3.012 practice problems thermo solutions
Issued: 12.08.04
Not due
3.012
Fall 2004
THERMODYNAMICS
1. Flory-Huggins Theory. We introduced a simple lattice model for polymer solutions in
lectures 24 and 25. The Flory-Huggins model for polymer solutions is a
Homework I Solution
Problem 1
1.1
Natural Uranium : X (g/yr)
Enriched Uranium :Y (g/yr)
Discarded Uranium: Z (g/yr)
Mass Conservation: X=Y+Z
Mass Conservation of U-235:
0.71X=4.4Y+0.25Z
Using Eqs. (1) and (2), we get
Y=0.1108X
Eq.(1)
Eq.(2)
Eq.(3)
Hence,
3.032 Problem Set 1
Fall 2007
Due: StartofLecture,09.14.07
1.
TheI35bridgeinMinneapoliscollapsedinSummer2007.Thefailureapparentlyoccurredatapin
inthegussetplateofthetrusssupportingthebridgespan,atatimewhentheloadsonthebridge
spanwereunequalduetoconstructi
Fundamentals of Advanced Energy Conversion
Spring 2004
Homework Set #1
Problem 1. The purpose of this problem is to familiarize you with the units of energy
and to compare some of the characteristics of various energy sources.
A 1000 MWe power plant is be
3.15 Exam 2 - 2006
Problem 1
a.
Gate at zero volts: as VD becomes positive it puts the junctions into fwd bias
large current ows to D.
For negative VD , junctions are in reverse bias, can get pinch-o.
b.
A positive VG puts the jn in to reverse bias initi
2.71/2.710 Optics
Practice Exam 3
Spring 09
1. A thin bi-convex lens with the same absolute curvature on both faces is used in the two
imaging systems shown below. In the rst, both object and image are in air, whereas
in the second the object is immersed
3.15 Electrical, Optical, and Magnetic Materials and Devices
Caroline A. Ross
Fall Term, 2006
Exam 2 (6 pages)
Closed book exam. Formulae and data are on the last 4 pages of the exam.
This takes 80 min and there are 80 points total. Be brief in your answe
2.71/2.710 Optics
Practice Exam 3 - Solutions
Spring 09
1. A thin bi-convex lens with the same absolute curvature on both faces is used in the two
imaging systems shown below. In the rst, both object and image are in air, whereas
in the second the object
2.003 Engineering Dynamics
Problem Set 6 with solution
Problem 1: A slender uniform rod of mass m2 is attached to a cart of mass m1 at a frictionless
pivot located at point A. The cart is connected to a fixed wall by a spring and a damper. The
cart rolls
3.012 practice problems
Issued: 12.08.04
Not due
3.012
Fall 2004
BONDING
1. What are the quantum numbers used to describe the wavefunction of an electron in a central
potential ?
2. Summarize the conceptual steps that led us to the solutions of the Schrdi