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(II) In what direction should the pilot aim the plane inProblem 64 so that it will fly due south?

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$6.3^{\circ},$ west of south

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

Cornell University

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Lectures

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.

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.

03:35

In what direction should t…

02:39

(II) In what direction sho…

03:45

03:15

True Velocity of a Jet In …

04:33

01:27

The thrust of an airplane&…

04:06

(III) An airplane whose ai…

01:55

So here we're going to say, Let's draw the diagram Going straight down would be the velocity of the plane relative to the ground and then at an angle. We have the velocity of the plane relative to the air and that essentially here would be the velocity of the air relative to the ground. So, um, for the velocity of the plane relative to the ground, this would be equal to the velocity of the plane relative to the air, plus the velocity of the air relative to the ground. And we can say that negative V of the plane relative to the ground times J hat would then be equal to negative 580 sign of Fada I hot plus 580 co sign of Data J hat and again here the units would be kilometers per hour and so weaken. This would be rather plus then we do, plus the velocity of the air relative to the ground. So this would be 90 0.0 co sign 45 degrees. I had a plus 90 sign of 45 degrees J hat again the unit's kilometers per hour, and we're going to equate ex components in the above equation, so we can say that zero equals negative. 580 sign of data plus 90.0 co sign of 45 degrees. Their fourth data would be equal to arc sine of 90. Co sign of 45 degrees, divided by 580. This is giving us 6.3 degrees west of south. That is the end of the solution. Thank you for watching.

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