Two mass points of mass m1 and m2 are connected by a string passing through a hole in a smooth table so that m1 rests on the table surface and m2 hangs suspended. Assuming m2 moves only in a vertical line, what are the generalized coordinates for the system? Write the Lagrange equations for the system and, if possible, discuss the physical significance any of them might have. Reduce the problem to a single second-order differential equation and obtain a first integral of the equation. What is its physical significance? (Consider the motion only until m1 reaches the hole.)
2006-10-05 06:17:04 · 4 answers · asked by hayat a 1 in Science & Mathematics ➔ Physics
Please see references provided
Hint: x and y are not independent. x+y=l where l is the length of the string.
2006-10-05 08:02:28 · answer #1 · answered by Edward 7 · 0⤊ 0⤋
I remember doing this homework problem myself. Which text book is it out of? Goldstein? You should really do your own homework...how else are you going to learn? May I suggest picking the distance of m2 from the table top as one coordinate. Good luck and have fun with it.
2006-10-05 07:05:12 · answer #2 · answered by Link 5 · 0⤊ 0⤋
> the version between both numbers is two. "large difference" skill subtraction. x - y = 2 note that i have made x the bigger volume. > Ten cases the bigger volume minus 12 cases the smaller volume is eighteen destroy this sentence up into smaller products. undergo in recommendations order of operations. (ten cases the bigger volume) minus (12 cases the smaller volume) is eighteen 10x - 12y = 18 >perimeter of a rectangle is two*length + 2*width >Jordan has 14 funds enable d = form of dimes, and q = form of quarters. the total form of money is d + q the fee of the dimes is $0.10 d, and the fee of the quarters is $0.25 q
2016-11-26 19:08:14 · answer #3 · answered by hyre 4 · 0⤊ 0⤋
i like to eat boogers
2006-10-05 06:33:40 · answer #4 · answered by Harold I 1 · 0⤊ 0⤋