Exam 1 Review

Circle divided into four quarters

Radial Unit Vector

Length of Radial Vector

||r||

Radial Vector

Linear Velocity

Angular Velocity/Frequency

cos(wt)x_hat + sin(wt)y_hat

2pi Total

r(-wsin(wt)x_hat + wcos(wt)y_hat)

v dot v

v = wr

-w**2 * r_hat(t)

a = w**2 * r = v**2 / r

New Moon

First Quartered Moon

Full Moon

Last Quartered Moon

Geometric Description and Rationale of a thing to be built

Establish Requirements (Mission of Vehicle, Goals)

Conceptual Sketch (Choice of Wings, engines, etc)

Sizing, Weight, and Fuel

Out of the Nose

Out of the Right Wing

Out of Bottom of Plane

Positive Direction to the Right about x-axis

Positive Direction Upwards about y-axis

Positive Direction to the Right about z-axis

Main Body of Plane

The Wing

Wheels beneath plane

The short vertical wing on the back of the plane

The flap on the Vertical Stabilizer that controls the plane's Yaw

The short horizontal wing on the back of the plane

The flaps on the Horizontal Stabilizer that controls the plane's Pitch

The engine on the front of the plane

Inner-most flap on the back of the main wing that controls Pitch

The Leading Edge flaps on the front of the main wing

The outermost flaps on the back of the main wing to control Roll

Stored in the Wings or in the Fuselage

Made really big due to Mar's thin atmosphere

Covered the top half of the rover

Lowers Rover from back shell

Used to guide to guide rover gently away from Lander and to surface

Rover

Covered the bottom half of the rover

The "height" of the wing, not the span

The Chord (c) is constant

The optimal wing for speed and reduced drag, shaped like an ellpise

Easier to produce version of the Straight Elliptic Wing

When the leading edge or the rear edge are moved, shaping a triangular wing

The base of the wing where it attatches to the fuselage

The end of the wing opposite of the croot

Ctio/Croot

b

b * Croot

b**2 / S or b/Croot

( ( Croot + Ctip) / 2 ) * b

The leading edge of the wing, the first quarter of the Croot

Moving the quarter chord edge up or down on a wing. Adds speed and fragility.

Quarter Chord is swept backwards

The back Quarter Chord is swept forwards

Angle from the tip of the croot down to the swept length

Wings with discontinuous segments

The Fixed-Star System

F = (-GMm)/ r**2

Number of cycles completed per unit time in a circular path

w/(2pi)

Time to complete one cycle

T = 2pi/w = 1/f

E = KE + PE

1/2(mv**2)

GMm/ r

F=ma

mv

F

r cross P

r cross F

Torque

CM = (r1*m1 + r2*m2)/(m1 + m2)

Force acting towards the center

J, Angular Momentum

Angular Momentum of Particles about CM + Angular Momentum of CM about Origin

All Forces are Central Forces

m1v1r1 = m2v2r2

All planets move in an elliptical path with the Sun at one focus

A line drawn from the Sun to a Planet sweeps out equal areas in equal time

Suared Period of Revolution = Cubes of semi-major axises of ellipitcal orbits (T**2 = a**3)