Homework Statement
Consider a collection of 100 oscillators, each with an average of 10 quanta.
a) By what factor would \Omega(microstate) change if the total energy were increased by a factor of 2?
b) By what factor would \Omega change if one more oscillator were added to the original...
Consider a very simple model of a computer memory, in which molecules are either found to reside in the left half of their memory cell (encoding a "0"), or in the right half (encoding a "1"). Imagine that we have a 10-bit register. Initially each cell is in the "0" state (i.e., all particles...
Homework Statement
The four antennas are arranged in a square with side length d and each of the antennas has an adjustable phase of the radiation emitted. The intensity of radiation emitted by each antenna is I1 with wavelength λ. A receiver is placed at locations A (at the center of the...
Homework Statement
There are four ice cream flavors; chocolate,cookies,strawberry and vanilla.
How many different combination of flavors of three scoops of ice cream are possible if it is permissible to make all three scoops the same flavor?
Homework Equations
The Attempt at...
Homework Statement
Prove that
A \oplus B' \oplus C = (A \oplus B \oplus C)'Homework Equations
The Attempt at a Solution
I tried to use A \oplus B' \oplus C = ABC' + A'B'C' + A'BC + AB'C
But i am not sure how to proceed further from there...
Please could someone give me a little bit of help ?
Homework Statement
Prove (x+y)(y+z)(x'+z) = (x+y)(x'+z)
Homework Equations
The Attempt at a Solution
On LHS, i have done till
=(y+xz)(x'+z) 1st- distributive
=x'y+yz+xz 2nd- distributive(2ce)
=(x+y)(x'+z) 3rd-?
For third procedure, what properties should be...
I have tried to use the hint you have given..
Iw^2/2 = mgh
h = (2/3 - 1/2) ; length of center of gravity from pivot when it's at vertical
And i took moment of inertia I as 3*(2/3-1/2)^2
But when i calculated this, it was wrong...
I think RHS of the eqn is correct...
Is something wrong in...
I don't understand still...
We ARE interested in the point thing because it's only point related to the WALL..
How do we know the direction of the forces by the wall without considering that point..?
Please give me a little bit more of a hint...
Homework Statement
http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam3/fa07/fig19.gif
A dumbbell consists of a slender rod of negligible mass and length L = 1 m and small steel balls attached to each end with mass 1 kg and 2 kg, respectively. It...
I don't quite get the hint you have given...
Are you saying that there is both horizontal and vertical forces in the point thing?
(Then, the answer is FALSE because it has upward AND downward forces?)
I am so confused...T_T
Homework Statement
http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam3/sp08/fig23.gif
A child sends a hula hoop (moment of inertia I = MR^2) sliding without rolling across a smooth floor. The hoop has an initial velocity Vsliding. The hoop...
Homework Statement
http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam3/sp08/fig15.gif
The force exerted on the plank by the wall is upwards. (True/False)
Homework Equations
The Attempt at a Solution
In statics, when using \sumFy =...
Homework Statement
http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam3/sp08/fig10.gif
What's the net torques about the pivot, represented by the dot (•), in the diagram D. The solid arrows represent the magnitude and direction of the forces...
Homework Statement
A woman whose mass is 70 kg stands at the rim of a horizontal turntable that has a moment of inertia 300 kg m^2 and radius of 2 m. The system is initially at rest and is free to rotate about frictionless vertical axle through the center of the turntable. The woman begins to...
Homework Statement
http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam3/fa08/fig10.gif
A spool of mass M = 1 kg sits on a frictionless horizontal surface. A thread wound around the spool is pulled with a force T = 4 N as shown below. The total...