Experimental Question 2: An Optical "Black Box"
SOLUTION
a. Consider an incoming light beam at angle to the first mirror (see
figure). The angle to the second mirror is given by
.
Thus, the total defl
Theoretical Question 3: Birthday Balloon
SOLUTION
a. Solution using forces:
Let the balloons radius be , and let be the pressure of the inside air. Consider the balloons rear half, and write
down the
Theoretical Question 3: Birthday Balloon
The picture shows a long rubber balloon, the kind that is popular at birthday parties.
A partially inflated balloon usually splits into two domains of differen
Experimental Question 2: An Optical Black Box
TV and computer screens have advanced significantly in recent years. Today, most displays consist of a color LCD
filter matrix and a uniform white backlig
Theoretical Question 2: Creaking Door
SOLUTION
a1. The motion here is pure sliding under a constant kinetic friction. This is harmonic motion with a displaced
equilibrium point. The angular frequency
Experimental Question 1: Levitation of Conductors in an Oscillating Magnetic Field
SOLUTION
a. Using Faradays law:
( )
(
)
The overall sign will not be graded.
For the current, we use the extensive hi
Theoretical Question 2: Creaking Door
The phenomenon of creaking is very common, and can be found in doors, closets, chalk squeaking on a blackboard,
playing a violin, new shoes, car brakes and other
Theoretical Question 1: The Shockley-James Paradox
SOLUTION
a. The magnetic field created by the large loop at its center is:
Since
by:
, this is the field throughout the area of the small loop. There
Experimental Question 1: Levitation of Conductors in an Oscillating Magnetic Field
In an oscillating magnetic field of sufficient strength, levitation of a metal conductor becomes possible. The levita
Theoretical Question 1: The Shockley-James Paradox
In the year 1905, Albert Einstein proposed the special theory of relativity to resolve the inconsistency between
Newtons mechanics and Maxwells elect