p12 030

background image

30. The rate of change of the angular momentum is

d

dt

=

τ

1

+

τ

2

= 2.0ˆi

4.0ˆj N·m .

Consequently, the vector d

/dt has a magnitude

2.0

2

+ (

4.0)

2

= 4.5 N

· m andis at an angle θ (in the

xy plane, or a plane parallel to it) measuredfrom the positive x axis, where θ = tan

1

4.0

2.0

=

63

,

the negative sign indicating that the angle is measured clockwise as viewed “from above” (by a person
on the +z axis).


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