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Sagot :
The maximum number of cubes that can be stacked on the inclined plane without sliding is determined as 8.
Net force on the box
The net force on the box can be used to determine the maximum number of cubes that can be stacked without sliding.
The stack cubes must be at equilibrium.
∑Fx = 0
nW - μFₙ = 0
where;
- n is number of the cubes
- Fₙ is the normal force of the cubes
- W is the weight of the cubes acting parallel to the plane
n(mg)sinθ - μmgcosθ = 0
n(mg)sinθ = μmgcosθ
nsinθ = μcosθ
- let the coefficient of friction = 1
nsinθ = cosθ
n = cosθ/sinθ
n = 1/tanθ
n = (1)/(1/8)
n = 8
Thus, the maximum number of cubes that can be stacked on the inclined plane without sliding is determined as 8.
Learn more about cubes here: https://brainly.com/question/1972490
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