Not sure how helpful this is but it shows how to drive the kinematics of a 'Follower' null with a spring constraint acting on its ICE Kinematics. It requires a simulated tree. I don't think there's any way of producing the same effect without simulation. With only a modeling stack you only have access to the current frame's data. To use just press play and drag the 'Master' null around. You can play with damping, mass and stiffness.

There's also an example of a projectile simulation (using the standard particle system and Simulate Particles) compared with a Null which has it's kinematics driven by a hand-built 'simulate' compound using a basic Euler integration technique (the same one, I think, they use in the built-in compound). All the concepts are directly transferable e.g. in this example both systems use the built in Gravity force and it works in the same way.

Scene (2013 SP1) here:
https://dl.dropboxusercontent.com/u/69741069/jj_spring_null_euler.rar

Julian

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