2.003 Engineering Dynamics
Problem Set 3-solutions
Problem 1:
a) A satellite is circling the earth. It spins at a constant angular rate
0.05(rads/s)k . Two
sensitive science instruments, indicated by P in the figure, are symmetrically attached at the
ends
2.71/2.710 Optics
Practice Exam 1
Spring 09
1. Consider the two-lens system shown below. Lens L1 has focal length f , and lens L2
has focal length f /2.
(a) Set the separation distance d such that the Eective Focal Length (EFL) of the
combination equals f
3.012 PS 6
Issued: 10.27.04
Due: 11.03.04
3.012
Fall 2004
1. Point Group Symbols. There exist four two-dimensional point groups that are derived by
the addition of a mirror line through one of the four crystallographic rotation axes 2, 3, 4, and
6. The sy
2.71/2.710 Optics
Practice Exam 1 - Solutions
Spring 09
1. Consider the two-lens system shown below. Lens L1 has focal length f , and lens L2
has focal length f /2.
(a) Set the separation distance d such that the Eective Focal Length (EFL) of the
combinat
3.012 PS 7
Issued: 11.05.04
Due: 11.12.04
3.012
Fall 2004
BONDING
1. In order to get used to a representation in spherical coordinates, calculate the volume of the
Earths atmosphere (use as radius of the Earth 6,400 kilometers, and for the thickness of th
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Electrical Engineering and Computer Science
6.013 Electromagnetics and Applications
Quiz 2
Closed book, no calculators
Please note the formulas provided on a separate sheet. There are 4 problems on two p
3.012 PS 6 Solutions
3.012
Fall 2004
Issued: 10.27.04
Due: 11.03.04
BONDING
This problem set is meant to familiarize you with the basic ideas and the math behind the
Schrdinger equation:
1. Harmonic oscillator: we have studied the equation of motion for t
2.003 Engineering Dynamics
Problem Set 4 (Solutions)
Problem 1:
1. Determine the velocity of point A on the outer rim of the spool at the instant
shown when the cable is pulled to the right with a velocity of v. Assume r<R and
that the spool rolls
without
3.012 PS 7
Issued: 11.05.04
Due: 11.12.04
3.012
Fall 2004
THERMODYNAMICS
1. single-component phase diagrams. Shown below is a hypothetical phase diagram for a
single-component closed system. Answer the following questions about this diagram:
a. Apply the
MASSACHUSETTSINSTITUTEOFTECHNOLOGY
DepartmentofElectricalEngineeringandComputerScience
6.013 Electromagnetics and Applications Quiz 2 Solutions
Problem 1.(28/100points)
a) RTh=100ohmssincethereisnoglitchatt=2 andthereforenoreflectionatthesource
whentheste