Other
Mechanical principles assignment
- Module
- N/a
- Institution
- Sandwell College
This is a while assignment to achieve a Merit standard in the Mechanical principles Unit in Level 3 Engineering year . All to do with turning moments
[Show more]
Seller
Follow
Content preview
B8KN
Task 2a (P1*)
30°
5KN
A
A 4KN
C 1m
45°
0.5m
3KN
D
0.5m 1m
Determine the magnitude, direction and sense of the resultant and equilibrant forces acting on the
above component and the perpendicular distance of their line of action from point A.
Solution:
A. Fv= F×cos×ϑ A. Fh= F×sin×ϑ B. Fh= F×cos×ϑ B. Fv= F×sin×ϑ
= 4×cos×45 = 4×sin×45 = 8×cos×30 = 8×sin×30
= 2.8KN = 2.8KN = 6.9KN = 4KN
Fh=2.8KN 4KN Fv=4KN
8KN
A B
Fv=2.8KN Fh=6.9KN
Forces Fh Fv Turning moments Turning moments
3KN +3 0 0 3 3KN -4.2 0
4KN +2.8 +2.8 4.2 0 4KN 6.9 -2
5KN 0 5 0 7.5 5KN 0 0
8KN -6.9 +4 3.4 2 8KN 0 -1.5
∑= -1..8
,To find theta:
ϑ=cos-1( )
=cos-1( )
=84.6°
FR=11.74KN
Use of Pythagoras theorem to find resultant force (R). Fv=11.8
FR=
=139.24-1.21
=√
=11.74
ϑ
Fh=-1.1
To find the turning moments i multiplied the length from the pivot and the force
Forces Fh Fv
3KN -1.5 0
4KN 0 -4.2
5KN 0 0
8KN -2 -6.9
-3.5 -11.1
∑m-14.6Nm
x=
x=
=-1.2
The arrow going downwards is the
equilibrant force, which has the
same values as the Resultant force
, Task 2b (P1*)
A crate of mass of 50-100 Kg is held in equilibrium by a force T acting parallel to the plane
as indicated. Determine using the resolution method the magnitude of the force T and the
normal reaction R ignoring the effects of friction.
R
P
80KG
30°
Gravity=9.81N
w = mg
w = 80x9.81
w = 784.8N
(To find "R" we use cos and to find "P" we use sin)
R= w×cos×ϑ P= w×sin×ϑ
R=784.8×cos×30 P=784.8×sin×30
R=679.65N P=392.4N
The force "P" is 392.4N and the reaction force "R" is 679.65N.
The benefits of buying summaries with Stuvia:
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
You can quickly pay through credit card for the summaries. There is no membership needed.
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 h4rn. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £8.48. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
52928 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now