Question
Calculate the normal modes of a one-dimensional chain of atoms of mass M separated by a...
Calculate the normal modes of a one-dimensional chain of atoms of mass M separated by a distance a/2, where the force constants between nearest neighbors alternate between αand 10α. Sketch the dispersion relation ω(q) . Start by evaluating ω(q) at q = 0 and q = 2π/a.
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
A particle of mass m, is under the influence of a force F given by F...
A particle of mass m, is under the influence of a force F given
by
F = Fo [(sin ωt)ˆi + (cos ωt) ˆj]
where F0, ω are positive constants. If at t = 0 the particle is
at rest at the origin, find
(a) the equations of motion x (t) and y (t) of the particle,
and
(b) the work done by the force F from t = 0 to t = 2π/ω.
9. Object #1 has mass m; object #2 has mass 10m. They are separated by the...
9. Object #1 has mass m; object #2 has mass 10m. They
are separated by the distance d. We can conclude that:
Object 1 exerts greater gravitational force on object 2, than
object 2 exerts on 1.
Object 1 exerts smaller gravitational force on object 2, than
object 2 exerts on 1.
Object 1 exerts on object 2 gravitational force equal in
magnitude to force eqerted by 2 on 1.
Our answer depends on distance d.
10. Consider two objects:...
A boat of mass m is pushed away from the berth with the initial speed v0....
A boat of mass m is pushed away from the berth with the initial
speed v0. Suppose that the drag force f is proportional to the
velocity of the boat; the second Newton’s law implies ma = −kv
where v is the velocity of the boat, a is acceleration, k > 0 is
the drag coeffinient.
(a) Find the velocity of the boat as a function of time t. Your
solution may involve v0, m, k as parameters.
(b) Find...
Two waves traveling in opposite directions on a stretched rope interfere to give the standing wave...
Two waves traveling in opposite directions on a stretched rope
interfere to give the standing wave described by the following wave
function:
y(x,t) = 4 sin(2πx) cos(120πt),
where, y is in centimetres, x is in meters, and t is in seconds.
The rope is two meters long, L = 2 m, and is fixed at both
ends.
In terms of the oscillation period, T, at which of the following
times would all elements on the string have a zero vertical...
Finding the Spring Constant We can describe an oscillating mass in terms of its position, velocity,...
Finding the Spring Constant
We can describe an oscillating mass in terms of its position,
velocity, and acceleration as a function of time. We can also
describe the system from an energy perspective. In this experiment,
you will measure the position and velocity as a function of time
for an oscillating mass and spring system, and from those data,
plot the kinetic and potential energies of the system.
Energy is present in three forms for the mass and spring system....
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 6 minutes ago
asked 8 minutes ago
asked 11 minutes ago
asked 32 minutes ago
asked 36 minutes ago
asked 43 minutes ago
asked 57 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago