A uniform ladder whose length is 5.2 m and whose weight is 400 N leans against a frictionless vertical wall. The coefficient of static friction between the level ground and the foot of the ladder is 0.35. What is the greatest distance the foot of the ladder can be placed from the base of the wall without the ladder immediately slipping

the greatest distance the foot of the ladder can be placed from the base of the wall without the ladder immediately slipping is 3.3424 m

Explanation:  

Given the data in the question and as illustrated in the images below;

without the ladder immediately slipping, the net torque and the net force mus all balance out.

from the first image;

In the x, the force is;

= N₂

mg = N₁

the torque about the ground contact point gives the following equation

N₂Lsin∅ = mgcos∅

solving for ∅

tan∅ = mg / 2N₂      55      

∅ = tan⁻¹ (  mg / 2N₂ )    

we already know that N₂ =  = μN₁ = μmg

so,

∅ = tan⁻¹ (  mg / 2μmg )

∅ = tan⁻¹ (  1 / 2μ )

given that; The coefficient of static friction between the level ground and the foot of the ladder μ = 0.35

we substitute

∅ = tan⁻¹ (  1 / (2×0.35 ) )

∅ = tan⁻¹ ( 1.42857 )

∅ = 55°

now to get the required distance;

from the second image; cos∅ = d / L

d = Lcos∅

given that; length of the ladder = 5.2 m

we substitute

d = 5.2cos(50)

d = 3.3424 m

Therefore, the greatest distance the foot of the ladder can be placed from the base of the wall without the ladder immediately slipping is 3.3424 m

answer: the direction of the wind is expressed as the direction from which the wind is blowing. for example, easterly winds blow from east to west, while westerly winds blow from west to east.

explanation:

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia