Study Guides (273,580)
CA (149,513)
McGill (5,744)
MECH (37)
MECH 262 (13)
Final

MECH 262 Final: Suggested problems for Chapter-5 Solution

by OneClass984494 , Winter 2016
8 Pages
64 Views

Department
Mechanical Engineering
Course Code
MECH 262
Professor
Farhang Daneshmand
Study Guide
Final

This preview shows pages 1-3. Sign up to view the full 8 pages of the document.
5.1
CHAPTER 5
5.1 The ramp function appears as the following:
T = 0.02 sec
o = 2f
= 2(1/T)
= 2(1/0.02)
= 100 rad/sec
f(t) = 100t
0 001 t .
f(t) = 100t 2
001 002. . t
From Eq. 5.5,
T
on tdtntf
T
b0sin)(
2
Thus,
 
01.0
0
02.0
01.0
1)100sin()2100()100sin(100
02.02dtttdtttb
 
 
 
 
100 31831 10 31831 10
06366
3 3
. .
.
 
01.0
0
02.0
01.0
2)1002sin()2100()1002sin(100
02.02dtttdtttb
 
 
 
 
 
100 15916 10 15916 10
03183
3 3
. .
.
ao is the average over the period, Eq. 5.3
 
dttf
T
aT
o
0
1
Thus,
 
 
 
 
50 510 510
0
3 3
From Eq. 5.4,
5.2
T
on tdtntf
T
a0cos)(
2
 
01.0
0
02.0
01.0
1)100cos()2100()100cos(100
02.02dtttdttta
 
 
 
 
100 2023 10 2026 10
0
3 3
. .
0
)1002cos()2100()1002cos(100
02.0201.0
0
02.0
01.0
2
  dtttdttta
Without actually evaluating the values for ao, a1, and a2, we could have found
that they were each equal to zero since f(t) is an odd function.
5.2 The ramp function appears as the following:
T = 0.04 sec
o = 2f
= 2(1/T)
= 2(1/0.04)
= 50 rad/sec
f(t) = 50t
02.00 t
f(t) = 50t 2
04.002.0 t
From Eq. 5.5,
T
on tdtntf
T
b0sin)(
2
Thus,
 
02.0
0
04.0
02.0
1)50sin()250()50sin(50
04.0
2dtttdtttb
 
6366.0
103662.6103662.650 33
 
02.0
0
04.0
02.0
2)502sin()250()502sin(50
04.0
2dtttdtttb
5.3
 
3183.0
101831.3101831.350 33
ao is the average over the period,Eq. 5.3
 
dttf
T
aT
o
0
1
Thus,
 
02.0
0
04.0
02.0
0)0cos()250()0cos(50
04.0
1dttdtta
 
 
0
01.001.025
From Eq. 5.4,
T
on tdtntf
T
a0cos)(
2
 
02.0
0
04.0
02.0
1)50cos()250()50cos(50
04.0
2dtttdttta
 
0
10053.410053.450 33
Without actually evaluating the values for ao, a1, and a2, we could have found
that they were each equal to zero since f(t) is an odd function.

Loved by over 2.2 million students

Over 90% improved by at least one letter grade.

Leah — University of Toronto

OneClass has been such a huge help in my studies at UofT especially since I am a transfer student. OneClass is the study buddy I never had before and definitely gives me the extra push to get from a B to an A!

Leah — University of Toronto
Saarim — University of Michigan

Balancing social life With academics can be difficult, that is why I'm so glad that OneClass is out there where I can find the top notes for all of my classes. Now I can be the all-star student I want to be.

Saarim — University of Michigan
Jenna — University of Wisconsin

As a college student living on a college budget, I love how easy it is to earn gift cards just by submitting my notes.

Jenna — University of Wisconsin
Anne — University of California

OneClass has allowed me to catch up with my most difficult course! #lifesaver

Anne — University of California
Description
CHAPTER 5 5.1 The ramp function appears as the following: T = 0.02 sec = 2f o = 2(1T) = 2(10.02) = 100 radsec f(t) = 100t 0 t 0.01 f(t) = 100t 2 0.01 t 0.02 From Eq. 5.5, 2 T bn T 0 f(t)sin notdt Thus, b 2 0.0100t sin(100t)dt 0.0(100t 2)sin(100t)dt 1 0.02 0 0.01 3 3 100.183110 3.183110 0.6366 b 2 0.100t sin(2 100t)dt 0.0(100t 2)sin(2 100t)dt 2 0.02 0 0.01 3 3 1001.5916 10 1.5916 10 0.3183 aois the average over the period, Eq. 5.3 1 T ao T 0 f t dt Thus, a 1 0.100t cos(0)dt 0.0(100t 2)cos(0)dt 0 0.02 0 0.01 3 3 50 10 5 10 0 From Eq. 5.4, 5.1
More Less
Unlock Document

Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

Unlock Document
You're Reading a Preview

Unlock to view full version

Unlock Document

Log In


OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit