Recent content by Anro

Thanks for the answers everyone; here is what I have done so far: Choose {x_n} = 2 + (1/n). Then limn→∞ (x_n) = 2. Hence 1/((x_n) – 2) = n = f(x_n), and limn→∞ f(x_n) = limn→∞ n = ∞ Now choose {y_n} = 2 - (1/n). Then limn→∞ (y_n) = 2. Hence 1/((y_n) – 2) = (-n) = f(y_n), and limn→∞...

Homework Statement Prove that limx→2 (1/(x – 2)) does not exist. 2. The attempt at a solution My approach to this problem is to use the sequential criterion for nonexistence, that is, if {x_n} and {y_n} both converge to a (2 in this case), but limx→a f(x_n) is not equal to limx→a...

Now that’s more like it, and we don’t have to worry about any messy terms when solving the determinant for ω; thank you very much for your help xepma.

Thanks for your reply xepma; I understand your idea of solving this system using the method of undetermined coefficients to find complementary and particular solutions, and then you add them up to get the general solution. But this idea will give me a messy solution, and what I need to do is to...

Hello everyone, This is a normal modes problem that I’m working on, where the details are a bit tedious, but what I need to do is to write the following system: mx`` = –2kx + ky + c my`` = kx – ky + c In the following form: | m 0 | |x``| = |–2k k| |x| | 0 m | |y``| =...

Now it makes sense using your equations; still straightforward, but different way of looking at things. Thank you very much for your help Astronuc, I really appreciate it.

Homework Statement A beam of particles strikes a wall containing 2 × 10^29 atoms/m^3. Each atom behaves as a hard sphere of radius 3 × 10^–15 m. Find the thickness of the wall such that exactly half the incident particles go through without scattering. Homework Equations N(sc) =...

Update: I was able to get the inertia tensor by finding its individual components separately for I(xx), I(yy), and then using the perpendicular axes theorem to find I(zz); it turned out that I was wrong about my original approach for part (a). So now I did parts (a) and (b), but still looking...

Hello everyone; here is the problem that I’m currently working on: =============================================== a- Find the principal moments of inertia of a flat rectangular plate (mass = 30g, a = 80 mm, b = 60 mm) that rotates about a diagonal with velocity ω = 15 rad/s. b- What are...