323_Physics ProblemsTechnical Physics

323_Physics ProblemsTechnical Physics - 11 Angular Momentum...

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11 CHAPTER OUTLINE 11.1 The Vector Product and Torque 11.2 Angular Momentum 11.3 Angular Momentum of a Rotating Rigid Object 11.4 Conservation of Angular Momentum 11.5 The Motion of Gyroscopes and Tops 11.6 Angular Momentum as a Fundamental Quantity Angular Momentum ANSWERS TO QUESTIONS Q11.1 No to both questions. An axis of rotation must be defined to calculate the torque acting on an object. The moment arm of each force is measured from the axis. Q11.2 A B C ⋅× af is a scalar quantity, since BC × is a vector. Since AB is a scalar, and the cross product between a scalar and a vector is not defined, AB C is undefined. Q11.3 (a) Down–cross–left is away from you: −×− =− ±± ± jik ej (b) Left–cross–down is toward you: −×− = ± ij k FIG. Q11.3 Q11.4 The torque about the point of application of the force is zero.
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