Mass spring system Mass spring system Find the free motion o

Mass spring system

Mass -spring system. Find the free motion of the mass- spring system with mass 0.125 kg, damping 0, spring constant 1.125 kg/s2 assuming zero initial displacement and velocity. Use Matlab to draw the displacement of the mass during 10 seconds.

Solution

Sollution:

m= 0.125 , c=0 , k = 1.125 kg/s²

equation:

m d²x/ dt²+ c dx/dt + k x = 0,

c=0

w=sqrt(k/m)

=sqrt(1.125/0.125)

w =3 /s

x= wt

=3 *10

=30

time period T = 2*3.14/w

T=2.093

Not posible to matlab displace ment ananlysis