Question

A unifrom ladder having length L and wighting 50N rests against a smoth vertical wall If The Coefficient of Friction between the ladder and the forund is 0.40N find the minimum angle such that the ladder may not slip.

Answer 1

The minimum angle is such that the ladder may not slip will be 21.80°.

What is the cofficient of static friction?

The ratio of the greatest static friction force (F) between the surfaces in contact before movement begins to the normal (N) force is the coefficient of static friction.

The given data in the problem is;

The coefficient of friction between the ladder,(μ)= 0.40N

The minimum angle is such that the ladder may not slip is, Θ

The frictional force must be smaller than the maximal static friction force to prevent slippage. To denote the ratio of the opposite and adjacent sides of the ramp, we'll use constants like.

The minimum angle such that the ladder may not slip is;

tanΘ=μ

Θ=tan⁻¹(μ)

Θ=tan⁻¹(0.40)

Θ=  21.80°

Hence the minimum angle is such that the ladder may not slip will be 21.80°.

To learn more about the cofficient of static friction refer to;

https://brainly.com/question/17237604

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