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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?​

Respuesta :

opudodennis

Answer:

0.523598776  seconds

Explanation:

m =2 kg , k =8 N/m

[tex]w = \sqrt {\frac {k}{m}}[/tex]

[tex]w=\sqrt {\frac {8}{2}}= 2 rad/s[/tex]

x = xm cos(wt)

1 =2 cos(2t)

cos 2t=0.5

[tex]2t=cos^{-1} 0.5=1.047197551[/tex]

t=0.523598776  seconds

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