- #1
miou@mitsou
- 4
- 0
Hello All,
I have come across a problem, which has troubled me for some time now. What needs to be done is the following:
A mass on a rod 0.6m (mass less) has a mass of 1 kgr attached at the end of it. The rod needs to be rotated 60 degrees, within t=120 sec (see image). What I would like to do is size a rotational spring (located at the pivot point) and a damping system, such that it that will damp the spring force. Thus the rotation happens within the specified amount of time.
I have written the generic differential equation of the system:
IΘ"+CΘ'+KΘ=0
and for a critical damped system for t=0, Θ=0 I have the solution:
Θ(t)=A*t*exp(-bt)
where A is a constant, and b is the damping coefficient.
My question is how can I continue, such that I can size the damping coefficient and the spring constant ?
https://imgur.com/CmBZ8TG
I have come across a problem, which has troubled me for some time now. What needs to be done is the following:
A mass on a rod 0.6m (mass less) has a mass of 1 kgr attached at the end of it. The rod needs to be rotated 60 degrees, within t=120 sec (see image). What I would like to do is size a rotational spring (located at the pivot point) and a damping system, such that it that will damp the spring force. Thus the rotation happens within the specified amount of time.
I have written the generic differential equation of the system:
IΘ"+CΘ'+KΘ=0
and for a critical damped system for t=0, Θ=0 I have the solution:
Θ(t)=A*t*exp(-bt)
where A is a constant, and b is the damping coefficient.
My question is how can I continue, such that I can size the damping coefficient and the spring constant ?
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