of the tree.

A tree 12m high, a broken by the wind in such a way that its top touches the ground and makes an angle 60^0 with the ground. At what height from the bottom the tree is broken by the wind?

A kite is attached to a string. Find the length of the string , when the height of the kite is 60 m and the string makes an angle 30^(@) with the ground .

The upper part of a tree, broken over by the wind. makes an angle of 45^(@) with the ground , and the distance from the root to the point where the top of the tree touches the ground. is 1.5 m. What was the height of the tree before it was broken ?

A vertically straight tree, 15m high, is broken by the wind in such a way that its top just touches the ground and makes an angle of 60^@ with the ground. At what height from the ground did the tree break?

A body of mass 60 kg is holding a vertical rope . The rope can break when a mass of 75 kg is suspended from it. The maximum acceleration with which the boy can climb the rope without breaking it is : ( g = 10 m//s^(2))

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30^o with the ground. The distance between the foot of the tree to the point where the top touches the ground is 8m. Find the height of the tree.

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30o with the ground. The distance between the foot of the tree to the point where the top touches the ground is 10m. Find the height of the tree.

AAKASH SERIES-LAWS OF MOTION-NUMERICAL EXERCISE ( LEVEL-1)
  1. Due to the application of a force on a body of mass 100 kg that is ini...

    Text Solution

    |

  2. A force is applied for a duration of 10sec on a body of mass 5kg that ...

    Text Solution

    |

  3. A vehicle of mass 120kg is moving with a velocity of 90kmph What force...

    Text Solution

    |

  4. A ball of mass 0.2 kg moves with a velocity of 20 m s^(-1) and stops i...

    Text Solution

    |

  5. A force acts for 0.1 s on a body of mass 2 kg initially at rest. The f...

    Text Solution

    |

  6. A ball of mass 50 g is dropped from a height of 20 m. A boy on the gro...

    Text Solution

    |

  7. An elevator weighing 6000 kg is pulled upwards by a cable with an acce...

    Text Solution

    |

  8. A 2kg block lying on smooth table which is connected by a body of mass...

    Text Solution

    |

  9. A man wants to draw a bucket full of water in two different ways. As s...

    Text Solution

    |

  10. The pulley arrangements in the figure (A) and (B) are identical. The m...

    Text Solution

    |

  11. Three equal weights of mass m each are hanging on a string passing ove...

    Text Solution

    |

  12. System is shown in the figure. Velocity of sphere A is 9 (m)/(s). Find...

    Text Solution

    |

  13. A light rope fixed at one end of a wooden clamp on the ground passes o...

    Text Solution

    |

  14. Figure represents a painter in a crate which hangs alongside a buildin...

    Text Solution

    |

  15. Two block of masses m and 2m are kept on a smooth inclined plane and t...

    Text Solution

    |

  16. A lift is going up. The total mass of the lift and the passengers is 1...

    Text Solution

    |