Home
Class 11
PHYSICS
As shown in Fig.7.40, the two sides of a...

As shown in Fig.7.40, the two sides of a step ladder BA and CA are 1.6 m long and hinged at A. A rope DE, 0.5 m is tied half way up. A weight 40 kg is suspended from a point F, 1.2 m from B along the ladder BA. Assuming the floor to be frictionless and neglecting the weight of the ladder, find the tension in the rope and forces exerted by the floor on the ladder. (Take `g = 9.8 m//s^(2)`)

Text Solution

Verified by Experts

Consider the equilibrium of each side of the ladder separately.

Tension = `98 N, N_(B) = 245 N, N_(C) = 147 N`.
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT GUJARATI|Exercise EXERCISES (TRUE OR FALSE)|5 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT GUJARATI|Exercise EXERCISES (TRUE OR FALSE)|5 Videos

  • PHYSICAL WORLD

    NCERT GUJARATI|Exercise EXERCISES|8 Videos

  • THERMAL PROPERTIME OF MATTER

    NCERT GUJARATI|Exercise EXERCISES|31 Videos

Similar Questions

Explore conceptually related problems

A 3m long ladder weighing 20 kg leans on a frictionless wall. Its feet rest on the floor 1 m from the wall as shown in Fig.7.27. Find the reaction forces of the wall and the floor.

A mass of 6 kg is suspended by a rope of length 2m from a celling. A force of 50N is applied in horizontal direction at the mid point of the rope. What is the angle of the rope with the verticle in equilibrium:-

A uniform rod of mass M and length L lies flat on a frictionless horizantal surface. Two forces F and 2F are applied along the length of the rod as shown. The tension in the rod at point P is

A ladder 5m long is leaning against a wall. The foot of the ladder is pulled out along the ground away from from the wall at a rate of 2 m//s . How fast is the height of ladder on the decreasing at the instant when the foot of the ladder is 4 m away from the wall?

A ladder makes an angle of 60^(@) with the ground, when placed leaning on a wall. If the foot of the ladder is 8m away from the wall, then the length of the ladder is ………m

A ladder 25m long reaches a window of building 20m above the ground. Determine the distance from the foot of the ladder to the building.

A mass of 6 kg is suspended by a rope of length 2 m from the ceiling. A force of 50 N in the horizontal direction is applied at the midpoint P of the rope, as shown. What is the angle the rope makes with the vertical in equilibrium ? (Take g = 10 ms-2). Neglect the mass of the rope.

Two weights w_(1) and w_(2) are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g , the tension in the string will be

A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

A uniform rope of length L is pulled by a constant force F. What is the tension in the rope at a distance l from the end where it is applied?

NCERT GUJARATI-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISES
  1. (a) A child stands at the centre of a turntable with his two arms outs...

    Text Solution

    |

  2. A rope of negligible mass is wound round a hollow cylinder of mass 3 k...

    Text Solution

    |

  3. To maintain a rotor at a uniform angular speed of 200 rad s-1, an engi...

    Text Solution

    |

  4. From a uniform disk of radius R, a circular hole of radius R/2 is cut ...

    Text Solution

    |

  5. A metre stick is balanced on a knife edge at its centre. When two coin...

    Text Solution

    |

  6. A solid sphere rolls down two different inclined planes of the same he...

    Text Solution

    |

  7. A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor ...

    Text Solution

    |

  8. The oxygen molecule has a mass of 5.30 × 10^(-26) kg and a moment of i...

    Text Solution

    |

  9. A solid cylinder rolls up an inclined plane of angle of inclination 30...

    Text Solution

    |

  10. As shown in Fig.7.40, the two sides of a step ladder BA and CA are 1.6...

    Text Solution

    |

  11. A man stands on a rotating platform, with his arms stretched horizonta...

    Text Solution

    |

  12. A bullet of mass 10 g and speed 500 m/s is fired into a door and gets ...

    Text Solution

    |

  13. Two discs of moments of inertia I(1) and I(2) about their respective a...

    Text Solution

    |

  14. (a) Prove the theorem of perpendicular axes. (b) Prove the theorem o...

    Text Solution

    |

  15. Prove the result that the velocity v of translation of a rolling body ...

    Text Solution

    |

  16. A disc rotating about its axis with angular speed ω(o) is placed light...

    Text Solution

    |

  17. Explain why friction is necessary to make the disc in Fig. 7.41 roll i...

    Text Solution

    |

  18. A solid disc and a ring, both of radius 10 cm are placed on a horizont...

    Text Solution

    |

  19. A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a pl...

    Text Solution

    |

  20. Separation of Motion of a system of particles into motion of the centr...

    Text Solution

    |