Recent content by frank1234

I need help with my dynamics homework. This is what I have so far, I hope you can read my writing (let me know if something is unclear). Can someone help me with how to approach this problem and where to go next? Thank you!

Homework Statement A worker is trying to lift a 100lb bucket. Assume that the bucket is in static equilibrium as it is raised from 2ft to 18ft. Find the tension in the rope as a function of y. Homework EquationsThe Attempt at a Solution I solved for angle, a, which cam out to be...

Hi, I need help solving this ODE. I know the answer is a Bessel function but I need help on the process of getting there. Initial conditions y(0)=1 and y'(0)=0 xy''+y'+xy=0 I have made it this far... ${x}^{2}*\sum_{n=0}^{inf} [n(n+1)*{C}_{n+2}+(n+1)*{C}_{n+1}+{C}_{n}]*{x}^{n}=0$

Homework Statement Imagine a 50kg vehicle located at the origin. We wish to navigate this vehicle by means of applying directed force. From the point (-2000,16000,0)m, you set a course directly back to the origin. A force of 10N is applied in the appropriate direction for 5 seconds. 5...

Hi, I need help solving this ode, when I try to solve it I end up with a big crazy answer and I believe it should be simpler. (dy/dx)^2=((ay^4)/2)-(a+1)y^2+1 y(0)=0, y'(0)=1 and a is within [0,1]

Solve the 2nd order nonlinear differential equation, with initial conditions y(0)=0 and y'(0)=1 y''=2ay^3-(a+1)y with a within [0,1] I am pretty much lost on how to go about solving this. It would be greatly appreciated if someone could point me in the right direction on this. Thanks!

Any other suggestions on how to go about solving this would be helpful.

Hmmmm, I am not sure if that helps. I will have to give that some thought...

Homework Statement Solve the 2nd order nonlinear differential equation, with initial conditions y(0)=0 and y'(0)=1 y''=2ay^3-(a+1)y with a within [0,1] It would be greatly appreciated if someone could point me in the right direction on this. Thanks! Homework Equations The Attempt at a...