6. BONUS PROBLEM (CALCULUS BASED - NON NUMERICAL PROBLEM). Here we are designated to observe a block placed in an inclined plane. A block of mass M slides down a plane of angle 0. We are interested in determining the (a) speed the block after it has descended through height h, assuming that it starts from rest and that the coefficient of friction u is constant. (b) What is the change in the gravitational potential energy at the initial and final points of the block (c) Find the work done by the friction. Mind you that on part e you have to evaluate the integral. Hint: Draw a free body diagram and use the energy approach. Answers will be labeled all you have to do is to show the procedure on how we arrived at the results. Answer (a) v= M V2(1 - u cot0)gh, (b) AU = mgh, and (c) W = -Mg cos0 H(x)dx.1 %3D

6. BONUS PROBLEM (CALCULUS BASED - NON NUMERICAL PROBLEM). Here we are designated to observe a block placed in an inclined plane. A block of mass M slides down a plane of angle 0. We are interested in determining the (a) speed the block after it has descended through height h, assuming that it starts from rest and that the coefficient of friction u is constant. (b) What is the change in the gravitational potential energy at the initial and final points of the block (c) Find the work done by the friction. Mind you that on part e you have to evaluate the integral. Hint: Draw a free body diagram and use the energy approach. Answers will be labeled all you have to do is to show the procedure on how we arrived at the results. Answer (a) v= M V2(1 - u cot0)gh, (b) AU = mgh, and (c) W = -Mg cos0 H(x)dx.1 %3D

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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Concept explainers

Mechanical Drawings

A mechanical drawing is described as a technical drawing created by engineers following standard layout conventions, terminology, interpretation, and many other factors. It is also known as an engineering drawing.

Question

6. Can you explain in DETAILED how did you come up with the solution? I need to make a script out of it so I can explain it in class. Thank u

6.
FBD Of Block.
Datun
line
mgsina
N= Mmg cont
my
Mg sinp-fu = Ma
Mg sing - u gcoso = ha
->
a: 3(sing- u coso)
a= g sine (1- ucoto)
v2: u? + 2as
V V 28(1-ucHto jh
in Potemtial Enegy, AU= Uų-U,
- 0-mgh
Change
S-ve sign whu
We assume clatim
line is at fina
Poinion
blork dow by frietion. W= Mgcnso .S (when es= cont
when u is varying with n
- W= -

6. BONUS PROBLEM (CALCULUS BASED - NON
NUMERICAL PROBLEM). Here we are designated to observe
a block placed in an inclined plane. A block of mass M slides down
a plane of angle 0. We are interested in determining the (a) speed
the block after it has descended through height h, assuming that it
starts from rest and that the coefficient of friction u is constant. (b)
What is the change in the gravitational potential energy at the
initial and final points of the block (c) Find the work done by the
friction. Mind you that on part e you have to evaluate the integral.
Hint: Draw a free body diagram and use the energy approach.
Answers will be labeled all you have to do is to show the procedure
on how we arrived at the results. Answer (a) v=
V2(1 - u cot0)gh, (b) AU = mgh, and (c) W = -Mg cos0 H(x)dx.1
M
%3D
%3D
%24

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Part 2 Set up a spreadsheet solution to this problem. This will require that you derive one formula to express the relationship between the friction coefficient, the spring constant, and the spring compression; and a second formula to find the cost of using different slide and spring types. Set up your spreadsheet as shown below. You can fill in the "Acceptable?" column manually, rather than using a formula. Turn in a copy of your spreadsheet/Matlab work (solve for $) Friction Spring Constant Spring Compression M k 0.1 0.1 0.1 0.2 0.2 0.2 50 100 150 50 100 150 4 Part 3 Your boss has decided to look at a second option. The spring mechanism will be replaced by a drop box. After leaving the slide, the blocks will travel 5 horizontal feet through the air and pass through a hole into the drop box. Using the slide you selected above, determine how far below the slide (h) to place the hole in the drop box. Yo = 5.2017/5 BLADE 2 RAMPE SLIDE 8⁰ SLIDE Acceptable? (Yes or No) $' Cost 51 In DROP…
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