- #1
Dracovich
- 87
- 0
Ok so this is propably borderline college :) But it is the first college course I'm in so don't bash me if this is too basic for this forum. (btw hi I'm new)
Well the question in the book is as follows:
"A mass m is attatched to the end of a helical spring (spring constant k) which hangs vertically from a fixed support. Show that the mass executes a simple harmonic motion with the T=2*pi*sqrt(m/k) about a point whose displacement below the unextende position of the spring is (m*g)/k".
So I'm suppose to show that the harmonic oscillation is independant of g, and I've been trying a couple of different things but not been very successful. Mostly been rewriting the formulas to see if anything comes to me. Thought perhaps i had something when i had x=(T^2*g)/(4*pi^2)=(mg)/k in which g goes out, but i don't really think that shows anything.
Plus i tried writing up the forces when the spring is fully extended (maximum of x) in each direction which gives F=mg+kx=0 and F=mg-kx=0 but that just basicly gives me the same mg=-kx which was used to begin with to derive x=(mg)/k so I'm not seeing a whole lot of help in that either :/
So perhaps someone here could give me a hint as to what direction i should go in, it would be greatly appreciated :)
Btw this site looks awesome, and I'm a msg board addict, so I'm really excited about this place :)
Well the question in the book is as follows:
"A mass m is attatched to the end of a helical spring (spring constant k) which hangs vertically from a fixed support. Show that the mass executes a simple harmonic motion with the T=2*pi*sqrt(m/k) about a point whose displacement below the unextende position of the spring is (m*g)/k".
So I'm suppose to show that the harmonic oscillation is independant of g, and I've been trying a couple of different things but not been very successful. Mostly been rewriting the formulas to see if anything comes to me. Thought perhaps i had something when i had x=(T^2*g)/(4*pi^2)=(mg)/k in which g goes out, but i don't really think that shows anything.
Plus i tried writing up the forces when the spring is fully extended (maximum of x) in each direction which gives F=mg+kx=0 and F=mg-kx=0 but that just basicly gives me the same mg=-kx which was used to begin with to derive x=(mg)/k so I'm not seeing a whole lot of help in that either :/
So perhaps someone here could give me a hint as to what direction i should go in, it would be greatly appreciated :)
Btw this site looks awesome, and I'm a msg board addict, so I'm really excited about this place :)