chapter2

# chapter2 - A A E 5 90E 2 DEFINITION OF ROCKET PERFORMANCE C...

This preview shows pages 1–8. Sign up to view the full content.

Ch2 – 1 AAE 590E 2. DEFINITION OF ROCKET PERFORMANCE 2. DEFINITION OF ROCKET PERFORMANCE

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Ch2 – 2 AAE 590E 2.1 LAWS OF MECHANICS 2.1 LAWS OF MECHANICS
Ch2 – 3 AAE 590E Propulsion Propulsion PROPULSION Changing the Motion of a Body JET PROPULSION Reaction Force due to momentum of ejected matter BODY m B dm ! v ejected mass ! F ! v Body ! ! v Body ! D ! F Body ! v Body BODY m B

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Ch2 – 4 AAE 590E NEWTON’S LAWS OF MOTION NEWTON’S LAWS OF MOTION Newton’s Laws of Motion describe the relationships between forces acting on a body and the motion of the body. Newton’s First Law: Law of Inertia Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nisi quatenus a viribus impressis cogitur statum illum mutare. Every body perseveres in its state of being at rest or of moving uniformly straight forward, except it is compelled to change its state by force impressed. Newton’s Second Law: Law of Resultant Force Mutationem motus proportionalem esse vi motrici impressae, et fieri secundum lineam rectam qua vis illa imprimitur. The rate of change of momentum of a body is proportional to the resultant force acting on the body and is in the same direction. Newton’s Third Law: Law of Reciprocal Actions Actioni contrariam semper et aequalem esse reactionem: sive corporum duorum actiones in se mutuo semper esse aequales et in partes contrarias dirigi. All forces occur in pairs, and these two forces are equal in magnitude and opposite in direction. Source: Wikipedia
Ch2 – 5 AAE 590E BODY IN MOTION BODY IN MOTION The motion and changing the motion of a body can be described with: BODY PROPULSION Changing the Motion of a Body ! I = ! ! p = ! p f " ! p i = ! F dt t i t f # Impulse Linear Momentum ! p = m ! v Kinetic Energy E = 1 2 mv 2 ! v Body Newton’s Laws ! F = m ! a ! F ! a Body ! F environment ! ! v Body dm ! v ejected mass JET

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Ch2 – 6 AAE 590E EQUATIONS OF MOTION EQUATIONS OF MOTION Equations of Motion describe the motion of a particle or body, onto which a force is exerted, as a function of time. Newton’s Second Law: Acceleration: Velocity: Position: F ! = m " a a = F m a = dv dt v ( t ) = adt ! = at + C v = dx dt x ( t ) = vdt ! = v 0 t + 1 2 at 2 + D
Ch2 – 7 AAE 590E SYSTEM SYSTEM System: Moving Fluid Definitions: “System” is defined as an arbitrary quantity of mass of fixed identity. “Surrounding is everything external to this system. “Boundary” separates surroundings from system. Case: Control Volume is at rest. Control Volume is moving with a velocity. All Laws of Mechanics are written for a system stating what happens when there is an interaction between the system and its surroundings. Conservation of Mass Linear (Angular) Momentum Energy Equation !

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern