4431HW2for2017 - Space Vehicle Dynamics Professor Richard...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Space Vehicle Dynamics Professor Richard Longman Homework #2 Problem #1 A kg 3 10 rocket is to be launched vertically. Propellant is expelled at . sec / 2 kg Find the velocity needed e v so the rocked could just begin to rise. Problem #2 Find ) ( ) 0 ( t m m of a rocket such that the maximum burnout speed is two times the speed of the exhaust gas relative to the rocket. Problem #3 If each stage of a five-stage rocket has a 90 percent chance of firing properly, what is the probability that the payload will reach the desired height? Problem #4 3-1-3 Euler Angles means first rotate about the initial 3-axis, then rotate about the resulting 1-axis, and finally rotate about the resulting 3-axis, as shown in the figure. Compute 41 A , where [ ] [ ] ) 1 ( 41 ) 4 ( e A e = .
Image of page 1

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

View Full Document Right Arrow Icon
Problem #5 Show by example that reversing the order of rotations produces a different resulting direction cosine matrix, so that the order of the rotations is important. Problem #6 Show that the determinant of a direction cosine matrix that relates a right handed coordinate system to another right handed coordinate system is equal to +1. And show
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern