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A thin, uniform bar of length l and mass M is suspended horizontally. It is released...

A thin, uniform bar of length l and mass M is suspended horizontally.

It is released and is struck by a sharp, vertical blow upwards at one end. The duration of impulse is negligibly short.

(1) Call z the vertical direction. Write an equation for zcom(t) and draw a sketch of this graph. (What is the initial slope?)

(2) Write an equation for the angular displacement of the bar with respect to time.

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