3.012 PS 3
Issued:
Due:
1.
3.012
Fall 2004
09.22.04
09.29.04
Lattices and symmetry.
a. A pair of periodic two-dimensional patterns are presented on the following sheets. We
have defined the concept of lattice and lattice points prior to our discussion of
3.012 Practice Problems for Recitation 1 (09.13.05)
Part I. System Classification (open, closed, isolated, adiabatic): state your assumptions!
1. What kind of system is a well-insulated thermos filled with hot tea and ice cubes?
What happens to the energy
3.012 PS 2
Issued:
Due:
3.012
Fall 2004
09.15.04
09.22.04 5pm
Graded problems:
1. In discussing coordination numbers and deriving the permitted range of radius ratio, RA / RB,
allowed for each ( where RA is the radius of the central ion and RB is the radi
3.012 PS 3
Issued:
Due:
1.
3.012
Fall 2004
09.22.04
09.29.04
Lattices and symmetry.
a. A pair of periodic two-dimensional patterns are presented on the following sheets. We
have defined the concept of lattice and lattice points prior to our discussion of
3.012 Practice Problem Answers for Recitation 2 (09.20.05)
The following are not meant to be comprehensive solutions, but simply a guide for
checking your answers. Please see me at office hours if you need further assistance.
Part I. Working with State Fu
1.033/1.57 H#2: Stress & Strength
Due: October 6, 2003
MIT 1.033/1.57
Fall 2003
Instructor: Franz-Josef ULM
Instrumented Nano-Indentation: Instrumented nano-indentation is a new technique in
materials science and engineering to determine material strength
2.003 Engineering Dynamics
Problem Set 10 with answer to the concept questions
Problem 1
Figure 1. Cart with a slender rod
A slender rod of length l (2m) and mass
m2(0.5kg)is attached by a frictionless
pivot at A to a block of mass m1(1kg).
The block move
1
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Electrical Engineering and Computer Science
2
6.013 Electromagnetics and Applications
3
Student Name:
4
Final Exam
Closed book, no calculators
May 18, 2009
Please note the two pages of formulas provide
HW#2-SOLUTION: Stress & Strength
Nano-Indentation
October 6, 2003
MIT 1.033/1.57
Fall 2003
Instructor: Franz-Josef ULM
1
Statically Admissible Stress Fields
A statically admissible stress eld is a stress eld which satises (i) the force boundary
condition
1.033/1.57 Q#1: Stress & Strength Conical
Indentation Tests
October 8, 2003
MIT 1.033/1.57
Fall 2003
Instructor: Franz-Josef ULM
Instrumented nano-indentation is a new technique in materials science and engineering to
determine material strengths at very
2.003SC Engineering Dynamics
Problem Set 1 Solutions
A general approach to problem-solving:
Most problems in dynamics can be reduced to three principal steps.
1.
2.
3.
Describe the motion,
Apply the appropriate physical laws,
Apply the appropriate mathema
2.003SC Engineering Dynamics
Problem Set 1 Concept Question Solutions
Concept Question 1: What is the magnitude of the horizontal component of footballs velocity
at the top of the arc? A. 80 ft/s; B. 40 ft/s; C. 40 3 ft / s .
Answer: The correct answer is
3.012 PS 2
Issued:
Due:
3.012
Fall 2004
09.15.04
09.22.04 5pm
Graded problems:
1. In discussing coordination numbers and deriving the permitted range of radius ratio, RA / RB,
allowed for each ( where RA is the radius of the central ion and RB is the radi