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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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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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