# dyn7 - M which can rotate about the ﬁxed point O as shown...

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

2.032 DYNAMICS Fall 2004 Problem Set No. 7 Out : Wednesday, November 3, 2004 Due : Wednesday, November 10, 2004 at the beginning of class Problem 1 The force F acts horizontally at the end of the four-member linkage shown below. The linkage is described by the generalized coordinates ξ 1 = θ 1 , ξ 2 = θ 2 , ξ 3 = θ 3 , ξ 4 = θ 4 . Find the generalized forces Ξ 1 , Ξ 2 conjugate to the generalized coordinates ξ 1 , ξ 2 and due to the force F . You may not assume that θ 1 , θ 2 , θ 3 , θ 4 are small angles. 1 Courtesy of Prof. T. Akylas. Used with permission.

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

View Full Document
Problem 2 A pendulum consists of a rod of length L , mass m , and centroidal moment of inertia 1 12 mL 2 with a frictionless pivot at one end. The pendulum is suspended from a ﬂywheel of radius R and mass
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: M which can rotate about the ﬁxed point O, as shown below. (a) Select a complete and independent set of generalized coordinates. (Please deﬁne these coordinates clearly .) (b) Derive the Lagrangian equations of motion without making any approximations (small angles, etc.). L g R O 2 Courtesy of Prof. T. Akylas. Used with permission. Problem 3 Consider a bead of mass m sliding without friction on a rotating ring with radius r and negligible mass, as shown in the Fgure. The ring rotates about the vertical axis with constant angular velocity Ω. Derive the equation of motion of the bead using D’Alembert’s principle. 3...
View Full Document

## This note was uploaded on 02/24/2012 for the course MECHANICAL 2.032 taught by Professor Georgehaller during the Fall '04 term at MIT.

### Page1 / 3

dyn7 - M which can rotate about the ﬁxed point O as shown...

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

View Full Document
Ask a homework question - tutors are online