Recent content by KCEWMG

Homework Statement [/b] An actor of mass 65.0 kg wishes to make a grand entrance onto a stage during a play. He attaches himself to a cable having length R=5.00 m. A stagehand gives the actor a push, imparting an initial speed onto the actor at heigh 1.5 m above the lowpoint of his ensuing...

Alright, the next problem is to find the values of K for which y=x^2+k is a solution to the differential equation 2y-xy'=14. After that, I figured that 2(x^2+k)-x(2x+k)=14. I then distributed and solved that k = 14/(2-x). I put K into the equation y=x^2+(14/2-x). After doing all of this, I got...

OH! So the final answer is positive and negative 9! I understand. Thank you!

Well, I did it again and got a new answer... After using the product rule, I got ((cos(ωt)ω)ω-sin(ωt)=81cos(ωt) Which gets me ω^2=81+sin(ωt) Right?

Alright! So instead of what I had, it is instead -sin(tω)-tωcos(ωt)=81cos(ωt) Then I get the -tan(ωt)-tω=81 This might be basic algebra, but where do I go from here? I don't think that I can take an ω out because it's the tangent of ω, right?

Question: Find the values of ω for which y=cosωt satisfies d^2y/dt^2 +81y = 0 where ω1<ω2 I guess I'm just having a lot of problem even figuring out how to do these at all. Since it's a second degree problem, I found the derivative of y=cosωt, which is -sin(ωt)*ω, and I found the...

Ahh, gotcha. CENTRIPETAL Acceleration. Thanks!

Homework Statement A small ball of mass m = 0.150 kg is sliding along a frictionless loop-the-loop. The loop-the-loop is standing on a table such that the plane of the loop is vertical. The loop has a radius of r = 0.200 m. What is the magnitude of the net force acting on the ball when it...

Ahh, 347000 m + 6.37x10^6 m! Perfect, thanks!

Homework Statement The International Space Station (ISS) circles the Earth at an altitude of 347 km. What is the period of the orbit of the ISS expressed in minutes? G=6.67x10^-11 N * m^2 /kg^2 M(Earth)=5.98*10^24 kg Homework Equations T^2/R^3 = (4Pi^2)/(GM) So: T^2=...