Ask Experts Questions for FREE Help !
Ask
    bolt001's Avatar
    bolt001 Posts: 5, Reputation: 1
    New Member
    		  
    #1

    Jul 15, 2012, 10:42 AM
    expression
    A force of 3 N stretches a spring by 1 m. A mass of 4 kg is attached to the spring. At t=0 the
    mass is pulled down a distance 1 m from equilibrium and released with a downward velocity of
    0.5 m/s. Assuming that damping is negligible, determine an expression for the position of the
    mass at time t. Find the circular frequency of the system and the amplitude, phase, and period of
    the motion.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
    		  
    #2

    Jul 15, 2012, 10:44 AM
    So... what do you have so far?
    bolt001's Avatar
    bolt001 Posts: 5, Reputation: 1
    New Member
    		  
    #3

    Jul 15, 2012, 10:59 AM
    The basic differential equation for a mass, spring and damper is
    my''+cy'+kx=0
    but Since there is no damping, C= 0.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
    		  
    #4

    Jul 15, 2012, 11:00 AM
    Any work with the given values?
    bolt001's Avatar
    bolt001 Posts: 5, Reputation: 1
    New Member
    		  
    #5

    Jul 15, 2012, 11:06 AM
    Honestly, not really. F=kx
    k=3y N/m.
    4y''+3y=0 solving the ODE

    I don't know if this is right?
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
    		  
    #6

    Jul 15, 2012, 11:40 AM
    Well, I really don't know how you do it in your syllabus, but that's what I would have done: Simple harmonic motion - Wikipedia, the free encyclopedia

    Or:

    Then proceed to find the things asked for.
    bolt001's Avatar
    bolt001 Posts: 5, Reputation: 1
    New Member
    		  
    #7

    Jul 15, 2012, 11:45 AM
    Oh OK thanks. I'm working on it now
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search

Add your answer here.


Check out some similar questions!

Where does the expression [ 1 Answers ]

Where does the expression "If wishes were horses. beggars would ride" derive from?

What are the parts of an expression? [ 1 Answers ]

If you know how much 3 of an item costs, what operation do you use to find the unit cost?

Find the expression [ 2 Answers ]

the basic motion equation of a projectile is given by h=(vt)-(gt^2) where h is the height in m, t is the time taken in s, v is the vertical component, g is the acceleration. a)Find the expression for time of flight? b)Specify the expression for h such that there is no real solution?

Use a right triangle to write the expression as an algebraic expression. [ 1 Answers ]

sin(sin-1( x/2))

Simplify the expression- (y^3)(1/3) [ 1 Answers ]

(y^3)(1/3)

View more questions Search