{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ase330m-fall08-hw02

# ase330m-fall08-hw02 - ASE330MFall2008:Homework#2...

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

ASE 330M Fall 2008: Homework #2 Due Monday, September 29 th The diagram below illustrates a particle P of mass m that is constrained to move radially along a recessed channel on a spinning turntable. The motion of the mass is subject to some stiffness and frictional losses, each represented by a linear spring of constant k and a linear damper of constant c, respectively. The unstretched length of the linear spring is roughly 0.10 m. In the diagram, the unit vectors ˆ i u are fixed on the spinning turntable so that 1 ˆ u is aligned with the channel, 3 ˆ u is normal to the plane of motion, and 2 3 1 ˆ ˆ ˆ u u u . An inertial coordinate system is defined through unit vectors ˆ i e . The relative orientation of the turntable with respect to the inertial frame is given by the angle   t such that when   0 t , the ˆ i u and ˆ i e unit vectors are aligned. The orientation illustrated below is a top view of the turntable such that gravity acts into the page (i.e. down).

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.
• Spring '10
• JEANNEFALCON
• Trigraph, Equilibrium point, linear state space, Unit  Vectors, constant parameter.  Derive, linear  spring

{[ snackBarMessage ]}