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The length of a uniform ladder of mass ...

The length of a uniform ladder of mass m is 1. It leans against a smooth wall making an angle `theta` with the horizontal. What should be the force of friction between the floor and ladder so that the ladder does not slip ?

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AI Generated Solution

To solve the problem of finding the force of friction between the floor and the ladder so that the ladder does not slip, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Forces Acting on the Ladder**: - The ladder has a weight \( mg \) acting downwards at its center of mass (midpoint). - There is a normal force \( N_1 \) acting upwards at the base of the ladder (on the floor). - There is a normal force \( N_2 \) acting horizontally at the point where the ladder touches the wall. ...
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Knowledge Check

  • A 4 m long ladder weighing 25 kg rests with its upper end against a smooth wall and lower end on rough ground.What should be the minimum coefficient of friction between the ground and the ladder for it to be inclined at 60^(@) with the horizontal without slipping? (Take g =10 m//s^(2))

    A
    a. 0.19
    B
    b. 0.29
    C
    c. 0.39
    D
    d. 0.49

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