The maximum number of cubes that can be stacked on the inclined plane without sliding is determined as 8.
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Net force on the box</h3>
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: brainly.com/question/1972490
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