exam2_prac

exam2_prac - by a spring k. A T-shaped body consisting of...

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

View Full Document Right Arrow Icon
Exam 2 2.003 Dynamics and Vibrations This is a closed book quiz. Each student may bring two, sides of an 8; x 11 inch sheet of self-prepared notes. Problem 1 (lOpts) Collar B can slide along rod AC and is attached by a pin to a block that can slide in the vertical slot shown. The block is acted upon by a force P and a torque M is applied to the rod AC at the pivot point A. All sliding and rotating contacts are frictionless. (i) Determine the generalized force conjugate to the generalized coordinate 0. (ii) State the principle of virtual work and apply this ; princi determine the torque M required to maintain equilibrium. Cite as: Thomas Peacock, course materials for 2.003J/1.053J Dynamics and Control I, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
Background image of page 1

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

View Full DocumentRight Arrow Icon
Problem 2 (10 pts) - - A cart of mass ,V is attach( le wall
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: by a spring k. A T-shaped body consisting of two long, thin bars of mas ld length L is pinned to thc center of the cart, as shown in figure 2. Find the equations of motion of the system in terms of t,he generalized coordinates x and 3 using Lagrange's equations. - Cite as: Thomas Peacock, course materials for 2.003J/1.053J Dynamics and Control I, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. Problem 3 (lOpts) A bead of mass rn can slide freely along a taut string as shown in figure 3. Find e equilibrium position of the bead for R =constant, i d determine the stability of e equilibrium. th th Figure 3 Cite as: Thomas Peacock, course materials for 2.003J/1.053J Dynamics and Control I, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]....
View Full Document

Page1 / 3

exam2_prac - by a spring k. A T-shaped body consisting of...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online