Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

There are uniform cubes in a toy box, a child makes a pillar using these cubes on a rough plane which is inclined to the horizontal at angle theta. The cubes do not slide on each other. If tan theta = 1/8, the max no. of cubes that can be stacked is,
A. 4
B. 5
C. 8
D. 16

Please explain the methods of obtaining the ans . Will mark the brainliest for the best ans

Sagot :

onyebuchinnaji

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

#SPJ1

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.