Alpha (α)= ๘ ( Angular Velocity )
Angular Acceleration α ̊= - (B/ml2)* α – (g/l) sin (θ)= f(t, θ, α)
B – damping co- efficient
g- Acceleration due to gravity
L – length of rod.
Since the angle more than 20 Degree its calculated by Runge- Kutta Method
Finally finding the Angular velocity from the above method in term of negative value.
Impulse F∆T = ml ๘2 - ml ๘1
Initial Angular velocity is zero when max angle.
So, F∆T = ml ๘2
angular velocity is calculated from the damping co-efficient value.
I have result of Impulse for the Damping co-efficient ( B) from 5000 ft-lbf-s – 65000 ft-lbf-s
Mass ( m) – 5000 Lb and length of rod is 15 ft
Answer Impulse Damping Co-efficient (ft-lbf-s)
1 -3372.45 5000
2 -3931.99 15000
3 -3417.23 25000
4 -2673.93 35000
5 -1882.30 45000
6 -1233.07 55000
7 -687.47 65000
My question is When damping co-efficient is like friction so, when it increase the impulse (input also should increase right, But I don’t know how this value is arrived, this study is done by industry. if anyone know the reason. Let me know I would be glad to you. Thanks in Advance.