Recent content by katyushak

Wow, your derivation is a thing of beauty! I see that I need to ramp up on doing such long algebraic equations - I saw that Rcos (alpha) - L cost (theta) was being repeated a few times and tried to keep it "as is" but did not quite go the extra step of doing the substitutions. This makes it...

Quite a long equation Ok, I get this scary thing that I can't simplify (left side has all cos(theta)'s and right side has the rest): 4LR cos^2(alpha)cos(theta) - 8Lcos(alpha)cos^2(theta) + 8Rcost(theta) - *L^2Rcost(alpha)cost(theta) - 4L^3cost(alpha)cos^2(theta) = 4L^2cost(alpha)...

Math doesn't work out ehild, It looks like the math does not work out to be what it is supposed to be. I was able to get your expression for sin (beta) and it looks like v^2 should be 2g/3(Lcos[theta] - R cos [alpha] (the opposite of your expression, if I am not mistaken). Either way, I...

Hi, Thanks for the step-by-step. I've been working through these very formulas for two weeks now (ever since you helped me solve the confusion about how the string becomes slack) but just could not get the right answer: I am still not getting your expression for sin (beta) but I think this...

ehild, The problem is to find the relationship between the angles and radius/string, i.e., find theta. Here is the answer, I just don't quite know how to get there: cos (theta) = (R/L)cost (alpha) - [sqrt(3)/2][1-R/L] katyushak

Thanks ehild for your reply. I see now that the velocity is not constant since acceleration is not constant - because acceleration is a function of the sum of all forces (sorta) and the forces change. Thus, I have two questions that I think if I get answered will help me solve this completely...

Would that mean that at the critical, highest point, the speed of the body would be magnitude v = sqrt (FR/m) which is same v that the body had when the body began its circular motion and direction perpendicular to the radius - meaning that when the body starts its projectile motion, it has a...

I have a problem that is driving me nuts. It involves a pendulum of length L pulled back an angle theta and released. After it goes through its lowest point, it encounters a peg alpha degrees out and r meters from the top of the string. The mass swings up about the peg until the string...