B20 ft15⁰AFig. P13.13 and P13.14Vo 13.14 Boxes are transported by a conveyor belt with a velocity vo to a fixedincline at A where they slide and eventually fall off at B. Knowing thatMk = 0.40, determine the velocity of the conveyor belt if the boxes areto have zero velocity at B.

Answered: Boxes are transported by a conveyor…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

13.14 Boxes are transported by a conveyor belt with a velocity vo to a fixed
incline at A where they slide and eventually fall off at B. Knowing that
Mk = 0.40, determine the velocity of the conveyor belt if the boxes are
to have zero velocity at B.

Expert Solution

Step 1

In this problem, we will calculate the velocity of the conveyor belt when the velocity of the box is zero by using the work-energy theorem. according to the work-energy principle, the net work done on a body is equal to the change in kinetic energy of the body (i.e change in velocity of the body).

Given data:

$\begin{array}{rcl} angle of inclination (θ) & = & 15 ° \\ length of AB part (L) & = & 20 ft \\ coefficient of friction (μ) & = & 0.40 \end{array}$

Find out:

The velocity of the conveyor belt if the boxes are to have zero velocity at B.

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