hwsol05 2

hwsol05 2 - ME 358 Homework Solution 5 Problem 1 Derive the...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
ME 358 Homework Solution 5 Problem 1 Derive the differential equations of motion for each of the systems shown in the figure and write the formula for the circular natural frequency ω n for each system. Solution Assume y x > , y x > , 0 x > a) () () [] m k ky kx x m y x k x m 0 F n = ω = + + = = b)
Background image of page 1

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

View Full DocumentRight Arrow Icon
() ( ) ( ) m k F kx x c x m F kx x c x m 0 F n = ω = + + + + + = = c) () ( ) () ( ) () m k k 0 x k k x c x m x k x k x c x m 0 F 2 1 n 2 1 2 1 + = ω = + + + + + + = = d)
Background image of page 2
() () () [] () m k k y k x k k x m y x k x k x m 0 F 2 1 n 2 2 1 2 1 + = ω = + + + + = = e) () () [] () m k y c kx x c x m kx y x c x m 0 F n = ω = + + + + = = &
Background image of page 3

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

View Full DocumentRight Arrow Icon
() () ( ) ( ) () () m k k k k k k k k k k k k m k k k k k k k k k k k k 0 x k k k k k k k k k k k k x m 0 x k k k k k k x m 0 x k k k x m x k x k x k x m 0 F k k k k k k 1 k 1 k 1 4 3 4 3 4 2 3 2 4 1 3 1 4 3 4 3 4 2 3 2 4 1 3 1 n 4 3 4 3 4 2 3 2 4 1 3 1 4 3 4 3 2 1 total 2 1 total 2 1 4 3 4 3 total 4 3 total + + + + + = + + + + + = ω
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/14/2008 for the course ME 358 taught by Professor Smith during the Spring '08 term at Stevens.

Page1 / 10

hwsol05 2 - ME 358 Homework Solution 5 Problem 1 Derive the...

This preview shows document pages 1 - 5. Sign up to view the full document.

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