816_Dynamics 11ed Manual

816_Dynamics 11ed Manual - particular part y t ( ) A cos k...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Engineering Mechanics - Dynamics Chapter 22 Problem 22-41 Use a block-and-spring model like that shown in Fig. 22-14 a but suspended from a vertical position and subjected to a periodic support displacement of δ = 0 cos ω t , determine the equation of motion for the system, and obtain its general solution. Define the displacement y measured from the static equilibrium position of the block when t = 0. Solution: For Static Equilibrium mg k st = Equation of Motion is then k δδ st + y () mg m y'' = m y'' k y + k 0 cos t () = y'' k m y + k m 0 cos t () = The solution consists of a homogeneous part and a
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: particular part y t ( ) A cos k m t B sin k m t + 1 m 2 k cos t ( ) + = The constants A and B are determined from the initial conditions. Problem 22-42 The block of weight W is attached to a spring having stiffness k. A force F = F cos t is applied to the block. Determine the maximum speed of the block after frictional forces cause the free vibrations to dampen out. Given: W 20 lb = k 20 lb ft = F 6 lb = 814...
View Full Document

This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

Ask a homework question - tutors are online