Question

A mass of 2kg is at attached to a spring with constant 8N/m. It is then displaced to the point x=2. What time does it take for the block to travel to the point x=1?​

Answer 1

0.523598776 seconds

Step-by-step explanation:

m =2 kg , k =8 N/m

`w = \sqrt {\frac {k}{m}}`

`w=\sqrt {\frac {8}{2}}= 2 rad/s`

x = xm cos(wt)

1 =2 cos(2t)

cos 2t=0.5

`2t=cos^(-1) 0.5=1.047197551`

t=0.523598776 seconds