100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
SWK122 Summary CA$9.91   Add to cart
Quickly navigate to
Preview
  2.  
  3. University Of Pretoria (UP)
  4.  
  5. SWK 122 : Mechanics (SWK122)

Summary

SWK122 Summary

1 review
 35 views  1 purchase
  • Course
  • SWK 122 : Mechanics (SWK122)
  • Institution
  • University Of Pretoria (UP)

This document is a summary of the SWK122 module which I made from using Jeff Hanson as main inspiration and uses some of his techniques in solving certain questions. It has a couple of example questions which is not filled in.

Preview 4 out of 47  pages

Document information

  • July 26, 2023
  • 47
  • 2022/2023
  • Summary

Subjects

  • mechanics

Written for

  • University of Pretoria (UP)
  • SWK 122 : Mechanics (SWK122)
All documents for this subject (4)

1  review

review-writer-avatar

By: sannelievanzyl • 1 year ago

Seller

avatar-seller
StudentAdvisor

Reviews received

Content preview

SWK 122 Practice
Jeff Hanson

, to
nting
F =
Fx

F 2500
=

X AB
, ~T
2500N
=




A)

-
(B
Mason,Filien
-




Bios 140 602
+
so,
8021
+
see




=
40 60 80k
-
- +




187.7
F FY=




F
2500( 0.5575 0.143)
0.3712 0.557 0.743
=




0.3712
= - + -
-
+ -




-


Fa ( = -
927.52 1392.5
+ -
1857.54)N
e

, Resultantof Vector forces:
① Blue
Z Triangle




is
-
② Directional




it
Cosines


③ U -
I method

Goal:Find of
the resultant vectors Ben:F x FsinOzcos4 =




Fy F sin
=

Ozs in
-y Fz=Fcos Oz
F, Fz, Fs Find the directional


Cosine the resultant.
angles
of




Directional Cosines:
F 80N
For F,: Blue
Using
=




Triangle 0 600 Fe Fcos- Fy Fcosty Fz FcosOz
= =




=
=
-




48.96 80cosfy
80cosfx -51.42= 80cos
Oz
Oz 1350
..-
..28.28
=
=
=




:. Ox 69.30,
=


:.fy=127.7, =.0z 130.0,
=




... F Fsinz
= cosd Fy Fsin
=


Oz sin
=
(80) sin 135°cos(-60) 80sin
=


135:sin (60) Fz Fcosz
=




=28. 28N =-
48.99N 88 cos 135
=




51.42A
Calculate Fresultant:
= -




48.995-51.42K)
minee
-
N


F, (28.28i 48.985 56.57)N
=
- -




For Fe: Directional ( +
42.43y
30.00k)N
Using
+




cosines. F2 =
-

30.00


Fz (20.86i 26.085 10.434)N
+ +

=




Fx Fcos c
=




Fy FcosOy
=




Fz Fcos 8z
=




68
=
cos 128 =
60 cos 45 -60 cos 60 Fres=(19.14 2
19.53y-16.141) N
+




30N 42.43 N 30A IFres)=31.75N
=-
=
-




30i) 3scosty cost is
"435
+
N coste =
-




:.x 52.93°:fy
=


52.04°:.0z 120.55°
=


=




For Fs:X/U-method




4A
(0.5963: 0.1454 0.29813)
=



+ +




AB (4i i
5j 2i)
=
=

+ +




1AB) =



6.708 N
E 1F =




(35)(0.5963i 0.74525 0.2981k)
=
+ +




i) N
ne i
10.43
26.095
+

+

, Dot Product
of vectors:



I main
equations:

0.
coso-l
for 'f'
finding angle between 2 rectors




⑳I Finel Fo =




line


for
finding the
magnitude
ofthe
projection
of a force on
any
line.




F, 125N
=




E
a rA




...in
a) Find the between E, and Fr
↳M

L
7
angle
54.52: b)Find the of Er projected
<Fz
magnitude
210N
=




Oz =?
2m -
Ea &= Onto rector E..
L 7 Y
r
120



↑



sch
W cos", +cosOy coz +
1
=




2i 4k cos120'+cos 50'+cos28z=1
3j
- +
-




12+3 +4 ...fz
54.52,
= + a
5.385
=
or 1 25.5



Tr =
-0.37141 -




0.55715 0.7428k
+




F, FUr,= = -
46.385 -




69.635 92.88k
+

E F cosfx
= 210cos 120 = -
=
105 i


F 122.0k
135.0y
=
-105i
+ +




21010s50
Fy FcosOy 134.995
=
=

=




F,.Fz 4870
=
-
9400 11322
+

6792
=

Fz Fcos8z
= 210
=
cos 54.5
=
121.95/

F 122.0k
135.0y
=
-105i
+ +




F,.Fz 6792
=




=cos 8
(125)(210) 26250
cos8 0.259
=


Fine 38.96-75.2
= 90.6
+
54.36
=
N
...f
75]
=

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller StudentAdvisor. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$9.91. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

80467 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
CA$9.91  1x  sold
  • (1)
  Add to cart