The angular momentum of the propeller of a small airplane

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The angular momentum of the propeller of a small airplane points forward.

(a) As the plane takes off, the nose lifts up and the airplane tends to veer to one side. To which side does it veer and why?

(b) If the plane is flying horizontally and suddenly turns to the right, does the nose of the plane tend to move up or down? Why?

 
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