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$$ \begin{array}{l}{\text { (1) If } V_{x}=7.80 \text { units and } V_{y}=-6.40 \text { units, determine the }} \\ {\text { magnitude and direction of } \vec{\mathbf{v}} .}\end{array} $$

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Magnitude $=10.1$ unitsAngle $=-39^{\circ}$

Physics 101 Mechanics

Chapter 3

Kinematics in Two or Three Dimensions; Vectors

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Rutgers, The State University of New Jersey

University of Washington

Hope College

McMaster University

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02:34

In physics, a rigid body is an object that is not deformed by the stress of external forces. The term "rigid body" is used in the context of classical mechanics, where it refers to a body that has no degrees of freedom and is completely described by its position and the forces applied to it. A rigid body is a special case of a solid body, and is one type of spatial body. The term "rigid body" is also used in the context of continuum mechanics, where it refers to a solid body that is deformed by external forces, but does not change in volume. In continuum mechanics, a rigid body is a continuous body that has no internal degrees of freedom. The term "rigid body" is also used in the context of quantum mechanics, where it refers to a body that cannot be squeezed into a smaller volume without changing its shape.

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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.

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(1) If $V_{x}=6.80$ units …

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If $V_{x}=7.80$ units and …

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(I) If $V_x =$ 9.80 units …

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'(I) If Vx = 9.80 uni…

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A vector has an $x$ compon…

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So here we know that Bees of X is going to equal positive 7.80 units and then v sub y is equal negative 6.40 units. So given that we have a positive X component and a negative, why component? This will be in the fourth quadrant, and we can say that the magnitude of the would be equal to the sum of the square root of the sum of the squares. So 7.87 point 80 squared plus negative 6.40 squared all to the 1/2 power. Uh, this is giving us 10.1 units and then the Seder. The direction would be equal to Arc Tanne of Visa. Why divided by Visa X. So this will be equal to our 10 of negative 6.40 divided by 7.80 And this is giving us negative 39.4 degrees. So we can say that Fada equals 39.4 degrees and we can say below positive X axis. So this would be our direction and this would be our magnitude. That is the end of the solution. Thank you for watching

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