1. Chemist116

    How can I find the tension in a wire when an equilibrium system makes a closed loop?

    The problem is as follows: Find the tension on wire labeled (1) as shown in the figure. (You may use $g=10\frac{m}{s^2}$) The alternatives given in my book are as follows: $\begin{array}{ll} 1.&\frac{1}{2}mg\\ 2.&mg\\ 3.&\frac{3}{2}mg\\ 4.&2mg\\ 4.&\frac{5}{2}mg\\ \end{array}$ In this...
  2. B

    a simple system with an impossible answer...

    first post here... currently an applied math student attending Stonybrook university. The question seems so simple. But I am unable to find an answer. jack can do 3 chemistry problems and 6 math problems an hour. Jill can do 4 chemistry problems and 7 math problems an hour. How long must...
  3. G

    Intersection of three lines - aka a system of three equations with three variables

    So I'm supposed to find the value of m for which these three lines intersect at the same point: mx+2y-1=0 2x+my+3=0 x-y-3=0 One of the many things I tried was to write all three in slope-intercept form like this: y=(1-mx)/2 y=(-3-2x)/m y=x-3 Then I thought, I can just equate the second and...
  4. G

    Find the moment of inertia of the system about the z-axis.

    A mass of 1 kg is placed at (1m,2m,0). Another mass of 2kg is placed at (3m,4m,0). Find the moment of inertia of the system about the z-axis.
  5. P

    Periodic table of elements found in other planets of Solar System. Is it possible to discover naturally occurring elements in other planets of Solar System ? I.e. Jupiter, Saturn, Venus, Mars, Pluto, Uranus, Neptune, Mercury. Thanks & Regards, Prashant S Akerkar
  6. E

    Mass spring system

    When a mass spring system is stretched 3cm from its equilibrium position , it starts to preform simple harmonic motion with frequency of 10Hz, at what instants does it first pass x=1.5cm
  7. D

    Find the orgin of a coordinate system relative to another?

    Hi, I have a point in 2D space, p that I have 2 sets of coordinates for; one set in the Q coordinate system, (qx, qy) and the other in the U coordinate system, (ux, uy). I would like to be able to calculate the Q coordinates of U(0, 0)? I know that I need transformation matrix, but am...
  8. W

    True statement describing the solution of the system

    Hi there, Could anyone please explain how to solve this question? Thanks:)
  9. B

    Solving a system of equations

    I have the following equations: c_0 = \frac{T^2b_1 + 2Q_RR_0T + 2Q_RRT + 4Q_RR_0RC + 2b_1RCT}{2Q_RT + 4Q_RRC} c_1 = \frac{T^2b_1 - 4Q_RR_0RC}{Q_RT + 2Q_RRC} c_2 = \frac{T^2b_1 - 2Q_RR_0T - 2Q_RRT + 4Q_RR_0RC - 2b_1RCT}{2Q_RT + 4Q_RRC} a_1 = \frac{-8Q_RRC}{2Q_RT + 4Q_RRC} a_2 = \frac{-2Q_RT...
  10. N

    Total Power in 3 phase system.

    Hi All, How do I calculate the total power by a 3 phase electrical supply when the rms input voltage = 350v? The power is delivered along a wire with a resistance of 0.170 ohm. Am I correct in saying V^2 / R = P = 720588.2353. MW megawatts answer. Any help would be much appreciated.
  11. B

    Gödel's theorem is invalid his G statement is banned by axiom of the system he uses

    Godels theorem is invalid as his G statement is banned by an axiom of the system he uses to prove his theorem a flaw in theorem Godels sentence G is outlawed by the very axiom he uses to prove his theorem ie the axiom of...
  12. J

    Hilbert proof system: Modal/Epistemic logic with one agent

    I am exercising in modal logic and I have found this exercise in my book: Indicate and explain an error in the following derivation in S4 1. $\phi$ → K$\phi$ (necessitation) 2. ¬K$\phi$ → K¬K$\phi$ (substitution, 1) Is the error in step 1? Because necessitation means if we can infer...
  13. H

    Probability at temperature in system has energy

    Salutations, I'm starting in statistical mechanics and reviewing some related studying cases I would like to understand what occurs in small systems with normal modes of vibration, for example, a small system that has 2 normal modes of vibration, with natural frequencies $\omega_1$ and...
  14. N

    System of linear equations

    see the attached, please no of the equations is 198 no of variables in each equation is 116 all the equations are linear what method could be used to solve such equations [indeterminate equations] Thanks
  15. W

    Linear system

    Question: Using the fact that \textbf{Ax=b} is consistent if and only if \textbf{b} is a linear combination of the columns of \textbf{A} to find a solution to \left( \begin{array}{cccc} 1 & 2 & 3 & 4 \\ 2 & 3 & 4 & 1 \\ 3 & 4 & 1 & 2 \end{array} \right)\left( \begin{array}{c} x\\ y\\...
  16. J

    Solve this system of equations

    x^2+yz+y^2*x=0 y^2+xz+z^2*y=0 z^2+xy+x^2*z=0
  17. R

    Computational nonlinear system equations understanding.

    Here is a snippet of some mathematical article: For a general, nonlinear dynamic system with parameters $\boldsymbol c$, running from time $0$ to time $T$ $\boldsymbol z\left(t+1\right)\boldsymbol=\boldsymbol s\left(\boldsymbol z\left(t\right),\boldsymbol u\left(t\right),\boldsymbol...
  18. E

    System of Equation: Value Problem

    I have just taken a test and know that I got this problem wrong (I copied it to my scratch paper to ask here). My book provided me many useful examples for comparable questions, but not one quite like this (checked twice). I am wondering what the solution is for this problem, as I sadly have no...
  19. B

    System of equations

    Here is the system: xy-Ax-Bx=0 xy-y-15x=0 The task is to find A and B. Is it possible?
  20. S

    System of equations

    There is no system of linear equations over R that has exactly two solutions. True or False. Justify your answer with a short proof or by a counter example.