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(1) If vector $\vec{\mathbf{A}}$ points along the negative $x$ axis and vector $\vec{\mathbf{B}}$along the positive $z$ axis, what is the direction of $(a) \vec{\mathbf{A}} \times \vec{\mathbf{B}}$and $(b) \mathbf{B} \times \vec{\mathbf{A}} ?(c)$ What is the magnitude of $\overline{\mathbf{A}} \times \vec{\mathbf{B}}$ and $\vec{\mathbf{B}} \times \vec{\mathbf{A}} ?$

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a) $A B \hat{\jmath}$b) $-\hat{j}$ directionc) $|\vec{A} \times \vec{B}|=|\vec{B} \times \vec{A}|=A B \sin 90^{\circ}=A B$

Physics 101 Mechanics

Chapter 11

Angular Momentum; General Rotation

Moment, Impulse, and Collisions

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Cornell University

University of Washington

Simon Fraser University

University of Winnipeg

Lectures

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

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So for the first part, we use the determinant rule 11.3 b. So we have a class big, toothy, equal dough. So these other directions on the respective components off a on this if confidence off being these reductions. And this is equal to eight times being Jacob, all other Dom's just go to zero on. From here. We can say that the direction off across B is in the J direction off with my direction. My based on question 11.4 b. C. That entertaining the victors in a cross product. The versus study in action. This means that because a will be in the negative direction all in the negative, by direction now far perpendicular in Victor and be victor still leave A and B are perpendicular to each other. We have it crossed be magnitude to be equal to magnitude off because a and this is equal to a B times sign off the angle between them, which is 90 degree now. And this is equal to it. Thanks. Me

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