MA3002 Solid Mechanics and Vibration, Part 1: Solid Mechanics
Solution to Tutorial 6
(Fracture mechanics of ductile materials)
Q6.1 A sheet of aluminium alloy of length L = 300 mm, width W = 100 mm and thickness
B = 10 mm has a central through-thickness c
MA3002 Solid Mechanics and Vibration, Part 1: Solid Mechanics
Solution to Tutorial 7
(Fatigue)
Q7.1 A shaft of circular cross-section is subjected to a steady bending moment of 1500 Nm
and simultaneously to an alternating bending moment of 1000 Nm in the
2015S1 PH1012: Physics A
Propulsion
Dr Ho Shen Yong
Lecturer, School of Physical and Mathematical Sciences
Nanyang Technological University
Week 5 & 6
"Heavier than air flying machines are impossible."
Lord William Thomson Kelvin (1824-1907)
"I think ther
2015S1 PH1012: Physics A
Vectors and 2D Kinematics
Dr Ho Shen Yong
Lecturer, School of Physical and Mathematical Sciences
Nanyang Technological University
Week 3
Giancoli Chap 3.1 3.9
"The secret of success is to know something nobody else knows."
- Arist
2015S1 PH1012: Physics A
More about forces
Dr Ho Shen Yong
Lecturer, School of Physical and Mathematical Sciences
Nanyang Technological University
Week 4
Giancoli Chap 5.1, 5.6, 14.1
"Sometimes it is not enough that we do our best; we must do what is requ
2015S1 PH1012: Physics A
1D Kinematics
Dr Ho Shen Yong
Lecturer, School of Physical and Mathematical Sciences
Nanyang Technological University
Weeks 2 and 3
"The man who does not read good books has no advantage over the man who cannot read
them."
- Mark
2015S1 PH1012: Physics A
Basics and Fluids
Dr Ho Shen Yong
Lecturer, School of Physical and Mathematical Sciences
Nanyang Technological University
Weeks 1 and 2
Giancoli Chap 13.1 13.7
"The true sign of intelligence is not knowledge but imagination."
- Al
NZQA registered unit standard
11392 version 4
Page 1 of 4
Title
Apply mechanical engineering principles to mechanical power
transmission
Level
5
Credits
10
Purpose
People credited with this unit standard are able to: explain and
apply principles of mechan
RESTRICTED
WORLD TRADE
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1 July 1998
ORGANIZATION
(98-2629)
Council for Trade in Services
ARCHITECTURAL AND ENGINEERING SERVICES
Background Note by the Secretariat
I.
INTRODUCTION
1.
The Secretariat has prepared this note at the request of the Coun
2015 PH1012 Tut 2: Thermal Physics / 1D Kinematics
Part 1
1. Giancoli P17.9 Super Invar, an alloy of iron and nickel, is a strong material with a very low
coefficient of thermal expansion (0.20 106 /C). A 1.6-m-long tabletop made of this alloy is
used for
2015 PH1012 Tut 1: Basics / Thermal Physics / Archimedes Principle
1. Giancoli P13.7 How The Earth is not a uniform sphere, but has regions of varying density. Consider a
simple model of the Earth divided into three regionsinner core, outer core, and mant
2015 PH1012 Tut 3: Newtons Laws 1 and 2D Kinematics
Part 1
1. [G4.24] The cable supporting a 2125-kg elevator has a maximum strength of 21,750 N. What
maximum upward acceleration can it give the elevator without breaking?
2. [G4.36] A train locomotive is
2015 PH1012 Tut 5: More about Forces, Impulse and Momentum
1. [A J86/II/8] When a body moves through a fluid, a retarding force due to turbulence may
be experienced. In the case of a sphere of radius moving with speed through a stationary
fluid of density
2015 PH1012 Tut 4: Motion and Dynamics in 2D
Part 1
1. [G3.61] A child, who is 45 m from the bank of a river, is being carried helplessly downstream by the
rivers swift current of 1.0 m/s. As the child passes a lifeguard on the rivers bank, the lifeguard
PH1012 Tut 6: Propulsion, Equilibrium, Work Done and Energy
1. [A level, J96] (a) A toy rocket consists of a plastic bottle which is partially filled with water. The
space above the water contains compressed air, as shown below. At one instant during the
MH1810 Math 1 Part 1 Algebra
Tang Wee Kee
Nanyang Technological University
(Nanyang Technological University)
Complex Numbers
1 / 66
Imaginary number
Does the quadratic equation x 2 + 1 = 0 have a real root? That is, are
there real numbers x at which x 2
MH1810 Math 1 Part 3 Dierentiation
Tang Wee Kee
Nanyang Technological University
(Nanyang Technological University)
Dierentiation Rules
1 / 29
Dierentiability and Continuity
Theorem
If a function f is dierentiable at x = c then f is continuous at x = c.
P
MH1810 Math 1 Part 3 Dierentiation
Tang Wee Kee
Nanyang Technological University
(Nanyang Technological University)
Derivatives
1 / 35
Tangent
Consider a curve and a xed point P on a curve. What is a tangent to a
curve at a point?
(Nanyang Technological U
MIE 302 - Mechanical Engineering
Lab Notebook Overview
Each student is required to maintain a laboratory notebook for all lab work done
throughout the semester. This notebook must be bound and contain removable carbon
copy pages. All preparatory computati
STUDY SUMMARY
SYSTEMS ENGINEERING 20132017
Please Note: This study summary comprises excerpts from the VCE
Systems Engineering Study Design. The summary is not a
substitute for the VCE Study Design. Users are advised to consult
the VCAA website
http:/www.
MA2009: Introduction to Electrical Circuit
& Electronic Devices Part II
Applications of Op-Amp
Zhou Yufeng (Assist. Prof.)
Email: [email protected], Office: N3.2-01-25
1
Review
For negative feedback ideal Op-Amp
Inverting
Noninverting
2
Applications of Op
PH1012 Tut 9: Electric Potentials, Current of electricity and Circuits
1. [S25.8] Two spherical conductors of radii r1 and r2 are separated by a distance much greater
than the radius of either sphere. The spheres are connected by a conducting wire. When
t
2014 PH1012 Tut 1: Basics / Thermal Physics / Archimedes Principle
1. Giancoli P13.7 How The Earth is not a uniform sphere, but has regions of varying density. Consider
a simple model of the Earth divided into three regionsinner core, outer core, and mant
PH1012 Tut 11 (B): Equilibrium
1. [G12.4] A tower crane must always be carefully balanced so
that there is no net torque tending to tip it. A particular crane
at a building site is about to lift a 2800-kg air-conditioning
unit. The cranes dimensions are s
Qn
1
Part
ai.
aii.
aiii.
aiv.
Answer
Car A: (0 + 0 ) 2
Car B: (0 + 2 ) 2
(4 + 3 )
3.25
When there is collision, two objects must be at the same space at the same time.
(Two linear non-parallel lines can only meet in space at only 1 position.)
1
4
The pa
PH1012 Tut 12: Rotational Dynamics and Thermodynamics
Part 1
1. [S6.42] A childs toy consists of a small wedge that has an acute angle
(Figure). The sloping side of the wedge is frictionless, and an object of
mass m on it remains at constant height if th
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