Recent content by DeldotB

  1. DeldotB

    Consistent Trajectory for a non-zero rest mass particle?

    Ah, I see. A miss-type. Well, nevertheless, this trajectory doesn't seem to be consistent even though my assignment is saying it should be.
  2. DeldotB

    Consistent Trajectory for a non-zero rest mass particle?

    PeroK: Not sure what you mean... I get "c" as the limit. Maybe my work is wrong? Lim\, \, t\rightarrow \infty (\frac{cgt}{\sqrt{1+(9.8))^2t^2}})=cg(Lim\, \, t\rightarrow \infty (\frac{t}{\sqrt{1+(9.8))^2t^2}}))=cg(5/49)=c. So as t approaches infinity, the velocity approaches c.
  3. DeldotB

    Consistent Trajectory for a non-zero rest mass particle?

    Homework Statement Good day all! Quick question: As part of a problem statement, I'm asked to verify if the trajectory: \frac{dx}{dt}=\frac{cgt}{\sqrt{1+g^2t^2}} Is "consistent". Homework Equations None The Attempt at a Solution Im not sure what "consistent" means. Does it mean, \frac...
  4. DeldotB

    Mean and Variance of a data set

    Homework Statement In this problem we will be generating and analyzing lists of normally distributed random numbers. The distribution we are sampling has true mean 0 and standard deviation 1. If we sample this distribution N=5 times, what do we expect the mean to be? How about the standard...
  5. DeldotB

    WKB Approximation with V-Shaped well

    Homework Statement Good day all! I'm studying for finals and i'd like to know how to do this problem (its not homework): "Using the WKB method, find the bound state energies E_n of a particle of mass m in a V-shaped potential well: V(x)= \begin{Bmatrix} -V_0 (1- \begin{vmatrix}...
  6. DeldotB

    Calculate the Lagrangian of a coupled pendulum system

    I've never written down the lagrangian of an extended object. I realize the K.E of the plank would be the K.E of its center of mass ( \frac{1}{2}m( \dot{x}^2+ \dot{y}^2) ) and probably some rotational K.E like \frac{1}{2} I \omega^2 but I don't know how the strings affect these terms...
  7. DeldotB

    Calculate the Lagrangian of a coupled pendulum system

    Homework Statement Calculate the Lagrangian of this set up: Imagine having two ropes: They are both attached to the ceiling and have different lengths. One has length b and the other has length 4b. Say they are hooked to the ceiling a distance 4b apart. Now, the ropes are both hooked to a...
  8. DeldotB

    Construct States from Clebsch-Gordon Coefficients

    Homework Statement Hello all, Im asked to construct the state | \frac{5}{2} , \frac{3}{2} \rangle from the eigenfunctions | L, L_z\rangle and the electron states | \uparrow \rangle and | \downarrow \rangle . Homework Equations Clebsch Gordon Coefficient's table The Attempt at a...
  9. DeldotB

    Sledding Down a Hill - Speed Calculation

    Thanks for the help gneill
  10. DeldotB

    Sledding Down a Hill - Speed Calculation

    Homework Statement Say you push a sled of mass m up a hill that is angled upwards at a certain angle \theta at a constant velocity. The hill has snow on it offering a friction force that is equal to 30% of the sleds weight. If you pushed the sled down the hill with the same amount of force...
  11. DeldotB

    When Does a Bouncing Ball Come to Rest?

    Ahh, I see what you mean. So after the first bounce, I have: Time for ball to reach ground again: 0= \mu v_0 -1/2gt^2 solvig for t yields: 2 \mu v_0/g so t_1 =2 \mu v_0/g Time for ball the reach the ground the third time: t_2= 2 (\mu)^2 v_0/g and so on. Is this the right direction?
  12. DeldotB

    When Does a Bouncing Ball Come to Rest?

    I solved the quadratic for the time. Is this not the right approach?
  13. DeldotB

    When Does a Bouncing Ball Come to Rest?

    Homework Statement Hello! A ball is dropped and falls to the floor (no horizontal velocity). It hits the floor and bounces with inelastic collisions. The velocity after each bounce is \mu times the velocity of the previous bounce (here \mu is the constant of restitution). The velocity of...
  14. DeldotB

    Neutrino Oscillation: Solving for x,t

    Homework Statement Suppose that two neutrinos are created in the sun - call the states |{ \nu_1}\rangle and |{ \nu_2}\rangle . (Among many other things) I am asked to show that once the neutrinos have propigated a distance x after a time t, the states satisfy: |{ \nu_1}(x,t)\rangle =...
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