Home
Class 11
PHYSICS
Suppose the friction coefficient between...

Suppose the friction coefficient between the ground and the ladder of the previous problem is 0.540. Find the maximum weight of a mechanic who could go up and do the work from the same position of the ladder.

Text Solution

Verified by Experts

The correct Answer is:
D

`mu=0.54, R_2=16g+mg, R_1=muR_2`
`rarr R_1xx10 cos 37^@=16gxx5xsin 37^@+mgxx8sin3^@`
`rarr 8R_1=48g+24/5mg`
`rarr R_2=(48g+24/5mg)/(8xx0.54)`

`rarr16g+mg=(240g+24mg)/(5x8x0.54)`
`rarr 16+m=(240+24m)/(40xx0.54)`
`rarr m=44kg`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    HC VERMA|Exercise Objective 2|15 Videos
  • REST AND MOTION : KINEMATICS

    HC VERMA|Exercise Exercises|51 Videos
  • SIMPLE HARMONIC MOTION

    HC VERMA|Exercise Exercises|58 Videos

Similar Questions

Explore conceptually related problems

A uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0m to from the wall. The ladder weighs 160 N . The coefficient of static friction between the foot of the ladder and the ground is 0.40 . A man weighing 740 N climbs slowly up the ladder. How far along the ladder can the man climb before the ladder starts to slip?

A uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0m to from the wall. The ladder weighs 160 N . The coefficient of static friction between the foot of the ladder and the ground is 0.40 . A man weighing 740 N climbs slowly up the ladder. What is the maximum frictional force that the ground can exert on the ladder at its lower end?

A uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0m to from the wall. The ladder weighs 160 N . The coefficient of static friction between the foot of the ladder and the ground is 0.40 . A man weighing 740 N climbs slowly up the ladder. What is the actual frictional force when the man has climbed 1.0 m along the ladder?

In the figure shown, a solid sphere of mass 'm' and radius r is released from a height 6r to slide down a smooth surface. A plank of same mass 'm' touches the horizontal portion of the surface at the ground. The co-efficient of friction between the plank and the sphere is mu and that between the plank and the ground is mu//4 . Find the work done by the friction force between the plank and the ground till the sphere starts pure rolling on the plank. Neglect the height of the plank.

A 6.5 m long ladder rests against as vertical wall reaching a height of 6.0 m. A 60 kg man stands hlf way up the ladder. A. Find the torque of the force exerted by the man on the ladder bout the upper end of the ladder. b.Assuming the weight of the ladder of be negligible as compared to the man and assuming the wall to be smooth find the force exerted by the ground on the ladder.

A car is taking a turn of radius 400 m on a horizontal circle . Coefficient of friction between the ground and tyres of car is 0.2 . Find the maximum speed with a safe turn can be taken

A block of mass 10 kg slides down on an incline 5 m long and 3 m high. A man pushes up on the ice block parallel to the incline so that it slides down at constant speed. The coefficient of friction between the ice and the incline is 0.1. Find : (a) the work done by the man on the block. (b) the work done by gravity on the block. (c) the work done by the surface on the block. (d) the work done by the resultant forces on the block. (e) the change in K.E. of the block.

The friction coefficient between the two blocks shown in figure is mu and the horizontal plane is smoth. (a) if the systeam is slightly displacement and released, find the time period. (b) Find the magnitude of the fricational force between the blocks when the displacement from the fmean position is x . (c) What can be the maximum amplitude if the upper block does not slip relative to the lower block ?

A block mass m = 2 kg is moving with velocity v_(0) towards a massless unstretched spring of the force constant k = 10 N//m . Coefficient of friction between the block and the ground is mu = 0.2 . Find the maximum value of v_(0) so that after pressing the spring the block does not return back but stops there permanently.

HC VERMA-ROTATIONAL MECHANICS-Exercises
  1. A uniform metre stick of mass 200 g is suspended from the ceiling thro...

    Text Solution

    |

  2. A uniform ladder of length 10.0 m and mas 16.0 kg is resting against a...

    Text Solution

    |

  3. Suppose the friction coefficient between the ground and the ladder of ...

    Text Solution

    |

  4. A 6.5 m long ladder rests against as vertical wall reaching a height o...

    Text Solution

    |

  5. the door of an almirah is 6 ft high, 1.5 ft wide and weights 8 kg. The...

    Text Solution

    |

  6. A uniform rod of length L rests against a smooth roller as shown in fi...

    Text Solution

    |

  7. A uniform rod of mass 300 g and length 50 cm rotates at a uniform asng...

    Text Solution

    |

  8. A uniform square plate of mass 2.0 kg and edge 10 cm rotates about one...

    Text Solution

    |

  9. Calculate the ratio of the angular momentum of the earth about its axi...

    Text Solution

    |

  10. Two particles of masses m1 and m2 are joined y a light rigid rod of le...

    Text Solution

    |

  11. A dumb bell consists of two identicasl small balls offmss 1/2 kg each ...

    Text Solution

    |

  12. A wheel of moment of inertia 0.500 kg-m^2 and radius 20.0 cm is rotati...

    Text Solution

    |

  13. A diver having a moment of iertia of 6.0 kg-m^2 about an axis through ...

    Text Solution

    |

  14. A boy is seated in as revolving chair revolving at an angulr speed of ...

    Text Solution

    |

  15. A boy is standing on a platform which is free to rotate about its axis...

    Text Solution

    |

  16. A wheel of moment of inertia 0.10 kg-m^2 is rotating about a shaft at ...

    Text Solution

    |

  17. A kid of mass M stands at the edge of a platform of radius R which can...

    Text Solution

    |

  18. Suppose the platform of the previous problem is brought to rest with t...

    Text Solution

    |

  19. Suppose the platform with the kid in the previous problemis rotting in...

    Text Solution

    |

  20. A uniform rod of mass m and length l is struck at an end by a force F ...

    Text Solution

    |