11CHAPTER OUTLINE11.1 The Vector Product andTorque11.2Angular Momentum11.3Angular Momentum of aRotating Rigid Object11.4Conservation of AngularMomentum11.5The Motion of Gyroscopesand Tops11.6Angular Momentum as aFundamental QuantityAngular MomentumANSWERS TO QUESTIONSQ11.1No to both questions. An axis of rotation must be defined tocalculate the torque acting on an object. The moment arm ofeach force is measured from the axis.Q11.2A B C⋅×afis a scalar quantity, since BC×is a vector. SinceAB⋅is a scalar, and the cross product between a scalar and avector is not defined, AB Cis undefined.Q11.3(a)Down–cross–left is away from you: −×− =−±±±jikej(b)Left–cross–down is toward you: −×− =±ijkFIG. Q11.3Q11.4The torque about the point of application of the force is zero.
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