- #1
oli543
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Hi, I was wondering if I could have a bit of guidance with this question (if you can understand my drawing of it!)
http://img222.imageshack.us/img222/376/scan1md.jpg"
It is basically a representation of the main hydraulic ram and boom assembly for a telescopic handler, similar to this:
http://www.jcb-store.com/BidZone/newImages/HPIM0365(1).JPG"
Theta = angle of boom from the vertical
Phi = angle of cylinder from the horizontal
F = Force from the cylinder piston
m1g = Mass of the boom x gravitational constant
m2g = Mass of load x gravitational constant
b = Total length of boom
c = Length of cylinder
L = Extension of piston from cylinder
d = distance from boom pivot to boom/cylinder connection pivot
The magnitudes of F, m1g, m2g, b, c, d are all constant
Theta, Phi, and L can all vary
When time, t = 0, L=0, theta dot=0, phi dot=0
Basically I need to calculate the values of theta and L at time t.
My working so far (probably gone completely down the wrong path!):
Taking moments about A (the boom pivot point)
(d x F x sin phi) - (1/2b x m1g x sin theta) + (b x m2g x sin theta) = (d x (m1+m2) x "theta double dot")
That's about as far as I can get, and I'm not even sure if that's correct. If anyone can even give me a hint as to how to start this question, that'd be a great help. If any more information/a better diagram is needed, just ask.
Thanks a lot for your help, your all absolute stars
http://img222.imageshack.us/img222/376/scan1md.jpg"
It is basically a representation of the main hydraulic ram and boom assembly for a telescopic handler, similar to this:
http://www.jcb-store.com/BidZone/newImages/HPIM0365(1).JPG"
Theta = angle of boom from the vertical
Phi = angle of cylinder from the horizontal
F = Force from the cylinder piston
m1g = Mass of the boom x gravitational constant
m2g = Mass of load x gravitational constant
b = Total length of boom
c = Length of cylinder
L = Extension of piston from cylinder
d = distance from boom pivot to boom/cylinder connection pivot
The magnitudes of F, m1g, m2g, b, c, d are all constant
Theta, Phi, and L can all vary
When time, t = 0, L=0, theta dot=0, phi dot=0
Basically I need to calculate the values of theta and L at time t.
My working so far (probably gone completely down the wrong path!):
Taking moments about A (the boom pivot point)
(d x F x sin phi) - (1/2b x m1g x sin theta) + (b x m2g x sin theta) = (d x (m1+m2) x "theta double dot")
That's about as far as I can get, and I'm not even sure if that's correct. If anyone can even give me a hint as to how to start this question, that'd be a great help. If any more information/a better diagram is needed, just ask.
Thanks a lot for your help, your all absolute stars
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