The next two HomeworkB items pertain to the followingdrawing. 1) Which direction

Question

The next two HomeworkB items pertain to the followingdrawing.

1)  Which direction does the angularmomentum vector of the gyroscope point in?

2)  The direction of rotation(precession) of the gyroscope is:

A student sits on a freely turning stool and rotates withconstant angular velocity w1.She pulls her arms in towards her body, and her angular velocityincreases to w2.

3)  In doing this her kineticenergy:

The next two HomeworkB items pertain to the followingdrawing.

4)  Treat the boy as a point particleand the merry-go-round as a uniform solid disk. What is the angularvelocity of the merry-go-round after the boy has jumped ontoit?

5)  Which of the following quantitiesare conserved throughout this problem for the system consisting ofthe boy and the merry-go-round?

A gyroscope is turning such that in the picture the topof the wheel is coming out of the page and the bottom of the wheelis going into the page (the wheel is rotating in the sense of thecurved arrow). The bar (which is attached to the center of mass ofthe wheel and of negligible mass) is being held up by a piece ofstring wrapped around its end.

Explanation / Answer

The first one's by the right hand thumb rule and the third one'sbecause of the decrease in angular velocity. Only Angular momentumis conserved in this instance.

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