Recent content by mit_hacker

Homework Statement Which of the following situations would result in a magnetic force on the wire that points due north? Check all that apply. Current in the wire flows straight down; the magnetic field points due west. Current in the wire flows straight up; the magnetic field points due...

Ouch! I agree with all of you but that's lecturer what it is. It's probably one of those questions which the lecturer set by mistake or just for the sake of it. Evidently, everything about it is wrong so I guess I'll just ignore the question. Thanks you guys for your help!

Homework Statement In a particular cosmological model, the Friedmann equation takes the form L^2 (a')2 = a^2 − 2a^2 + 1, where L is a positive constant, the dot denotes time differentiation, and the initial condition is a(0) = 1. What are the units of L? Show, without solving this...

Homework Statement Solve the following differential equation: y' = (y/x) + (2x^3Cos(x^2)/y). Homework Equations The Attempt at a Solution You certainly can't separate variables here and you can't put it in the form in which you can find the integrating factor. This is not a...

Thanks a ton! Thank-you so very much. I really appreciate it.

Homework Statement We give 70J as heat to a diatomic gas, which then expands at constant pressure. The gas molecules rotate but do not oscillate. By how much does the internal energy of the gas increase. Homework Equations The Attempt at a Solution I did it this way: Heat...

Thanks a ton! I understand. Thanks a lot for your extremely quick help!

[SOLVED] Translational Kinetic Energy Homework Statement (Q) Find the average translational kinetic energy of nitrogen molecules at 1600K. Homework Equations Translational KE per degree of freedom = 1/2kT. The Attempt at a Solution Since Nitrogen molecules are diatomic, it has 5...

Dammit! All because of this gross gross gross error, I got the answer wrong in the exam. How many marks do you think I'll lose (out of 5?).?? Thanks a ton!

Here we go! Let the coordinates of the ant be x,y. Let the length of the shadow be s. Our goal is to find ds/dt. By similar triangles, s/y = 5/(5-x). So, 5s - sx = 5y Differentiating, 5(ds/dt) - (s(dx/dt) + x(ds/dt)) = 5(dy/dt) When (x,y) = (1,2), s = 5/2. 5(ds/dt) -...

Homework Statement (Q) A lamp is placed at the point (5,0) and it casts the shadow of an ant onto the y axis. When the ant is at point (1,2), how fast is the ant's shadow moving when the ant's x-coordinate is increasing at the rate of 1/2 units/sec and its y-coordinate is decreasing at...

Homework Statement Let f(x) = 1/(x^2+x+1). Let f(x) = sum(from o to infinity) Cn x^n be the McLaurin Series representation for f(x). Find the value of C36-C37+C38. Homework Equations The Attempt at a Solution I got the Taylor Series: sum(from o to infinity) x^3n - sum(from...

Ahhhhhhhhh! That was so simple?:smile: I can't believe that I didn't see it! Thanks a lot for your help PhantomJay!

Homework Statement (Q) A beam 4m long is supported at the left hand side by a hinge support and on the right by a roller support. It is under a non-uniform load intensity throughout by a load intensity given by: w = 25Cos(pi x/8)kN/m. Write equations for the shear force and the bending...

No probs! No problem! No hard feelings. Thanks a lot for your continued support!