Recent content by CaptainP

Hello friends, I am working on a design project for my capstone course in my engineering curriculum. Part of the design involves a cord consisting of wires tightly wrapped helically (à la a spring) around a nylon rope core. An important specification of this design is the radius of curvature...

ANOVA tests whether the means of all samples are the same, so in this case an ANOVA test would test whether μ1 = μ2 = μ3. I need something rather different, testing whether the differences between specific pairs are equal.

Hello all, Consider 3 different samples. Each sample is independent. 1: 23, 25, 21, 22, 21, 22, 20, 23, 19, 22, 19, 21 2: 28, 27, 27, 29, 26, 29, 27, 30, 28, 27, 26, 29 3: 23, 20, 25, 21, 22, 23, 21, 20, 19, 20, 22, 21 I am being asked to test whether μ2 - μ1 = μ3 - μ2 with 99%...

Pretty theoretical question here. I was talking with one of my friends the other day about a basic statistics problem that utilizes random variates. The problem asked us to perform 20 simulations of the world series final using a U(0,1) distribution. One team was given a probability of winning a...

K but why is this considered given? Why is the only determinant of tension the applied force? Why does the weight on the left not impact the tension at all?

I buy that, but... Why does the rope necessarily have a 50N tension in the second machine? Does the weight on the left not contribute to the tension? Ex: what if it was a 20N weight, would it change the tension in the second Atwood machine? Or what if it was a 1N weight, or what if there was...

I am having difficulty reconciling this in my head. Imagine two Atwood machines (example). In both machines, the pulley is massless, there is no friction, but the rope is not massless, though it is inextensible. The rope and pulley in each machine are identical. The first is a traditional Atwood...

Homework Statement A rigid ball of mass m = 6kg and radius R = .23 m is sitting on a table. The mass center and geometric center of the ball coincide, but the radius of gyration about its mass center is k = .19 m. The ball is initially at rest. There is a coefficient of friction μ = .435...

Sorry, I should've included the correct answers in the initial post. The correct answer for (1) is V=\frac{σ_b}{ε_0}b\ln (\frac{c}{b}). The correct answer for (2) is σ_c=-ε_0E_0\frac{b}{c}.

Well to find the E-field from b<r<c, you use a Gaussian surface of a cylinder with radius b<r<c, so the enclosed charge is simply the charge σb. The electric fields from σc and σd should be irrelevant for this part. On top of that, the outer shell is grounded. If it weren't, σc would still equal...

Homework Statement The figure (found here) shows a cross-sectional view of two concentric, infinite length, conducting cylindrical shells. The inner shell has as an inner radius of a and an outer radius of b. The electric field just outside the inner shell has magnitude E0 and points radially...