Question 856987
{{{m=2}}}
{{{L=0.5}}}
.
.
{{{F=kx}}}
{{{25.6=k(0.7)}}}
{{{k=36.57}}}
.
.
{{{y=a*cos(xt)+b*sin(xt)}}}
When {{{t=0}}}, {{{y=0.7}}},
{{{0.7=a*1+b*0}}}
{{{a=0.7}}}
When {{{t=0}}}, {{{dy/dt=0}}}
{{{dy/dt=-xa*sin(xt)+xbcos(xt)=0}}}
{{{-xa*0+xb*1=0}}}
{{{b=0}}}
{{{y=0.7cos(xt)}}}
{{{x=sqrt(k/m)}}}
{{{x=sqrt(36.57/2)}}}
{{{x=sqrt(18.286)}}}
{{{x=4.28}}}
So then,
{{{highlight(y=0.7cos(4.28t))}}}