# hw08 - AE 352 Aerospace Dynamics II Fall 2008 Homework 8...

This preview shows pages 1–2. Sign up to view the full content.

AE 352: Aerospace Dynamics II, Fall 2008 Homework 8 Due Friday, October 31 Problem 1. Greenwood 6-26. Problem 2. Let the position of a mass m be speciﬁed by ( x,y,z ). The mass is in a potential ﬁeld given by V = 1 2 k ( x 2 + y 2 + z 2 ) The mass is constrained according to 2 ˙ x + 3 ˙ y + 4 ˙ z + 5 = 0 a) Find the Lagrangian equations of motion in the form which includes constraint forces. b) Using the previous result, solve for the position of the mass as a function of time. Problem 3. Consider a satellite moving in a gravitational ﬁeld with potential Φ. A pendulum of mass m and length l is attached to the satellite. Let the position and velocity of the satellite be known (given) functions of time. Let O xyz denote a coordinate frame attached to the satellite. a) Write an expression for the constraint on the mass. b) Is the system holonomic or non-holonomic? Is the constraint scleronomic or rheonomic? c) Denoting the

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 ]}

### Page1 / 2

hw08 - AE 352 Aerospace Dynamics II Fall 2008 Homework 8...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online