- #1

## Main Question or Discussion Point

http://imgur.com/a/8QjoW

http://imgur.com/a/8QjoW

Hello-

I am trying to determine the dynamics of this linearly-damped hinge. Assuming that:

∑Fx = -Fd * cos(45-θ/2) + Rx = m*dvx/dt

ΣFy = -Fd * sin(45-θ/2) - Fg + Ry = m*dvy/dt

ΣM (about the hinge) = Fg*cosθ - Fd*cos(45-θ/2)

I'm having trouble deriving the differential equations from these force balance equations. Do I need to form a continuity equation next? Any help is greatly appreciated!

Thanks...

http://imgur.com/a/8QjoW

Hello-

I am trying to determine the dynamics of this linearly-damped hinge. Assuming that:

- v(0) = 0
- damping constant = b
- door has mass = m

∑Fx = -Fd * cos(45-θ/2) + Rx = m*dvx/dt

ΣFy = -Fd * sin(45-θ/2) - Fg + Ry = m*dvy/dt

ΣM (about the hinge) = Fg*cosθ - Fd*cos(45-θ/2)

I'm having trouble deriving the differential equations from these force balance equations. Do I need to form a continuity equation next? Any help is greatly appreciated!

Thanks...

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