Recent content by zebrastripes

Thanks RGV, but under what assumptions can I say for small |x|? And would you mind giving me a hint about what to do for part 2)? Thanks again!

Homework Statement A particle P of unit mass moves along an x-axis under the influence of the force F(x)=2(x^{3}-x) Firstly, I find V(x)=x^{2}-x^{4}/2. Where equilibrium points are F(x)=0 so x=0 with energy V(0)=0, x=1 with energy V(1)=V(-1)=1/2. And I have also sketched the graph...

I'm really struggling to get my head around some of the mechanics applications in my calculus module and would really appreciate it if somebody could help me get my head around it. I have this question: A particle P of constant mass m has a position vector: r=x(t)i+y(t)j, and moves...

Ahh Ok, so it's my modulus work that's really poor! I'm thinking you're equation changes mine to: Aω/(ω^2-Ω^2)<H(ω+Ω) So with the substitution for A I get (ω-Ω)/(ω^2-Ω^2)<(ω+Ω) So from this, could I finish by showing this is true? Or have I gone wrong again? I'm thinking that my...

Homework Statement Given the equation mx''+cx=cAsin(Ωt) with the initial conditions x(0)=0 and x'(0)=0. Solve the initial value problem for the case when Ω < ω and show that |x(t)| < H provided A < H(1-(Ω/ω)). Homework Equations The Attempt at a Solution For my solution to...